1.

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

Answer» Correct Answer - 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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