e-5t cos 2t+ e4t -1} =

Q: Sinxtsina3x COSX+ COS 32 tan 22

A:

Q: Find sec42x -dx tan 2x A --—-—-cot²2x-—-—-cot³21+ C 16 cot82x) (4sec22x-1) B -(cort2x) 4 12 11 1 C)…

A:

Q: 2 cos^2 x-sin x -1=0

A: 2cos2x-sinx-1=0⇒1-sinx-2sin2x=0⇒sinx=-1, sinx=12⇒x=3π2+2πn, x=π6+2πn, x=5π6+2πn

Q: Cos20=2Cos 0-1

A: Part 1,Given,            cos2θ=2cos2θ-1

Q: which of the following expressions is equivalent to: 3cot^2(t)/csc(t)   a. 3-3cos^2(t)/cos(t) b.…

A: This question is related to trignometry, We will solve it using trignometric identities.

Q: If /n= ( 5x + 9 )" sinx dx , Then I,+25n(n-1) In-2=. Select one: O - ( 5x + 9 )" cosx + 5n ( 5x + 9…

A:

Q: csc(sec-1 2) + cos(tan-(-v3).

A: Given data:     The expression for the given function is: csc(sec-12)+cos(tan-1(-31⁄2).   The given…

Q: x+(1/x)=2 cos theta , then show that x2+(1/x2 )=2 cos2 theta

A:

Q: Įsin x cos^(3/2) x dx * O -2/5 cos^(5/2) x + C O None of the choices -5/2 cos^(5/2) x + C O -2…

A:

Q: If z = 2 ( cos 2¥/3 + isin 2¥/3 ), then z^3=   i. 2 - i8√3 ii. -4 + i4√3 iii.-8-i√2 iv. -8 - i4

A: Using de-moivre's formula :

Q: (1+cos3x)² -dx sin23x

A:

Q: 2dx 2 2 cos x√ 4tanx - tan x S-

A:

Q: Express sin6 Oin terms of powers of sin Oonly

A: We have given,  sin6θ we have to express it in the term of sin only.

Q: sinxtanx/cosx+1

A:

Q: /2 sin aVT-2 cos r dr /3

A: To find the given integration

Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

Q: +COSO |-COSO %3D 1+COS O

A:

Q: 2* cos 3r dr +4 8.

A:

Q: Solve x 2x 2x 2π cos - ( 2² -1) + sin ~¹ ( 24₁ ) + tan - ( ²²₁ ) = ² COS 2 +1 x +1 3 -

A:

Q: d 5s- Cos-3 s(s*- 1st1)

A: We use partial fraction method to decompose given function of s and then use inverse Laplace…

Q: 4sinx •cotx / cos2x + 1

A: You know:

Q: 는(csc-1(324)) = d SC dx

A:

Q: cscx−sinx cos²x CSC X =

A: We need to prove that cscx-sinxcscx=cos2x

Q: +2 y = 3e" cos 2x -2

A: Solution

Q: Consider the following complex function. с. f (z) = e? i. Write down the McLaurin series expansion…

A: McLaurin series expansion of a function f(z) is the Taylor's series expansion of the function f(z)…

Q: 1+cos4x 1. 1-cos4x -csc2xdx

A:

Q: Evaluate * | (0² + 1) cos 0 d0. e2sine + 20cose – sine + c 02sine – 20cos0 – sine + c Option 1…

A:

Q: (cos7x-cos5x)/(cos7+cos5x)=tan6xtanx

A:

Q: f(x)=2cos^2 x-1 , 1-2sin^2 x , cos^2 x-sin^2 x and cos2x Make a comparison of the four expressions

A:

Q: Solve the らinx + (Co SK)y = tanx

A: To solve the given differential equation.

Q: 3t CoS cos ut}

A:

Q: first derivation cos^3 (3x)

A: differentiate the function using chain rule.

Q: Factor  Cos^4 x + 2 cos^2x + 1

A: