If $1\, + \,\sin x\, + \,{\sin ^2}x\, + \,...\infty \, = \,4\, + \,2\sqrt 3 ,\,0\, < \,x\, < \,\pi $ then
If $1\, + \,\sin x\, + \,{\sin ^2}x\, + \,...\infty \, = \,4\, + \,2\sqrt 3 ,\,0\, < \,x\, < \,\pi $ then
- A
$x = \frac{\pi }{6}$
- B
$x = \frac{\pi }{3}$
- C
$x = \frac{\pi }{6}$ or $\frac{\pi }{3}$
- D
none of these
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- [KVPY 2009]
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