Prove the identity. secx (1-sin'x) = cannot b cosx %3D

Q: Integrate  cos(8x) . sin^2 (8x)

A:

Q: 1+cos2x 3. cotx sin 2x

A:

Q: cos 2x +1 sin 2x Prove that Please show proper steps sin 2x 1- cos 2x

A:

Q: Find the value of x  sin2x=sin600cos300-cos600sin300

A: Given,           sin2x=sin60°cos30°-cos60°sin30°

Q: prove the identity cos^3x sin^3x =(sin^3x-sin^5x)cosx

A:

Q: Verify the identity: (cos 3x - cos 5x)/(sin 3x + sin 5x) = tan x.

A:

Q: Verify the identity. sin 0-1 tan 0- sec 0 %3D cos e

A: Here we use basic identities of trigonometric ratios.

Q: Verify the identity: (cos 4x - cos 2x)/(sin 2x - sin 4x) = tan 3x

A:

Q: Prove sin 2x cot x (1 - cos 2x)

A:

Q: (1+cos3x)² -dx sin23x

A:

Q: Prove the identity (sin x - cos x)2 = 1 - sin 2x

A:

Q: Prove: sin (2 cosx) = 2x1-x

A:

Q: Verify the identity sinh x + cosh x = ex

A: To prove the identity

Q: Verify the identity. cos x = sin x sin 2x + cos x cos 2x

A: we have to verify the identity

Q: find x in degrees Sin x=0,8766 tanx= 3.7834

A: Given that sinx=0.8766 and tanx=3.7834 To find x in degrees

Q: Show that Cosx dx 9- Sin 3D

A:

Q: Evaluate ∫sin 3x cos 5x dx

A: Given: I=∫sin3xcos5xdx                                                          ...1 for finding…

Q: Express 2 sinx- v2 cos x in the form of Rsin(x – a), w

A: Given expression is   2 sinx -2 cosx

Q: 1- sin2x/1+cos x=cos x. Verify the identity

A: The given identity:

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: /2 Evaluate sin 20 de sin20 x+ cos x 20

A:

Q: 46 a Show that cos x+ =-sinx. = -sinx. d" (cosx) = cosx + drn b Prove that

A:

Q: 6. Verify the identity: sin x 1 + cosx 1 + cosx sin x 2 cscx %3D

A: Topic = Trigonometry

Q: Verify the identity: 4 cos x cos 2x sin 3x = sin 2x + sin 4x + sin 6x

A: We have to verify the identity: 4cosxcos2xcos3x=sin2x+sin4x+sin6x We know that…

Q: 1-sin' x 3D sin.x 6. cosxcotx

A:

Q: Establish the identity. (5-) - sin cos 0 %3D

A: Given,          sinπ2-θ=cosθWe know that,           sinA-B=sinAcosB-cosAsinB

Q: Compute sin(sin-(2/3)) O 2/3 This quantity does not exist.

A:

Q: Prove the identity. cosx- cos 7x tan 3x %3D sinx+ sin 7x

A: Here we use basic formulas of trigonometric ratios to find addition and subtraction.

Q: Verify the identity. cos 7x- cos 9x tan 8x sin 7x- sin 9x Statomont

A:

Q: 9. Prove. cos x sin x 1 - csc x %3D sec x

A:

Q: Prove (Start either from the LHS or the RHS but DO NOT work from both sides at the same time) 1.…

A: sin2x=1-cos2x and,  tanx= sin(x)/cos(x)

Q: verify sin2(x)+cos2(x)=1

A:

Q: Prove that: sinhx + coshx = e* %3D

A: we have  sinh(x)=ex-e-x2cosh(x)=ex+e-x2

Q: 15. integral sin 4x cos 4xdx

A:

Q: Prove the identity. + sin 3 cos x- cosx

A:

Q: 1+ cos x sin x 7. Verify: ¹ 11 csc x + cotx

A:

Q: prove the identity cosx + sinxtanx= secx

A: The given identity,cosx+sinx tanx=secx

Q: Show that sin²(x) cos(x) = sec(x) – cos(x)

A: We need to show the following. So,         Manipulating right side=secx-cosx=1-cos2xcosx=sin2xcosx

Q: prove the identity sin^2xcos^2x+cos^(4)x=(1-sinx)(1+sinx)

A:

Q: Prove sinxtanx + sinx tanx 1 cosx is an identity.

A:

Q: sin(4 + 5x) cos (5x – 4)dx

A:

Q: Evaluate the indefinite intergral ∫sin(-10x) dx =

A: This question can be solved using integration by substitution.

Q: If sinx = siny = a and cosx = cosy = b,then cos(x-y) is

A: