If 1 +sin x + sin ^(2) x + sin ^(3) x ...

If `1 +sin x + sin ^(2) x + sin ^(3) x + ...` to `oo = 4 + 2 sqrt3, 0 lt x lt pi,` then x is equal to : a)`pi/6` b)`pi/4` c)`(3pi)/(4)` d)`(pi)/(3) or (2pi)/(3)`

A

`pi/6`

B

`pi/4`

C

`(3pi)/(4)`

D

`(pi)/(3) or (2pi)/(3)`

Verified by Experts

The correct Answer is:

D

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