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

If `1+sin x+sin ^(2) x+sin ^(3) x+ldots .+infty` is equal to `4+2 sqrt(3), 0 lt x lt pi,` then `x=`

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)` or `(pi)/(6)`

D

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

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HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
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