The general solution of the equation (1-...

The general solution of the equation `(1-sinx+sin^(2)x...+(-1)^(n)sinx...)/(1+sinx+sin^(2)x+.....+sin^(n)x+.....)=(1-cos2x)/(1+cos2x) x ne (2n+1)pi//2, n inz` is

A

`( - 1)^(n) ((pi)/(3)) + n pi, AA n in I`

B

`( - 1)^(n) ((pi)/(6)) + n pi, AA n in I`

C

`( - 1)^(n+1) ((pi)/(6)) + n pi, AA n in I`

D

`( - 1)^(n-1) ((pi)/(3)) + n pi, AA n in I`

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The correct Answer is:

B

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