(sin3theta)/(2cos2theta+1)=(1)/(2) if...

`(sin3theta)/(2cos2theta+1)=(1)/(2)` if

A

`theta=2npi+(pi)/(6)`

B

`theta=2npi-(pi)/(6)`

C

`theta=npi+(-1)^(n)(pi)/(6)`

D

`theta=npi-(pi)/(6)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

The value of theta with 0lethetale90^(@) and sin^(2)theta+2cos^(2)theta=(7)/(4) is equal to

Prove that sin (3theta)/(1+2cos 2theta)=sin theta .

Prove that y=(4 sin theta)/((2+cos theta))-theta is an increasing function of theta in [0, pi/2] .

Prove that (sin2theta)/(1+cos2theta)=tantheta

Prove that (sin2theta)/(1-cos2theta)=cottheta

int ((sin theta +cos theta ))/(sqrt(sin 2 theta)) d theta is equal to :

Given that 1-costheta=2sin^2(theta/2) and 1+costheta=2cos^2(theta/2) prove that (1+sintheta-costheta)/(1+sintheta+costheta)=tan(theta/2)

Prove that (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cottheta

Consider the equation sintheta+sin3theta+sin5theta=0 prove that sin3theta(1+2cos2theta)=0

Prove that (1 - cos 4theta)/(1 - cos 5theta) = [(sin (2theta))/(sin(5/2theta))]^2