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Solution of the equation sin (sqrt(1+sin...

Solution of the equation `sin (sqrt(1+sin 2 theta))= sin theta + cos theta` is `(n in Z)`

A

`n pi-pi/4`

B

`n pi+pi/12`

C

`n pi+pi/6`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`sin (sqrt(1+sin 2 theta))= sin theta + cos theta`
`rArr sin(sin theta + cos theta)= sin theta + cos theta`
The equation of the form `sin x =x`
`rArr x=0`
`rArr 1+ sin 2 theta=0`
`rArr sin 2 theta =-1`
`rArr theta=npi -pi/4, n in Z`
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