For Exercises, 21-34, verify the identity. (See Example 2) sin20 22. sin40 sin20 1 = -sec 20 2 23. cos“x – sin*x 21. 1- cos 20 = cot 0 = cos2r 24. (sinx – cosx)² = 1 – sin 2x cos 3x 25. sin 2x 1 = -cscx - sin3x 26. sin 2x 1 2cos.x 2 sinx secx 2 tanx 27. sin 2A – tanA = tanA cos 2A 28. tan 2A – tanA = tanA sec 2A 29. 2 - sec'x tan 2x cos 2x 31. sinx sin2x sin 2x 32. sinx cos 2x 30. cotx - tanx = 2cot 2x 4 sinx cscx secx cosx cosx 33. sin40 = 4cos'esine – 4sin' Ocos e 34. cos40 = sin e – 6sin ecos e + cos e

Q: 58, Using the reduction formula, we have sin"xdx = 1 sin 57 58 57 xcosx- | sin36xdx O A 58 1…

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Q: Find the expression , identical go Cat (9x) the given a. sin 46x) - sinx Cos x - sin(16x) b. cos…

A: Expression of cot(9x) : See all the options And use the trigonometric formula .

Q: Verify the identity. (7 cos x-4 sin x)2 + (4 cosx+7 sin x)2 = 65

A: Given,           7cosx-4sinx2+4cosx+7sinx2=65

Q: Verify the identity. 6 cos2(x) – 3 = 3 – 6 sin?(x) - (| ([ 6 cos?(x) – 3 = 6(1 3 - 3 = 6 – = 3 - 6…

A: Given: 6cos2x-3=3-6sin2x We have to verify the given identity. Formula used: sin2x+cos2x=1

Q: Given that the sin x = 2/5 and cos x = -1/4 with sin x in Q1 and cos x in Q3, find sin( sin x - cos…

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Q: To begin evaluating S sin*(x) · cos³(x)dx, express a. sin*x to (sin²x)²and use the identity sin²x…

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Q: From the list below find the expression, identical to the given. tan 4x sin 8x + sin 3x cos 3x + cos…

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Q: For Exercises 7–14, verify the identity. sinxtan?x – sinxr 7. cosxtanx + cosx tanx(tan.x – 1) 3…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: For Exercises 12–17, find the exact value. 12. sin250° cos10° – cos 250°sin10° 13. tan- 12 14. cos…

A: sin250°cos10° - cos250°sin10° tanπ12 cosarctan3 + arcsin45 cos105° sin17π24sinπ24 sin555° + sin105°

Q: Prove the following Trig Identities. 2 2 a. sin x + cos²x + tan²x = sinx−1 -cos²x b. sinx+1 (sinx+1)…

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Q: 2) VERIFY THE IDENTITY sin +0 =-cos 0. 2.

A: We need to verify the identity.

Q: In Exercises 17-26, use an addition or subtraction formula to find the exact value. 17. sin- 12 18.…

A: Given 1)sin(7π12) 2) cos(105)We need to find the value using addition or subtraction formula

Q: The suitable substitution to evaluate / sin²4(x +2) dx is (1- cos8(r + 2)] [1+cos8(x+2)] None 1 [1-…

A: We have to find the suitable substitution to evaluate the following integral -  ∫sin24(x+2) dx

Q: Verify the following results  sin 4x = 8 cos3 x sin x − 4 cos x sin x

A: Given questions are two individual questions. So as per bartleby expert policy only one individual…

Q: Verify the identity: cos(3x) cos(x)(1 – 4 sin? (x))

A: we have to verify the given identity. the solution is following

Q: 1 Use identities to verify that 1 simplifies to one of the following functions. 1+ sin x 1- sin x…

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Q: tan 6= .and 0s@s90 , then sin 0- O V3 2. V5

A: Solve for sin theta

Q: To evaluate sin*2x cos 2x dx , the identities to be used is/are: 1+ cos4x A sin4x & 2 2 B cos²2x= 1-…

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Q: Evaluate sin 0 within AABC. 7 B 25 24 A sin 0 Enter your next step here

A: A triangle is a polygon with three sides. A right triangle is a triangle with one of its angle being…

Q: Verify the identity. 2 sin(x) cos(x) = 1 (sin(x) + cos(x))2 - 1

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Q: Another form of sec x dx cos x 1- sin²x b. Use the identity in part (a) to verify that 1. |1 + sin…

A: a) we have to verify the identity sec(x)=cos(x)1-sin2(x)Consider, RHS=cos(x)1-sin2(x)we…

Q: For Exercises 47-52, verify that the equation is an identity. (See Example 6) sine cos 0 47. csc 0 -…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: Verify the identity. 1 + sin 2x cos x+ sin x %3D cos 2x cos x- sin x Choose the sequence of steps…

A: Sin2x correct formula is- Sin2x=2SinxCosx So this formula is only used in option 2

Q: Write the expression as one involving only sin 0 and cos 0. sin 20 - cos 0 Choose the correct answer…

A: Given sin2θ-cosθ

Q: Q2/Prove that cos 17° + sin17° = tan62° cos17° - sin17°

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Q: 2s0ue by usiny Netons method opprozimete 14 sinx+ cosX 1+ sinx- coSX Xis 2.5

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Q: Verify the identity. 6 cos(sin-1 x) = / 36 – 36x2 Let 0 = sin-1 x = sin 0 = x = X. Thus, 6 cos(sin-1…

A: use trigonometric identity  to verify it.

Q: Assuming that |a| < 1, find the value of cosh ax dr. cosh x

A: It is given that,a&lt;1, we have to find the value of              ∫0∞coshaxcoshxdx

Q: Prove ONE of the follow sin x+ cos 2x-1 tan x %3D a) cos x-sin 2x

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Q: Using the result of the previous question, explain why 1 n sin" xdx = - sin"-2 xdx. n and hence show…

A: The given problem is to show the result of given integral with using the given integral result.

Q: cos    1 2 arccos x

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Q: 4 sin“ x = 1 – 2 cos 2.x + cos² 2.x

A: 4sin4x=(2sin2x)2 Using cosine double angle formula which is cos 2x=1-2sin2x1-cos 2x=2sin2x…

Q: Find the values in Exercises 9–11. 9. sin(cos-1(sqrt(2)/2)) 10. sec(cos-1( 1/2)). 11. tan(sin-1(-1/…

A: Find the value of

Q: Prove the below cos' x sin 3x + sin' x cos 3x 3 sin 4x 4 II

A: Simplification of trigonometry function

Q: 3) The following statements are false. Explain why. a) sin(sin-1(2)) = 2 b) os-'(cos(2n)) = 2n

A: Please refer the attached image for complete solution.

Q: Find x so that sin 3x + 10 cos x+ %3D

A: Here we have to find the value of x. The solution is following.

Q: 3. What is (Sin (6x)}? 4. What is (Cos (x²) dv 5. What is (tan x³) dx 6. What is (In x)7

A: we use the chain rule to find the derivative of the given function

Q: Verify the identity.   sin4 t−cos4 t=1−2cos2 t

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Q: O https docs.google.. 48 Evaluate D(3 sin x+4cos 4x). A. 3 cosx-4 sin 4x B. 3cosx-16 sin 4x C. -3…

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Q: To evaluate sin 2x cos 2xdx conveniently, the formula/ identity to be used islare A sin²2x =1– cos2x…

A: We need to choose correct option.

Q: Let sin A = 3/5 with A   cos  2 A

A: Given Sin A=35Formula for compound angle Cos2A=1-2Sin2ATo computeCos2A…

Q: Which is equal to (sin⁡x+cos⁡x)^2+(sin⁡x−cos⁡x)^2 using identities?   −2   1   2   −1

A: We have to find

Q: How do you evaluate ∫ sinmx cosnx dx if m is odd? What if nis odd? What if m and n are both even?

A: If n is odd use substitution with u=sin x, du=cos xdx and convert the remaining factors of…

Q: To evaluate sin42x cos 2x dx , the identities to be used is/are: sin4x, 1+ cos4x &- 2 (А) (B) cos?2x…

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Q: Recall that sin2 0 means (sin 0)². find sin2 0. If sin 0 = sin< 0 =

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Q: tx)+ Sin(꼴-)- -26S X %3D Prove sin

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Q: To evaluate sin 2x cos 2xdx conveniently, the formula/ identity to be used islare A None 1- cos4x…

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Q: To evaluate | sin42x cos 2xdx conveniently, the formula/identity to be used islare A sin²2x=1–…

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Q: prove it 6. *cos 4x = 1 - 8 sin?x + 8 sintx

A: Prove : cos 4x = 1 - 8 sin2x + 8 sin4x

Q: To evaluate sin 2x cos 2x dx , the identities to be used is/are: sin4x , 1+ cos4x A 2 2 ® cos?2x=1-…

A: To find The identities to be used.