I. True or False. Write TRUE if the given statement is correct and False if otherwise. Write your answers on the provided answer sheets. 1. sin(u + v) = sin u + sin v 2. sin 2x # 2 sin x sin x 3. sin- 4. sin? x = (sin x)² 1-COs x 5. tan = + 1+cos x

Q: 1 is (s+2)? +32 O a. e-21 sin3t O b. e21 sin3t O c. e21 sin3t O d. e 21 sin3t

A: Since you have asked multiple questions, we will answer the first one. If you want other questions…

Q: 2. One of (a)-(c) is incorrect. Find and correct the mistake. (a) - sin(y³) = 2y cos(y?) (b) dx…

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Q: 2. Express each expression in a simpler form. a) cos 0 sec e b) tan 0 cos 0 c) tan 0 + cot 0 d) VI –…

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Q: 8. 4 sin(at +b), where a and b are constants.

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Q: Find the exact value of the expression. sin 4 12 sin 4 12 CoS Cos 1 O A. 4 V3 О в. 1 О с. 2 O D. 1

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Q: S =m sin(3x)cos(5x)sin(7x) dx: (sin(5x)sin(9x) +sin(x)- 15 sin(15x) +C (लड 4 Select one: True False

A: Let's find.

Q: v(x) = 4 cos(sin(3.x)) Select the correct response: -12 cos(3x) sin(sin(3 o -12 sin(3x) cos (3.x) o…

A: Using the chain  rule to calculate the derivative of the function.

Q: Find sin x/2, cos x/2, and tan x/2from the given information. tan(x) = 2√2,   0° < x < 90°   sin…

A: Given Data The trigonometry function is tan(x)= 2√2. Then the interval is 0°&lt;x&lt;90°.   Solve…

Q: 2+7 sin z 3. dz cos? z

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2 Given tan 0 = -and sin 0 > 0, find cos 0. %3D Cos 0 _ 3/13 13 О А. O B. cos O 0 = 3/13 COS %3D 13…

A: The given data is: tan θ= -23  and  sin θ&gt; 0

Q: (b) Compute sin 20. Hint: sin 20 = sin(e + 0)

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Q: 15. Given that sin(1.4) = 0.99, determine the value of sin(2T +1.4). 2n 0.99 O 0.99 27 + 0.99 O…

A: Given : sin(1.4) = 0.99  sin(2π+1.4) = ?

Q: /2 S cos (x) sin (æ) da = COS 0. 6. 15 15 O None O 15 2 45 2

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Q: What is the correct set up to solve for x? 18 50° Your answer: 18 o cos(50) = %3D 18 o sin(50) = %3D…

A: Given:     θ = 50°     Opposite side = 18      Hyp side = x

Q: What is the value of 1/2 x(3 cos(x) + sin(x))dx ? -7/2 Give your answer as an integer or as a…

A: Topic:- integration

Q: 10. Given 2 <x < 2n, which of the following is/are negative? A. sin C. sin and cos 2 B. csc5 D. cos…

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Q: 22 r = 7 sin 0 + 50 cos O

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Q: Using an appropriate substitution, f sin³ (x)cos®(x)dx is equal to: sinx + C sin13x + C 13 sin11x…

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Q: Show that (1 – e") = 2 sin ( - a eil(a-r)/2]

A: To show 1-ejα=2 sinα2ejα-π2 , simplify left hand side expression and show equivalent to right hand…

Q: Compute / sin? æ dæ. sin 2x + C 4 sin a +C 3 cos 2x + C 4 2 sin 2x + C 4 cos 2x + C 4 2

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Q: 7. Find the exact value of each of the following under given conditions: 2/5 3 sin(a) for 0 < a <…

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Q: Answer: The approximate value of sin 29° is O sin 29° s 1( 29x 2 180 6)+ O sin 29° V3 ( 29x O sin…

A: Please see the explanation below

Q: 18. Assume that sin(x) + cos(x) = 1/4. .3 What is the value of sin (x) + cos°(x)? O 5/26 11/32 O…

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Q: Find the exact values of sin and cos for sin e= on the interval 0° s es 90°. 2 sin 0.1691, cos…

A: We know that,  cosθ=1-sin2θ         cosθ&gt;0 in 0°≤θ≤90°        ⋯⋯1sinθ2=1-cosθ2…

Q: 22. If y = (1- sin?x)i then y" is b. 1 COS X 2° а. C. - cos x d. -sin x sin x HIN HIN

A: The second derivative of the given function is solved in detail below.

Q: 8. If 90°sin y II. COS X >cos y III. tan x<tan y

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Q: Find at least one solution to the following equation: sin(x^2 − 1) / (1 − sin(x^2 − 1) )= sin(x) +…

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Q: 4. sin M= 20 16 30 5. tan L = 6. cos Z = 16

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Q: 12. Which is not a solution to the equation sin x = cos x-1? %3D A. x = 1 B. x == C. x = 3n 13.…

A: We will find the correct options for each question as following.

Q: 4. Substitute the given information. 5. Solve the problem. opp a. tan A = adj b. hyp= c. 6 cm d. sin…

A: We have to find the side

Q: d/dx (sin^3 x) = d/dx (sinx sinx sinx) = ? which one is the right answer? Answers: 1. cos x sin^2x…

A: Using derivative of composite function

Q: 137 What is the exact value of cos () 12 Võ+v2 4 4 4. 2

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Q: 11. Which is a conditional equation? A. sin x cos x = 1 C. sin? x + cos² x = 1 %3D B. Vsin? x + cos?…

A: As per our guidelines we are supposed to answer only one question

Q: S cos(3z)sin1º(3z) dz A 1 (sin(3z))10 + C 3 C 1 (cos (3z))10 + C 3 -- 1 D 1 (cos (3z))'1 + C 33…

A:

Q: 16. If sin O - cos O = 1 / 3, determine the value of sin O cos O. A. 5 / 4 B. 5 / 9 С.4/9 D. 4 / 5

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 4. Which of the following statements are true? I. The range of y = sin -1 x is [0, 7]. II. The range…

A: We need to check which of the following statements are true

Q: b. Given that z = el®, show that z" += 2 cos ne. Hence, show that cos 50 = 16 sint 0 – 112 sin² 0 +…

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Q: 8. Which answer is equivalent to sin t+ cos tcot t? (a) cos t (b) tan t (d) sec t (c) cot t cos B…

A: Please see the answer below.

Q: Prove the identity: cos(x + y)cos(x – y) = cos?x – sin²y

A: Given,          cosx+ycosx-y=cos2x-sin2y

Q: Evaluate / 7 cos(x) dx = sin(x)+1 049 In(sin(x) + 1) + C Oln(sin(x) + 1) +C 07 In(sin(x) + 1) + C 07…

A: Answer

Q: 17. If 2 tana tan?ß tan?y + tan a tan-ß + tan B tany + tan?a tan?y 1 (a. B.y e R. a. B.y (2x+1)…

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Q: 11. x² - y? = 7 12. x sin y - y sin x = 0 13. x cos y +y cos x = 0

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Q: 7. The value of sin(1¹/3) dt 12/3 S

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Q: Find sin 2x, cos 2x, and tan 2x if sinx= and x terminates in guadrant III. V13

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Q: Solve the equa tion on the interval [ o, 2 ) 2 sin? 9-3 sin O +1 =0 tan2x-1 =0 (2 cos x +JE) (2 sin…

A: As per bartleby guidelines we only give first three question answers.

Q: 1. If x-y? = 25, then y" = %3D a.) b.) c.) - d.) - 2. If y = cos(3x+1), find y' a.) 3 sin(3x+1) b.)…

A: Given:   (1) x2 - y2 = 25    (2) y = cos(3x+1)

Q: sin 5x sin adx =? O A, sin 4x sin 6x +c 6 4 sin 4x sin 6x OB. 8. +c 12 O C cos 4x 8 cos 6z +c 12 O D…

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Q: +1+C ,c.÷+ Q1: Choose the correct answer of the following 1. [ sin x dx is a. cos x+ C, b. -cos x +…

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Q: Compute the indicated sin α = 15 17 cos B = cos = (a) (b) - 4 5 quantity using the following data.…

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Q: 5. Which of the following is the solution to the equation below? 2 sin? æ – 1 = 0 x = 45 + 360k, x =…

A: Solve the following