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

`(sin3theta)/(2cos2theta+1)=(1)/(2)` if `(n in Z)`

A

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

B

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

C

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

D

`theta-n pi-(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(sin 3theta)/(2cos 2theta +1)=(1)/(2)`
`rArr (3 sin theta - 4 sin^(3)theta)/(3-4 sin^(2)theta)=(1)/(2)`
`rArr sin theta =(1)/(2)rArr theta = n pi+(-1)^(n)pi//6, n in Z`
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