a) S sin? x cos5 x dx

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A: To evaluate : ∫-π2π2 sin3x cos4x dx

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A: Given, The integral is,

Q: 04.) Show that y= (sin x +cos x) sec x = see? x

A: Use the trigonometric identities and simplify to prove the given expression. Also check for a value…

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A: Explanation of the solution is given below..

Q: 5. Find the values of a and b such that dx tan 1 + sinx a + b . %3D

A: We need to integrate ∫11+sinxdx

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A:

Q: S sin? x dx

A: ∫sin2xdxUse the identitysin2x=1-cos(2x)2∫sin2xdx=∫1-cos(2x)2dx                 =12(∫1dx-∫cos(2x)dx)

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A: In the question we have to find the angle of cosine which is lying in third quadrant as cosine is…

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A:

Q: Evaluate S cos ve Vē sin? ve

A: consider I=∫cosθθ sin2θdθto solve the itegral we can use method ofsubstitution

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A:

Q: What values of x, within the in s 2x + 10 sin x - 7= 0?

A:

Q: 20. sin? x cos? x dx

A:

Q: B) Express the given quantity in terms of sin x and cos x sin (플-x)

A:

Q: Evaluate: * cos² 2. * x cos? x dx sin

A: Given: ∫cos2xsin4xdx

Q: | cos ?x sin'x dx can be evaluated by factoring sin'x as (sin²x) ²sinx and transf sin²x into 1-…

A:

Q: 4. Describe a way of evaluating x cos? x dx. sin' х. х со

A: We will use the reduction formula,  to solve this integral. where n ≥  is an integer. Now., we…

Q: Q/ ind dy if 24-sini' (xe!)=sin'(x*)+ cos (x")

A: Given that      2y - sin-1(x2+1) = sin2(x4) + cos2(x4) Here we have to find dy/dx.

Q: Solve for y cos>x + jsinycosy - sin?x = 0.866 + jo.5 (А) 15° В) 45° (© 15°, 195° D 45°, 225°

A: Using the properties of the trigonometric functions, it can be written that:…

Q: Given that sin“ x + cos²x = 1 V2 and sin x = 5 what is the possible value of cos x

A:

Q: 6). S sin 20 cos 50 de

A:

Q: Evaluate va 3 cos a sin x dx. + C

A: To find: The value of integral ∫cosxsin3xdx. Formula used: The trigonometric relation is…

Q: 19. Solve for x:x = (tan e + cote)² sin?e - tan?

A: Given that: x=(tanθ+cotθ)2sin2θ-tan2θ

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A: Given,         ∫π2πsin5xcos3xdx

Q: evaluate the integral.

A:

Q: If sin t 3 and t is in the 2nd quadrant, then 5 i) tant = ii) sec t

A:

Q: Evaluate o (3 sin x – 5 cos x) dx.

A:

Q: f(?) = (? − cos(?)) sin(?)

A:

Q: 1. cos x |? ecosx sin xdx

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

Q: 13. et sin t, et cos t

A:

Q: Evaluate 3 cos z sin" e dz.

A:

Q: 5. [ sinxcos^xdx

A: Use necessary identities.

Q: ( esch(3 tan z) + sin². 1. cos? r

A:

Q: dx = ? 4 sin x – 3 cos x+5

A:

Q: Find y' for y=3 sin?x+3 cosx. A O .BO 5 .CO sinx .D O cos x

A: using formula for first derivative of trignometric function

Q: cot a In(sin r) dr "/2

A: We know that integration of xn is xn+1/n+1. We know that : cosx/sinx= cotx.   Here i attached…

Q: tinuous, prove that T/2 T/2 f(cos x) dx = f(sin x) dx (b) Use part (a) to evaluate /2 cos?x dx and…

A:

Q: 5. Evaluate 1. , sin(x?) dx

A: #1 intregal

Q: fan? 2 3 sin n x cos xdx

A:

Q: find dp/ dq. sin q + cos q = cos q

A:

Q: 1. Evaluate: sin (x) cos? (x) dx.

A:

Q: 27 sin x cot xcosx dx = ? ^.cosx

A:

Q: b. sin? () = 2 over [0, 2n) %3D

A: EXPLANATION

Q: Show that 7 sin? xdx L? cos? ædr I|

A:

Q: Is this: sin x cos y- cos x sin y/ cos x sin y reciprocal quotient pythagoreom  algebra

A:

Q: 0. sin*(x) dx = R, 3 -Tt, what is 8. Given that sin (0) de?

A:

Q: S sin? x dx Evaluate 1+cos x

A: ∫sin2x1+cosxdx

Q: 13) sin z cos r dr

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