The sum of all x in [0, pi] which satisf...

The sum of all `x in [0, pi]` which satisfy the equation `sin x+ (1)/(2) cos x= sin^(2) (x+ (pi)/(4))` is

A

`(pi)/(6)`

B

`(5pi)/(6)`

C

`pi`

D

`2pi`

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The correct Answer is:

C

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