e csc 20 In (ecos 2 ) Ince cos CoS 20 28) Sin2 20 OP

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A: Inverse trigonometric function are the inverse function of specially sine ,tangent, secant,…

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A: Solved below.

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Q: (sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5…

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

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A: Sin(A+B)=sinAcosB+sinBcosA

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A: Answer

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A: Given: ∫2+7sin3zcos2zdz

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A: I have stated the used formula in the solution

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A: To show that i) x2-y2=cos2θ+2cos3θ+cos4θii) 2xy=sin2θ+2sin3θ+sin4θ

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A: If θ=19π6We have to find sin(θ),cos(θ)

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A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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A: we have to find

Q: Evaluate: e* cos (7e*) cos (4e*) dx - sin (3e*) + –sin (11e*)+C A 22 B - sin (3e*) – –sin (11e*) +C…

A: Evaluation of the Integral

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

A:

Q: Find if r = sin[cos(-0)]. de dr = sin 0 cos(cos 0) de dr cos[sin(-0)] de Option 3 Option 1 dr dr sin…

A: This question is based on application of Derivative.

Q: er +6 近 。 Oe) sin(2a) Od) cos(2x) T SOƆ 7 5 Ob cos(x²) + 2x (,r)so) (e O ap UIS .2 hip If y =…

A: Topic :- Derivative Correct option = C

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Q: 25. y = 2 cos yA 2 28. y = 2 sin ) -2TT -2 31. y = 3 sin (2x) (A)

A: In this, the amplitude is multiplied by 2 and x is scaled by 1/2.

Q: Je* cos (7e*) cos (4e*)dx Evaluate: @ --co (3e*) -cos (11e') + C (3e*) – -cos (11e*) +c A 6. 22 ®…

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Q: Evaluate: Je* cos (7e*)cos (4e*) dx ® -co (3*) -cos (11e') + C -(-*)* sin (3e“) –sin (11e*) +c A 22…

A: The given integral,       ∫excos7excos4exdx

Q: Evaluate the integrals

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: We have to prove given integral

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A: We have to find area between the polar curve.

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A: To find out the integration.

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A:

Q: cos x cot x COs X = 0

A: cos x cot x - cos x = 0 cos x (1-cot x) = 0 x ∈ [-π, 0)

Q: 22: Evaluate Sea s cos²(y s) ds.

A: Solution:-

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A: Given: cos3y+sin2x=2x+3y To find dydx in the given equation.

Q: If fex) cos cmx) dx = and %3D fox) E Coscn'x) then %3D COS n3 +! KIN

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Q: 10. 4 COS dx 2

A: the given integral is: ∫cos4x2dx we have to evaluate the given integral.

Q: sec 0 + In + 27+3 = -3 2 In y? + 327 – 4 = 1+ cos 20 2/1+ (tan 0)² + 2ln /y + 22 = -3

A:

Q: e* cos (7e*) cos (4e*) dx Evaluate: --cos (3e*) -cos (11e*) + C (A 22 B 6 (3e*) +cos (11e") +c cos…

A:

Q: 23, sin 50° + sin 40° 23. sin A VZ cos 5° B 2 cos 10° 2 cos 5° D V2 cos 10°

A: Trigonometric identity: sin x+sin y=2sinx+y2cosx-y2

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A: SOLUTION Given ∫dθ2 -sinθ∫cosθ dθ1+cosθ∫dθ2-3sinθ∫d θ3 sinθ+4 cosθ+5∫d θsinθ +3 cosθ+3 we need to…

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A: This is a problem of integration. Based on the general formula of integration we will solve the…

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Q: O cos y (cos x + 1)

A:

Q: dx O 32 cos 35 스) -Scos ()+7] + c O 32 cos ()- -cos+c O 32 7 32 CO 5 32 cos 35 (즐) 5sin)+21+C

A: A detailed solution is given below