If e = then sin(0) = cos(8) =

Q: √zez dz

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Q: dx of SC 1+ cos X

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Q: express sin 0 and cos 0 in terms of t. 2 6. By using t = tan Hence,

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

Q: tan(e-2*) In(cos(e-2*)) dx e 2x

A:

Q: If y=a cos(sinx)+b sin (sin x) then y"+(tan x)y'+cos2x=0

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Q: 9. Sin 2X dx COS 2X

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Q: If j(x) = e(sin(x)+cos(x))² , then j'(x) = 2 cos(2x)el+sin(2«) COS

A: Given

Q: 28. Cos xdx

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

Q: 9. [cos° { xsin’ } xdx

A: The objective of the question is evaluate the indefinite integral.

Q: 15 cos(x) + 4 sec (x)dx

A: 1) I=∫15 cosx+4 sec2xdx =15∫cosx dx+4∫sec2x dx =15 sinx+4 tanx+c   (c- constant if integration)

Q: Pre cal How do I evaluate?

A: Given expression

Q: If cos x is replaced by 1-²/2 and [x] < 0.5, what estimate can be made of the error? Does 1-²/2 tend…

A: The Maclaurin series of cos x can be defined as: cos x=1-x22+x424-x6720+…. The inequality: y&lt;k is…

Q: If cos(0) 1 and 0 satisfies T < 0 < , find sin(0). 2 - sin(0) = %3D

A: Given: cos θ=-16 &amp; π&lt; θ&lt;3π2 To determine: sin θ

Q: establish each identity.

A: Given  The identity is ln sec θ=-ln cos θ

Q: If e 17/2- 2i =sin2 then z = %3D - 2i In(sin2) + 4kn -2 In(sin2) + 4kT - 2i In(sin2) – 4kn 2i…

A: Concept : eiθ =cos(θ)+i sin(θ)                  if θ=2kπ                    ei2kπ =cos(2kπ)+i…

Q: if g- Sin (cos 8x) Find y NP

A:

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

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Q: Evaluete " 2X Cos(sin --

A: Use the inverse trigonometric identities and simplify.

Q: | 2* (In(4.x))? dr -2х e cos 3x dx

A:

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

A: Given integral is ∫ecsc2θlnecos2θsin22θdθ since lnex=x, so lnecos2θ=cos2θ The integral becomes…

Q: a) |(4 cos x+2cos x– 1)dx

A: we know the following identities   ∫cos(x)=sinx

Q: 5. The function f(0) = (sin O+cos 0) + (sin 0– cos 0) may be written as

A:

Q: IFS(x) = - sin(x), then S ® (1) is equal to - sin(x) B) - cos(x) sin(x) O cos(x)

A: We have to solve

Q: If y=-cos x, what is x-value between pi and 2 pi corresponding to y-value of 1/2

A: Let's solve  for x value.

Q: for 0 (0° < 0 < 2n) in the equation 2sin e cos e - sin e - 2cos 0 + 1 = 0.

A: Given that, 2sinθcosθ-sinθ-2cosθ+1=0. We know that, sinθ=sinα⇒θ=nπ+-1n+α       α∈-π2,-π2…

Q: Problem 5 Evaluate the definite integral.  ∫sin^2(6x)cos^2(6x)dx=__________________  (upper limit=7,…

A: Evaluate the integral

Q: For | cos 3x cos 4x dx :

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Q: 5. (1+ cos 3x ) dx

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Q: 5) (x3 cos 9x dx

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Q: Suppose y=sin x, what is x-value between 2pi and 4 pi corresponding to y-value of -1

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Q: 4. If (sin2x + cos2x)dx =, sin(2x – c) + a, find the values of a and c.

A: Introduction :

Q: 22 Evaluate s cos (Iz)e dz

A: Formulae used: ddxcosx=-sinxddxsinx=cosx∫eaxdx=eaxa∫cosxdx=sinx+C By party integration formula…

Q: Why is I cos 0 |never greater than 1 in the first place?

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Q: 4. Prove that the identity is true. 1- cost e = sin² 0 1+ cos e

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Q: 4 cos* 3xdx

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Q: Evaluate: [e* 1+ sin 2x dx 1+ cos 2x

A: Topic:- Integration

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

A:

Q: Solve the following equation on th e interval [0, 27]. cos x + 2 cos x+ 1 = 0

A: Given : cos2x+2cosx+1 = 0

Q: 10. 4 COS dx 2

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

Q: If siny=x^2 Then find the value of cos2y

A:

Q: 9. Evaluate ſ,(cos x – 1) dx. Tt/2 - π/2

A: topic - definite integral

Q: 1) fcoe cos x sin rdr

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Q: If y=a cos ( sin x) +b sin (sin x :) then y" + (tan x )y'+ cos'x = 0.

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Q: 2 Arc cos (1- y=

A: Given,   y=2arccos1-x2+4x-x2.   It is differentiated as follows:…

Q: If csc 0 = 2, calculate an e sec () sin² 0 exactly.

A: We use cosec x=1/sinx and tanx=sinx/cosx,secx=1/cosx. See 2nd step.