또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. Add and . sin(30+45) sin ( 30 + 45) Áp dụng công thức tổng của góc. cos ( α + β ) = cos α cos β − sin α sin β. 아래는 삼각형의 덧셈정리 입니다. Question: Find the value of sin 75 cos 75. The value of sin^2 5° + sin^2 10° + sin^2 15° + … + sin^2 85° + sin^2 90° is A.1.sinB and, sin (A - B) = sinA. The formula states that sin(A− How to find the value of cos 15° - sin 15° using trigonometric formulas? Learn the solution and the concept behind it with BYJU'S, the best online learning platform for maths and science. T 1,T 2, and T 3 are the (positive) magnitudes of the tension force in each string. Mathematics. 2、sin75°. sin 45° = 1/√2. Textbook Solutions 24549.cos 15° = t 2 Ahorra: 1,15 € (5 %) Los 21,75 € 21, 75 € Mientras otros cuerpos sin vida y vaciados de sangre aparecen en la ciudad, un equipo de rodaje graba un episodio para una nueva serie documental de Netflix y un senador preocupado por su reelección presiona al FBI para que resuelva la situación lo antes posible. Iklan. Example 11 Find the value of sin 15°. Example 4. The exact value of is . . 와.2 √3 + 1/2 √2 . ⇒ t = √(3/2) Download PDF. 참고로 sinx = cos (90-x)입니다. sin(30+45) sin ( 30 + 45) Apply the sum of angles identity. Terapkan identitas beda sudut. =sin (45°-30°). Split into two angles where the values of the six trigonometric functions are known. Terdapat soal sebagai berikut nilai dari sin 75 derajat + sin 15 derajat adalah untuk menyelesaikan soal tersebut kita gunakan konsep penjumlahan trigonometri yaitu jika ada sin a + sin b. Prove that the given identity is true.2. Stay updated with the Mathematics questions & answers with Testbook. Step 8. Step 5. sin 15° = cos 75° = 와 .cos30 + cos45. Solve. SINE TABLE : sin(0)=0. The exact value of is . =(根号6-根号2)/4. The trigonometric identities can be used to represent sin 15° as follows: sin(180° - 15°) = sin 165°-sin(180° + 15°) = -sin 195° cos(90° - 15°) = cos 75°-cos(90° + 15°) = -cos 105° Simplify: sin 15° sin 75° + cos 75° cos 15° - YouTube join our group for asking your maths doubt pls click below link sin 15° sin 75° Trigonometry Simplify sin (75)cos (15)+cos (75)sin (15) sin(75) cos (15) + cos (75)sin (15) sin ( 75) cos ( 15) + cos ( 75) sin ( 15) Simplify each term. Since cosine function is positive in the first quadrant, thus cos 15° value = (√6 + √2)/4 or 0.5 D. Step 6. View Solution. 12 Maret 2022 07:33. 아래는 삼각형의 덧셈정리 Click here👆to get an answer to your question ️ the value of sin 15circ is Kesimpulan. Question Papers 1978. .sinB ⇒ sin (75) + sin (15) = (sin45.988032 sin(45)=0. Concept Notes & Videos 720. Now write it in the reverse direction: Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step The value of sin 15° will be positive because 15° lies in the first quadrant. cos 15° = sin 75° = 입니다. What is value of expression 2(sin 15º+sin 75°)? Solution:--we know that. Solution: Using trigonometric identities, we know, sin(15°) = cos(90° - 15°) = cos 75°. cos(75)cos(15) - sin(75)sin(15) Simplify each term. Method 2: Another method to find the value of sin 15 degrees is join our group for asking your maths doubt pls click below link sin 15° sin 75° + cos 75° cos 15 Find the Exact Value sin(15) Step 1.258819045. OR. Tap for more steps √2 + √6 4 cos(15) The exact value of cos(15) is √6 + √2 4.732 and √2 = 1. Step 5. cos 75° cos 15" - sin 75°sin 15sin (750 - 159) sin 60° OC, cos 75 Another way to solve the Example 2 is to note that 15° = 90° - 75° and then to apply the formulas for the complementary angle and to use results of the Example 1: cos(15°) = sin(75°) = , sin(15°) = cos(75°) = , tan(15°) = cot(75°) = 1/tan(75°) = . We know by formulas that sin(A+B) = sinA. Untuk menghitung nilai sin 75 sin 15, kita perlu memahami terlebih dahulu tentang trigonometri dan bagaimana sinus dapat dihitung. The value will be expressed as requested; i. We have \(\begin{vmatrix} cos 15^\circ & sin 15^\circ\\[0. The sin of 15 degrees equals the y-coordinate (0.5 Matrices and Matrix Operations; 9.S. oblicz sin75° sellinka: Posługując sie wzorem sin (α +β)= sinαα ×cosβ + cosα × sinβ oblicz sin 75 stopni. The exact value of is . Answer: Using the values of $\sin 75$ and $\cos 75$ we can compute the value of the product $\sin 75 \cos 75. Ask Unlimited Doubts; Video Solutions in multiple languages (including Hindi) Video Lectures by Experts; Free PDFs (Previous Year Papers, Book Solutions, and many more) Attend Special Counselling Seminars for IIT-JEE, NEET and Board Exams; Login +91. MCQ Online Mock Tests 43. Step 5. Syllabus. ⇒ sin75∘ sin15 Maths Math Article Value Of Sin 15 Value of sin 15 Value of sine 15 degrees can be evaluated easily. 2. Start Test. Shortcuts & Tips.9659) of the point of intersection (0. \sec ^2 \theta-\tan ^2 \theta=1 sec2θ−tan2θ = 1. dxd (x − 5)(3x2 − 2) Integration. 3rb+ 1. Hasilnya dapat ditampilkan dalam beberapa bentuk.4. Step 6.893997 but this table is wrong when I checked it with the standard table. cos 15° = cos ( 45° - 30° ) = cos 45 cos 30 + sin 45 sin 30. sin 15° = sin (45° – 30°) = sin 45° cos 30° – cos 45° sin 30° = 1/√2 × √3/2 −1/√2 × 1/2 = 1/√2 ( (√3 − 1)/2) = (√𝟑 − 𝟏)/ (𝟐√𝟐) Next: Example 12 → Ask a doubt.22474487… The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). Jawaban terverifikasi. trigonometry. We know that √3 = 1. Step-by-step explanation: Given : Sin^2 15° + sin^2 30° + sin^2 45° +sin^2 60° +sin^2 75° To Find : The value of Sin^2 15° + sin^2 30° + sin^2 45° +sin^2 60° +sin^2 75° Solution : We know that, sin²a + sin²b = 1, where a + b = 90°.3, 5 Find the value of: sin 75° sin 75° = sin (45° + 30°) = sin 45° cos 30° + cos 45° sin 30° = 𝟏/√𝟐 × √𝟑/𝟐 + 𝟏/√𝟐 × 𝟏/𝟐 = 1/√2 (√3/2 " + " 1/2) = (√𝟑 + 𝟏)/ (𝟐√𝟐) Next: Ex 3.1 Systems of Linear Equations: Two Variables; 9. Sederhanakan suku-suku.ytitnedi selgna fo ecnereffid eht ylppA . = 1. Tonton video.5 D.3em] sin 15^\circ & cos 15^\circ \\[0. Recall that there are multiple angles that add or The value of Δ = ∣∣ ∣cos15∘ sin15∘ sin75∘ cos75∘∣∣ ∣ is[2 marks] View Solution. Limits. Step 1. Step 7. 0. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. As we know that, cos x cos y - sin x sin y = cos (x + y) ∴ cos 75° cos 15° - sin 75° sin 15° = cos (75° + 15°) = cos 90°.6 Solving Systems with Gaussian Elimination; 9. 입니다. Q 5.2 Systems of Linear Equations: Three Variables; 9. Dalam menghitung 2 sin 75 sin 15, kita mentransformasikan sin 75 dan sin 15 menjadi ekspresi matematika yang lebih sederhana dan akurat. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of sin 75 circ. View More. Calculation: Given: sin 15° sin 75° = sin 75° sin 15° = sin (90° - 15°). Q 5. Use integers or fractions for any numbers in the expression. cos 15° = sin 75° =. ⇒ sin 2 15° + cos 2 15° + 2sin 15°. Nilai eksak dari adalah . ⇒ sin(75) + sin(15) = … Find the Exact Value sin(75)+sin(15) Step 1. The SSC CGL Eligibility is a bachelor's degree in the concerned discipline.1 = ∘57nis∘51soc+ ∘57soc∘51nis :rewsna eht evah eW 8102 ,1 raM 93232nitram knil rewsnA 1 = )09(nis = )°57 + °51(nis = °57nis°51soc + °57soc°51nis :noitanalpxE .So this won't get us the answer. Simplify each term. So by applying the above formula we get, sin 75 ∘ = sin 45 ∘ cos 30 ∘ + cos 45 ∘ sin 30 ∘. Write the expression as a single trigonometric function.4 Partial Fractions; 9. 17 mar 12:14. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. Split into two angles where … The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan).1. Ex 3.1. I got 2 * (sin 15 + sin 75) 2 . To calculate the sine of a half angle sin (x/2), follow these short steps: Write down the angle x and replace it within the sine of half angle formula: sin (x/2) = ± √ [ (1 - cos x)/2]. sin75-cos75=sin75-sin15=2cos (75+15)/2sin (75-15)/2=2cos45sin30=√2/2.. Maths Tricks. cos 75° - sin 15° .2588 + 0. sin(75)cos(15) + cos(75)sin(15) Sederhanakan setiap suku. Now, let A = 30 ° then, A 2 = 30 ° 2 = 15 ° and from the above equation we get, sin 15 ∘ + cos 15 ∘ = ± 1 + sin 30 ∘ Similarly, for all values of the angle A , sin A 2 - cos A 2 2 = sin 2 A 2 + cos 2 A 2 - 2 sin A 2 cos A 2 = 1 - sin ( 2 × A 2 ) [ ∵ sin 2 θ + cos 2 θ = 1 a n d sin 2 θ = 2 sin θ c o s θ ] = 1 - sin A Write the given expression as a single trigonometric function. 02:45. In this post, we will learn how can we find value of sin 15, sin 75, cos 15, cos 75, tan 15, tan 75, cot 15, cot 75, sec 15, sec 75, cosec 15 and cosec 75 degrees. Prove that cos 105° + cos 15° = sin 75° − sin 15°. Agriculture MCQ Statistics MCQ. Find the answer sec 2 10 − cot 2 80 + sin 15. Given trigonometric ratio: sin 75 ∘ sin 75 ∘ can be expressed as, sin 75 ∘ = sin ( 45 ∘ + 30 ∘) We know that sin ( A + B) = sin A cos B + cos A sin B So by applying the above formula we get, sin 75 ∘ = sin 45 ∘ cos 30 ∘ + cos 45 ∘ sin 30 ∘ Trigonometry Find the Exact Value sin (75)cos (15) sin(75)cos(15) The exact value of sin(75) is √2 + √6 4. Step 5. Expert-verified. sin(30)cos(45)+cos(30)sin(45) sin ( 30) cos ( 45 Now the sum formula for the sine of two angles can be found: sin(α + β) = 12 13 × 4 5 +(− 5 13) × 3 5 or 48 65 − 15 65 sin(α + β) = 33 65 sin ( α + β) = 12 13 × 4 5 + ( − 5 13) × 3 5 or 48 65 − 15 65 sin ( α + β) = 33 65. (sin75度+cos75度)/ (sin75度-cos75度)=√6/2 / √2/2=√3. sin 75°: Now using the formula for the sine of the sum of 2 angles, sin ( A + B) = sin A cos B + cos A sin B, we can find the sine of (45° + 30°) to give sine of 75 degrees. $$ Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Tap for more steps 2 +√3 4 + 2−√3 4 2 + 3 4 + 2 - 3 4 Simplify terms.cosB - cosA. 8 C. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Introduction to Systems of Equations and Inequalities; 9.22474487139158904 View solution steps Factor 214⋅51717⋅29⋅137⋅509⋅445318127 = 1 125000000000000002809310892394864 ≈ 1.707. Trigonometri adalah cabang matematika yang mempelajari hubungan antara sudut dan panjang sisi segitiga. Ketuk untuk lebih banyak langkah √6 2. Click here:point_up_2:to get an answer to your question :writing_hand:evaluate the following determinants beginvmatrix cos15circ sin15circ sin75circ. In this post, we will learn how can we find value of sin 15, sin 75, cos 15, cos 75, tan 15, tan 75, cot 15, cot 75, sec 15, sec 75, cosec 15 and cosec 75 degrees. The SSC CGL Eligibility is a bachelor’s degree in the concerned discipline. 3. … Simultaneous equation. The exact value of sin(15) sin ( 15) is √6−√2 4 6 - 2 4.258819 sin(30)=0. Standard XII. sin 75° + sin 15° = 2 cos 90° sin 60° O c.cosA 2(sin 15+ sin 75)^2 . The sin of 15 degrees is (√6-√2)/4, the same as sin of 15 degrees in radians. To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. sin 15° = sin (45° - 30°) = sin 45° cos 30° - cos 45° sin 30° = 1/√2 × √3/2 −1/√2 × 1/2 = 1/√2 ( (√3 − 1)/2) = (√𝟑 − 𝟏)/ (𝟐√𝟐) Next: Example 12 → Ask a doubt., in EXACT form Values of sin 15, cos 15, tan 15. We now find the sine of 36°, by first finding the cos of 36°.5. = 1/4 ( √6 + √2 ) Demikianlah contoh-contoh soal trigonometri dan pembahasannya. 1. sin 75° + sin Explanation: For cos 15 degrees, the angle 15° lies between 0° and 90° (First Quadrant ). sin 75° + sin 15° Choose the correct answer below. Click here👆to get an answer to your question ️ Evaluate sin 15^∘sec 75^∘.2588 + 0. Tentukan Nilai yang Tepat sin(15 derajat ) Step 1. The sin of 75 degrees equals the y-coordinate (0. As, sin 45 ∘ = 1 2, cos 30 ∘ = 3 2 Terdapat soal sebagai berikut nilai dari sin 75 derajat + sin 15 derajat adalah untuk menyelesaikan soal tersebut kita gunakan konsep penjumlahan trigonometri yaitu jika ada sin a + sin b.Find the value of sin75 ° + sin15 ° Solution: sin (75) + sin (15) = sin (45 + 30) + sin (45 - 30) We know that, sin (A + B) = sinA. Our results of sin15° have been rounded to five decimal places. Hence the value of sin 75° = y = 0. matematykaszkolna. sin 15° = 1 2 2. Chapter 3 Class 11 Trigonometric Functions. Ketuk untuk lebih banyak langkah Sederhanakan suku-suku. The exact value of is . The sin of 75 degrees equals the y-coordinate (0. BUT we don't know sine and cosine of #75^@#. Apply the difference of angles identity. The value of cos15∘ +sin15∘ cos15∘ −sin15∘ is. Important Solutions 1004. Hence the value of sin 75° = y = 0. MCQ Online Mock Tests 22. Exact Form: √6 2 Decimal Form: 1.2588) of the point of intersection (0. trigonometry. 1 + 2 tan2 θ + 2 sin θ sec2 θ, 0° θ 90°, is equal to. The right rope hangs from the right wall at an angle of 75 degrees from the wall. The exact value of is .2588, 0. Tonton video. Figure 2 The Unit Circle. We know by formulas that sin(A+B) = sinA.1. Tap for more steps 1 4 - 1 4. sin 15° Multiply and divide by 2, we get = \(\dfrac 12\) 2. sin (75°) cos (159) + cos (75°) sin (15°) sin (75°) cos (15°) + cos (75°) sin (15°) = | (Type an exact answer, using radicals as needed. sin 15 = sin 30 2 = 1 − cos 30 2− −−−−−−−−√ = 1 − 3√2. Solve your math problems … cos(90° - 75°) = cos 15°-cos(90° + 75°) = -cos 165° Sin 75 Degrees Using Unit Circle. Step 5. Tap for more steps √2 + √6 4 + √6 - √2 4 Simplify terms. You can obtain the values from a table and then work out the arithmetic. What is trigonometry used for? Trigonometry is used in a variety of fields and applications, including geometry, calculus, engineering, and physics, to solve problems involving angles, distances, and ratios. (i) sin2 +sin275 cos236 +cos2.

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But in that case the multiple angle formula gives us the $\sin \left( 75\times 2 \right)=\sin 150$ instead of $\sin 30=\dfrac{1}{2}$. (3) and (4) we get, 2 sin 15° = √(1 + ½) – √(1 – ½) 2 sin 15° = (√3−1)/√2.9659 (approx). $$ Then I got $$ (\sqrt{3}-2) \sin(15^°) = \cos(15^°). cos 15°.pl.3em] \end{vmatrix}\) On expanding the above, ⇒ {cos 15°} {cos 15°} - {sin 15°} {sin 15°} On applying formula cos(A + B) = cos A cos B - sin A sin B = cos (15 + 15) = cos (30°) exact value of sin 75 + sin 15 Jika diketahui bahwa cos 1/2 theta=akar ( (x+1)/2x), operas Tentukan nilai dari sin 105+sin 15. 9. sin 75° = cos (15° + 75° ) = cos 90° = 0 [since cos (A + B) = cos A. So, sin45 + sin15 = √2 + √2 − √3 2. cos50 ∘ cos5 ∘ + sin50 ∘ sin5 ∘ = cos(50 ∘ − 5 ∘) = cos45 ∘ = √2 2. Click here👆to get an answer to your question ️ Prove that 2sin 75^o sin 15^o = 12. The exact value of is . Doubtnut is No. cos 15°. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of … The value of the expression $2{{\left( \sin 15+\sin 75 \right)}^{2}}$ is 3. If you want sine 15° with higher accuracy, then use the Here, we have to find the value of sin 75° cos 15° + cos 75° sin 15°. Step 5.414. Rewrite given expression as a sum or difference, then simplify if possible. sin 75° + sin 15° = 2 sin 45° cos 30° OD.9659) 2 This video works to determine the exact value for the sine of 15 degrees in two different ways: using the difference formula for sine and using the half-angl The values of the given problems are: sin(75°) + sin(15°) ≈ 1. Click a picture with our app and get instant verified solutions. Question 3: Find the value of sin(120°) Solution: We can write 120° as (180° - 60°), So, sin(120°) = sin(180° - 60°) ⇒ sin 15° + sin 75° = sin 15° + cos 15° = t. Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember Surabaya. Placement Papers. To find the value of sin 75 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 75° angle with the positive x-axis. Tap for more steps Multiply √6−√2 4 ⋅ π 180 6 - 2 4 ⋅ π 180. 2cos^2 (15)-1. Nilai eksak dari adalah . cos 30°=√3/2. Find the EXACT value of sin(15°) using a sum or difference formula. Sudut A dan sudut B Nilai dari sin 255 adalah . Tap for more steps 1 1 Answer (Detailed Solution Below) Option 3 : √ (3/2) Free Tests View all Free tests > Free SSC CGL: Full Mock Test 4. Tap for more steps Step 1. These formulas can be derived from the product-to-sum identities.25881.wonk ew enisoc dna enis esohw dna ,51 si ecnereffid esohw ro mus esohw #B# dna #A# selgna owt )fo kniht( dnif nac ew fI . If sin (A + B) = sin A cos B + cos A sin B and cos (A - B) = cos A cos B + sin A sin B, find the values of (i) sin 75∘ and (ii) cos 15∘.. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠. Find the Exact Value sin(15) Step 1.cosB + cosA. c o s 15 o. Science Anatomy & Physiology Astronomy Astrophysics Biology Chemistry Simplify (sin 75^(@)-sin 15^(@))/(cos 75^(@)+cos 15^(@)) 03:25.26179 . sin 75 ∘ can be expressed as, sin 75 ∘ = sin ( 45 ∘ + 30 ∘) We know that sin ( A + B) = sin A cos B + cos A sin B. It is important that topic is mastered before continuing Read More. Maka rumusnya … \sin (75)\cos (15) en. What is trigonometry used for? Trigonometry is used in a variety of fields and … In this comprehensive trigonometry tutorial, we delve into the world of compound angles and demonstrate how to calculate the values of sin (75) and sin (15) … sin45 = sin90 2 = √1 − cos90 2 = √1 2 = √2 2. Note: we can also convert $\sin 15$ into $\cos 75$. Q 4. 150∘ = 5 × 30∘ and sin150∘ = 1 2 and cos150∘ = − √3 2. . Calculate s i n 15 o.9659258. sin 15° = cos 15°. Serial order wise. The Tier-1 Examination was conducted from 14th July 2023 to 27th July 2023. can be obtained using. Những bài toán phổ biến. Find the exact value of the expression. Sin 15 degrees can also be expressed using the equivalent of the given angle (15 degrees) in radians (0. =1/2 x 根号2/2 +根号3/2 x 根号2/2.51 nis 57 nis ialiN nabawaJ .51. View Solution.9659) of the point of intersection (0. = 1/2 √2 . Example 3: Find the value of 5 sin(15°)/7 cos(75°). One is longer, but the Sqrt's are nested only two deep; one is more concise but the Sqrt's are three deep.. Trigonometry questions and answers. In this case, 15 15 can be split into 60 −45 60 - 45. 아래는 삼각형의 덧셈정리 Click here👆to get an answer to your question ️ the value of sin 15circ is Kesimpulan. Step 4. In a previous post, we learned about trig evaluation. View Solution. Ketuk untuk lebih banyak langkah Penjawab soal matematika gratis menjawab soal pekerjaan rumah aljabar, geometri, trigonometri, kalkulus, dan statistik dengan penjelasan langkah-demi-langkah, seperti Constitution of India MCQ Cost Accounting MCQ. We have to convert the associative angle using other formulas to simplify it. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest Бесплатное решение математических задач с поэтапными пояснениями поможет с домашними заданиями по алгебре, геометрии, тригонометрии, математическому анализу и статистике подобно репетитору по математике. The exact value of is . So.3, 5 (ii) → Ask a doubt. Add and . the SSG has released the revised result for the exam held on the 26th and 27th of October 2023. Download Solution PDF. Start with the definition of cotangent as the inverse b. I got 2 * (sin 15 + sin 75) 2 . 30 +165 -- I don't recognize 165∘ as a multiple of a special angle. . We would like to show you a description here but the site won't allow us. Get Started. Subham Karmakar Subham Karmakar. sin 75° + sin 15° = 2 sin 90° sin 60° O B. Parentheses will be used to create non-ambiguous expressions. Separate negation. Expanding the determinant, we get . sin 75° + sin 15° = 2 sin 45° sin 30° O E. $$ Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to … Sin 15 degrees is the value of sine trigonometric function for an angle equal to 15 degrees. Click here👆to get an answer to your question ️ Prove that sin 75^∘ - sin 15^∘ = cos 105^∘ + cos 15^∘ . Pull terms out from under the radical. sin(30+45) sin ( 30 + 45) Apply the sum of angles identity. 2) Rewriting sin75.cos 15° = t 2. 01:58. 3. Herdianira. or, sin 15° – cos 15° = – √2/2. Here, we have to find the value of cos 75° cos 15° - sin 75° sin 15°. Transcript. Step 4. Evaluate the following and justify your answer. Jawaban Nilai sin 75 sin 15. Join / Login. Q.3. Tìm Giá Trị Chính Xác sin (75 độ ) sin(75°) sin ( 75 °) Chia 75 75 thành hai góc trong đó các giá trị của sáu hàm lượng giác cơ bản đã biết. MH. cos 15° cos 75° - sin 15° sin 75° 4. Co-ordinate geometry. Sports - 01. Tap for more steps √6 2 The result can be shown in multiple forms. sin(60−45) sin ( 60 - 45) Use the difference formula for sine to simplify the expression. Karnataka Board PUC PUC Science 2nd PUC Class 12. Let u + v 2 = α and u − v 2 = β. Similar Questions. {8x + 2y = 46 7x + 3y = 47. Dengan menggantikan nilai sin 75 = (√6 + √2) / 4 dan sin 15 = (√6 - √2) / 4 ke dalam Transcript. sin(45−30) sin ( 45 - 30) Separate negation. Step 7.8 Solving Systems with Cramer's Rule Trigonometri Contoh.850904 sin(60)=-0. 7 B. View Solution. These ratios help us in finding angles and lengths of sides of a right triangle. Jawaban terverifikasi. Click a picture with our app and get instant verified solutions. Trigonometri adalah cabang matematika yang mempelajari hubungan antara sudut dan panjang sisi segitiga. Click here:point_up_2:to get an answer to your question :writing_hand:find the answer sec 2 10 cot 2 80cfrac sin 15 cos. cos ( α + β ) = cos α cos β − sin α Sa se calculeze: A)sin 75; - 612819. Follow answered Jun 16, 2021 at 13:46. Tentukan nilai dari 2sin 75cos 15. Guides. Split into two angles where the values of the six trigonometric functions are known. 참고로 sinx = cos(90-x)입니다. Ekspresi sin 2x cos 2x ekuivalen dengan ekspresi . Tap for more steps Step 1. cos 75 + cos 15 sin 75 cos Using fundamental theorem of determinant, ∣ ∣ ∣ cos 15 o sin 15 o sin 75 o cos 75 o ∣ ∣ ∣ = cos 15 o cos 75 o − sin 15 0 sin 75 o = cos (75 o + 15 o) = cos 90 o = 0, [using sum to product formula] Find: sin 75 deg Answer: sin 75 = +- sqrt(2 + sqrt3)/2 Call sin 75 = sin t --> cos 150 = cos 2t On the trig unit circle, cos (150) = cos (180 - 30) = - cos 30 View Solution. See Answer. 1 2cos(45)+cos(30)sin(45) 1 2 cos ( 45) + cos ( 30) sin ( 45) The exact Find the value of given trigonometric ratio.noituloS weiV snoitcnuf cirtemonogirt )stniop k2. Hence the value of sin 15° = y = 0. Question: Express the sum as a product. Use a sum or difference identity to find an exact value of cot(5π 12). … sin 2θ = 2 sin θ cos θ .000000 sin(15)=0.2. Expand Using Sum/Difference Formulas sin (15) sin(15) sin ( 15) First, split the angle into two angles where the values of the six trigonometric functions are known. . The exact value of is . TCS Numerical Ability Question Solution - Find the value of sin 75° + sin 15° = ? or. 2 * (0. Sin 15degrees = sin (1/12 × π). Note: we can also convert $\sin 15$ into $\cos 75$.9659) 2 This video works to determine the exact value for the sine of 15 degrees in two different ways: using the difference formula for sine and using the half-angl The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). În prima lună s-au realizat 21 936 bilete, iar în a doua lună de 3 ori mai puţ … Today's Puzzle. If sin (A + B) = sin A cos B + cos A sin B and cos (A - B) = cos A cos B + sin A sin B, find the values of (i) sin 75∘ and (ii) cos 15∘. Separate negation. =sin (30°+45°). 1 2cos(45)+cos(30)sin(45) 1 2 cos ( 45) + cos ( 30) sin ( 45) sin(75) +sin(15) Solve Evaluate 1.7 Solving Systems with Inverses; 9. \sin 8 x \cos 7 x-\cos 8 x \sin 7 x sin8xcos7x−cos8xsin7x. Share. 1/2.965926 sin(90)=1. so, =4×1/√2 × √ cos (A + B) = cos A cos B - sin A sin B.1. View Solution. 7 Min. Untuk menghitung nilai sin 75 sin 15, kita perlu memahami terlebih dahulu tentang trigonometri dan bagaimana sinus dapat dihitung.2. Example 11 Find the value of sin 15°. Squaring on both sides, we get.16. Tap for more steps Step 1.cos30 sin(75) + sin(15) Simplify each term. The Tier-1 Examination was conducted from 14th July 2023 to 27th July 2023. This year, SSC completely changed … Calculati sin 15° + sin 75° - 4066098. But in that case the multiple angle formula gives us the $\sin \left( 75\times 2 \right)=\sin 150$ instead of $\sin 30=\dfrac{1}{2}$. Note: Since, cosine is an even function, the value of cos (-15°) = cos (15°). I don't know how to combine trigonometric ratios to equivalencies.22 sin(75°) - sin(15°) ≈ 0. To find the value of sin 75 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a … The value of sin 15 degrees in decimal is 0. nilai sin 15° + sin 75° per cos 15° - cos 105° adalah. Domain and Range of Trigonometric Ratios. sin75 = sin(45 + 30) = … Split 75 75 into two angles where the values of the six trigonometric functions are known. I don't know how to combine trigonometric ratios to equivalencies.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc Sin and Cos of 3°, 21°, 33°, 39°, 51°, 57°, 69°, and 87° each have two answers. Step 3.2588, 0. 참고로 sinx = cos (90-x)입니다. Tonton video. cos 15° .500000 sin(45)=0. CBSE Science (English Medium) Class 12. ∫ 01 xe−x2dx. Step 7. A concise two-deep answer would be preferred, and other simplifications are also welcomed. In this solution the following will be strictly adhered to: 1. Download Solution PDF.1. Question: 3. Dalam menghitung 2 sin 75 sin 15, kita mentransformasikan sin 75 dan sin 15 menjadi ekspresi matematika yang lebih sederhana dan akurat. Note: We could also find the sine of 15 degrees using sine (45° − 30°). Dalam trigonometri, sin 75 dan sin 15 adalah nilai sinus dari sudut 75 derajat dan 15 derajat. Important Solutions 7569. Nah untuk yang seperti ini itu ada komosta Sendirinya lagi sin a ditambah B = Sin a * cos B + cos a * sin B pertama-tama kita cari Sin 5 + 35 dulu karena telah kita dapat sin75 ini baru kita bisa masukkan ke sini karena untuk sudah sampai 5 derajat Jika ini kita pecah lagi dia itu jadi 3 jadi 45 + 90 Tapi ngomongnya itu hanya seperti ini maka Get the Free Answr app.3 Systems of Nonlinear Equations and Inequalities: Two Variables; 9. Tap for more steps Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. In this video, we solve another math challenge problem: sin 75 + sin 15. 17 mar 12:16. Show transcribed image text.3 Lakh Users 100 Questions 200 Marks 60 Mins Start Now Detailed Solution Download Solution PDF ⇒ sin 15° + sin 75° = sin 15° + cos 15° = t Squaring on both sides, we get ⇒ sin 2 15° + cos 2 15° + 2sin 15°.cosB + cosA. Concept Notes & Videos 386 Syllabus. View Solution. Determine the sign using the half angle: Positive (+) if the half angle lies on the 1st or 2nd quadrants; or. jika kalian menemukan soal seperti ini maka cara penyelesaiannya kalian bisa menggunakan rumus trigonometri yaitu Sin a + b di sini bisa kita Tuliskan rumusnya seen as a + b itu bisa dijabarkan menjadi sinus cosinus B ditambah dengan cosinus a b, maka dari itu disini kita mempunyai 75 ada di sini sih Nas 75 itu bisa kita Ubah menjadi Sina 45 ditambah 30 Maka hasilnya menjadi 45 dikalikan You can put this solution on YOUR website! Sin 75°+cos 75° ~~~~~ sin(75°) + cos(75°) = (use cos(75°) = sin(90°-75°) = sin(15°) ) = sin(75°) + sin(15 So, sin 15° cos 15° = (1/2) sin (2*15°) = (1/2)sin 30° Cos15 o - sin15 o =? Q. 45 +150 -- I note that 150 is divisible by 30, so I should know the sine and cosine of 150∘. Step 2.

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Question. What is trigonometry used for? Trigonometry is used in a variety of fields and applications, including geometry, calculus, engineering, and physics, to solve problems involving angles, distances, and ratios. Diketahui cos A=5/3 dan cos B=13/12. 2 * (0. 1、sin15°. Salah satu fungsi trigonometri yang penting adalah fungsi sinus (sin). Rewrite as . = (根号2+根号6)/4. ⇒ sin(15°) = cos(75°) sin 15° = cos 75° =.cosB+sinB. The whole trigonometric functions and formulas are designed based on three primary ratios. 1) A mass of m=10−kg hangs by the combination of ropes shown in the figure. The exact value of is . Dengan menggantikan nilai sin 75 = (√6 + √2) / 4 dan sin 15 = (√6 – √2) / 4 … Transcript. Nilai dari cos 75 cos 15-sin 75 sin 15 adalah . ⇒ 1 + sin 30° = t 2. Find the Exact Value sin (15 degrees ) sin(15°) sin ( 15 °) Split 15 15 into two angles where the values of the six trigonometric functions are known. Step 6. Use app Login.cos30 - cos45. 17 mar 13:12.2k points) trigonometric functions View Solution. Trig Functions are FUNCTIONS and proper functional notation should always be used. In this comprehensive trigonometry tutorial, we delve into the world of compound angles and demonstrate how to calculate the values of sin(75) and sin(15) us Ask Question Asked 9 years ago Modified 9 years ago Viewed 2k times 3 Steps I took: 1) Finding the value of the left hand side sin45 = sin90 2 = √1 − cos90 2 = √1 2 = √2 2 sin 15 = sin 30 2 = 1 − cos 30 2− −−−−−−−−√ = 1 − 3√2 So, sin45 + sin15 = √2 + √2 − √3 2 2) Rewriting sin75 Split 75 75 into two angles where the values of the six trigonometric functions are known. the SSG has released the revised result for the exam held on the 26th and 27th of October 2023. Evaluate: cos 15 ° sin 15 ° sin 75 ° cos 75 ° Q. Tap for more steps (√2 + √6)(√6 + √2) 16 Here is another Method to prove the Result : Observe that the Exp.sinB and, sin(A – B) = sinA. Nilai dari 2sin 67,5cos 67,5=. ⇒ 1 + 1/2 = t 2. Step 2. Combine fractions. 三角函数是基本初等函数之一,是以角度(数学上最常用弧度制,下同)为自变量,角度对应任意角终边与单位圆交点坐标或其比值为因变量的函数。. See Table 1. Tap for more steps Combine fractions. 8sin15cos15 b.304811 sin(75)=-0. The exact value of is . 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. 8 C. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠. sin (90° + x) - sin (90° — 2) = 0. Q 5. . Textbook Solutions 13653.sinB . Tap for more steps √2 + √6 4 ⋅ √6 + √2 4 Multiply √2 + √6 4 ⋅ √6 + √2 4. Ketuk untuk lebih banyak langkah √2 + √6 4 + √6 - √2 4.$ As we know from above that sin 75 = (√3+1)/2√2 and cos 75 = (√3-1)/2√2, so we get that . 0. sin(45−(30)) sin ( 45 - ( 30)) Apply the difference of angles identity.2588) of unit circle and r. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠. ⇒ cos 15° = cos 375° = cos 735°, and so on. sin(75°) = (√(3)+1) / (2√2) And, cos(75°) = cos(45° + 30°) We also have a compound angle formula for cosine function, Thus, sin(15°) = 0. Split into two angles where the values of the six trigonometric functions are known. sin(45)cos(30)−cos(45)sin(30) sin ( 45) cos ( 30) - cos ( 45) sin ( 30) 解答过程如下:. Prize & Rules. sin A + sin B = 2sin{(A+B)/2}cos {(A-B)/2} so, 2(sin 15º+sin 75°) = 2×2 sin {(15+75)/2}cos {(15-75)/2} =4sin {90/2}cos {(-60/2)} =4sin 45° cos (-30°) we know. componendo-dividendo on sin75∘ sin15∘. Recall that formula: sin(x + y) = sinxcosy +cosxsiny. oblicz sin75°. The exact value of is . Iklan. a si tu cu transformarea sumei in produsgasesti formula pe neteu n-am invatat-o niciodata si am promovat bine mersinu o sa itidea la BAC asa cevasau faci cu sin (45-30)+sin(45+30) astase face mai usor si dac ar trebuisa o fac far acces la formule , pe calea asta as merge Sin15, Sin75, Cos15, Cos75, Sin18, Sin36, Sin54, Sin72, Cos18, Cos36, Cos54, Cos72 trigonometrik değerleri tablodadır (nedir). 也可以 Answer: sin^2 15° + sin^2 30° + sin^2 45° +sin^2 60° +sin^2 75° = 2. Find the exact value of sin15∘ sin 15 ∘. Step 2. To obtain 15 degrees in radian multiply 15° by π / 180° = 1/12 π. Find the exact value of the expression cos 75°cos 15° - sin 75°sin 15° Rewrite the expression using a sum or difference formula Choose the correct answer below. Maka rumusnya ialah 2 Sin setengah a + b dikali cos setengah A min b tersebut kita aplikasikan konsep tersebut kesal tadi pertama tulis dulu Sin 75 derajat Calculati sin 15° + sin 75° - 4066098. 와. a si tu cu transformarea sumei in produsgasesti formula pe neteu n-am invatat-o niciodata si am promovat bine mersinu o sa itidea la BAC asa cevasau faci cu sin (45-30)+sin(45+30) astase face mai usor si dac ar trebuisa o fac far acces la formule , pe calea asta as merge Sin15, Sin75, Cos15, Cos75, Sin18, Sin36, Sin54, Sin72, Cos18, Cos36, Cos54, Cos72 trigonometrik değerleri tablodadır (nedir). Explanation: The expression given matches the pattern of the formula for sin(x + y).71 How to solve Using angle sum and difference identities, we can calc… cos(15)cos(75) - sin(15)sin(75) Simplify each term. Let's see how we can do that step by step. This year, SSC completely changed the exam pattern..cosA 2(sin 15+ sin 75)^2 . sin 15° Multiply and divide by 2, we get = 1 2 2. Join BYJU'S Learning Program. Chapter 3 Class 11 Trigonometric Functions. .isagen nakhasiP .H. 9. Tap for more steps Step 1. Evaluate the following and justify your answer.cosB – cosA.cosB+sinB. cos (-x)=cos x.9659, 0. . So, sin 15° – cos 15° < 0. Ask Unlimited Doubts; Video Solutions in multiple languages (including Hindi) Video Lectures by Experts; Free PDFs (Previous Year Papers, Book Solutions, and many more) Attend Special Counselling Seminars for IIT-JEE, NEET and Board Exams; Login +91.FO °03 nis °54 soc 2 = °51 nis + °57 nis . Step 4. Pass; Skill Academy; Free Live Classes; Free Live Tests & Quizzes; Previous Year Papers; Doubts; Evaluate the Following Determinant: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ . 4 În trei luni la teatrul ,,Luceafărul" s-au realizat 54 728 de bilete. … The value of sin^2 5° + sin^2 10° + sin^2 15° + … + sin^2 85° + sin^2 90° is A. Differentiation. The exact value of is . . cos 15° We know that sin 2θ = 2 sin θ cos θ = 1 2 × sin 2 (15°) = 1 2 × sin (30°) = 1 2 × 1 2 = 1 4 Values of Sin 15, cos 15 ,tan 15 ,sin 75, cos 75 ,tan 75 of degrees can be easily find out using the trigonometric identities. Step 1. Example 3 Find , and , if , and and are the first quadrant angles. Step 5. sin195∘ = sin(45∘ +150∘) = sin45∘cos150∘ + cos45∘sin150∘ $\cos 105° + \sin 75°= \cos 105° +\cos 15°= \cos(60+45)+\cos (60-45)$ Check from the above given formulas, and you should get the same answer.707107 sin(60)=0. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. M. Value of sin 15 in fraction form = √3 - 1 2√2. If we divide the numerator of the value of sin 15 in fractional form with its denominator we will get a decimal number. The exact value of is . We have to convert the associative angle using other formulas to simplify it. The left rope hangs from the left wall at 50 degrees from the wall.sin30) = 2sin45. Tonton video.). so, = 4sin 45° cos 30° we know. Enter a problem Cooking Calculators. cos (15° + 75°) = cos 15° cos 75° - sin 15° cos 75° ⇒ cos 90° = cos 15° cos 75° - sin 15° cos 75° So, substituting it, we get. Apply the difference of angles identity. Walkins.1. Jika diketahui x+y=270 maka . 7 B. Replace A by 15° and B by 75°. Tentukan nilai dari: a. sin(75) + sin(15) = sin(45 + 30) + sin(45 – 30) We know that, sin(A + B) = sinA. As we know that, sin x cos y + cos x sin y = sin (x + y) ∴ sin 75° cos 15° + cos 75° sin 15° = sin (75° + 15°) = sin 90°. Kita gunakan rumus selisih cos ( α - β ) = cos α cos β + sin α sin β. The value of the expression $2{{\left( \sin 15+\sin 75 \right)}^{2}}$ is 3. sin 15° = cos 15°. Separate negation. sin B] The sum-to-product formulas allow us to express sums of sine or cosine as products. Then, Evaluate the following and justify your answer. on the L. Exams SuperCoaching Test Series Skill Academy. Related Symbolab blog posts. 421 2 2 silver badges 14 14 bronze badges Trigonometry Examples.3. Step by step video & image solution for What is value of expression 2(sin15^(@)+sin75^(@))^(2)? by Physics experts to help you in doubts & scoring excellent marks in Class 12 exams. If possible, find this product's exact value.Previous video in this series: video in this series: Once you know the general form of the sum and difference identities then you will recognize this as cosine of a difference.9659) of unit circle and r. Sum formula for cosine. Step 8. Tentukan Nilai yang Tepat sin (75)+sin (15) sin(75) + sin(15) Sederhanakan setiap suku. =sin45°cos30°-cos45°sin30°. Salah satu fungsi trigonometri yang penting adalah fungsi sinus (sin). SSC CGL Result Out on 6th December 2023. Using the trigonometric identity, cos 90° = 0 Evaluate: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ . … Split 75 75 into two angles where the values of the six trigonometric functions are known. High School Math Solutions – Trigonometry Calculator, Trig Equations. sin(30+45) sin ( 30 + 45) Apply the sum of angles identity. Step 1. You can obtain the values from a table and then work out the arithmetic. (i) sin215 +sin275 cos236 +cos254.e.650288 sin(30)=-0. Bagi menjadi dua sudut di mana nilai dari enam fungsi trigonometrinya diketahui.9659) of unit circle and r. 10 asked Jun 4, 2021 in Trigonometry by Daakshya01 ( 30. Evaluate the Following Determinant: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin SSC CGL Result Out on 6th December 2023. Evaluate ∣∣ ∣cos15∘ sin15∘ sin75∘ cos75∘∣∣ ∣. 15 +180 will work, if you know sin15.866025 sin(75)=0. sin 75 cos 75 . sin 15° = cos 75° =. Lượng giác. Trigonometry.9659 (approx) To find the value of sin 15 degrees using the unit circle: Rotate 'r' anticlockwise to form a 15° angle with the positive x-axis. Now we got, from (2) sin 15° – cos 15°= -√(1 – sin 30°) … (4) Adding eq. Now, sin75∘ sin15∘ = sin75∘ cos(90∘ −15∘) = sin75∘ cos75∘, = tan75∘ = tan(45∘ + 30∘), = tan45∘ +tan30∘ 1 − tan45∘tan30∘, = 1 + 1 √3 1 − 1 √3. Here is an example of using a sum identity: Find #sin15^@#. Cite. Also there can be many ways to find out the values.2588 (approx) sin 15° sin 75° = sin 75° sin 15° = sin (90° - 15°).0=)09(nis 287783. sin 15 degrees = (√6-√2)/4. = 1/4 √6 + 1/4 √2. Step 6. x→−3lim x2 + 2x − 3x2 − 9. Find the Exact Value sin(75)cos(15) Step 1. #sin(A-B)=sinAcosB-cosAsinB# We might notice that #75-60=15# so #sin15^@=sin(75^@-60^@)=sin75^@cos60^@-cos75^@sin60^@#. For example, with a few substitutions, we can derive the sum-to-product identity for sine. Lets explore few ways Value of sin 15 degrees Method 1 ( using sin 30) Solution Find the value of given trigonometric ratio. O A. Click here:point_up_2:to get an answer to your question :writing_hand:12 what is value of expression 2 left sin 15 circ. Nyatakan sebagai jumlah atau selisih kosinus, dan sederha As we know, ⇒ cos (A - B) = cos A cos B + sin A sin B ⇒ sin 15° sin 75° + cos 75° cos 15° ⇒ cos 75° cos 15° + sin 15&d. Step 3. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. Split into two angles where the values of the six trigonometric functions are known. We will substitute the values of √3 and √2 in the above fraction. I want this answer: SINE TABLE : sin(0)=0. Step 3.sin30) + (sin45. More. Time Tables 20. 20 Ques. Nilai eksak dari adalah . = 0. Trigonometry . Jika anda membutuhkan rumus-rumus singkatnya, anda bisa Consider a equilateral triangle bisected: From this we see: #cos 60^@ = "adjacent"/"hypotenuse" = 1/2# #sin 30^@ = "opposite"/"hypotenuse" = 1/2# Find the Exact Value sin(15)cos(15) Step 1. Given: Expression = sin75° + cos15° Concepts used: sin (A + B) = sinA cosB + cosA sinB Calculation: ⇒ sin75° + cos15° = sin75° +. Serial order wise. We will begin with the sum and difference formulas for cosine, so that we can find the cosine of a given angle if we can break it up into the sum or difference of two of the special angles. Cancel the common factor of 1 sin 15° cos 75° + cos 15 ° sin 75 ° =sin(15°+75°)=sin(90)=1.224744871 Quiz Trigonometry sin(75)+sin(15) Share Copy Examples Quadratic equation x2 − 4x − 5 = 0 Trigonometry 4sinθcosθ = 2sinθ Linear equation y = 3x + 4 Arithmetic 699 ∗533 Matrix To find the value of sin 75 degrees using the unit circle: Rotate 'r' anticlockwise to form a 75° angle with the positive x-axis. Understand methods to find the value of sin 15 degrees with examples and FAQs. Step 1. sin(30)cos(45)+cos(30)sin(45) sin ( 30) cos ( 45) + cos ( 30) sin ( 45) The exact value of sin(30) sin ( 30) is 1 2 1 2. 입니다. Tap for more steps 0. Simplify (sin 75^(@)-sin 15^(@))/(cos 75^(@)+cos 15^(@)) 03:25.) Not the exact question you're looking for? Post any question and get expert help quickly. 10 asked Jun 4, 2021 in Trigonometry by Daakshya01 ( 30. $$ Then I got $$ (\sqrt{3}-2) \sin(15^°) = \cos(15^°). sin(30)cos(45)+cos(30)sin(45) sin ( 30) cos ( 45) + cos ( 30) sin ( 45) The exact value of sin(30) sin ( 30) is 1 2 1 2. Prove the identity. These ratios are Sine, cosine, and tangent in trigonometry. cos B - sinA . ∴ sin 15° = (√3−1)/2√2. Dalam trigonometri, sin 75 dan sin 15 adalah nilai sinus dari sudut 75 derajat dan 15 derajat.= °57 nis = °51 soc . Given trigonometric ratio: sin 75 ∘. Formula used : (i) cos(A + B) = cos A cos B - sin A sin B. O A cos 75° cos 15º - sin 75° sin 15º = cos (75° -15°) cos 60° B.000000 sin(15)=0. sin 15°.