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The number of solutions of sin^(2)theta=...

The number of solutions of `sin^(2)theta=(1)/(2)` in `[0,pi]` is . . .

A

three

B

four

C

two

D

one

Text Solution

Verified by Experts

The correct Answer is:
C
We have, `sin^(2)theta=(1)/(2)`
`implies sin theta=+-(1)/(sqrt(2))`
we know, `theta in [0,pi], sin theta` is positive
`thereforesintheta=sin45^(@),sin(180^(@)-45^(@))` i.e., `sin135^(@)`.
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