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Let f (x) = sin x + 2 sin^(2) x + 3 sin ...

Let `f (x) = sin x + 2 sin^(2) x + 3 sin ^(3) x + 4 sin ^(4) x + .... oo`
then number of solution (s) of equation f(x) =2
in `x in [ -pi, pi]-{pm (pi)/(2)}` is -

A

0

B

2

C

4

D

8

Text Solution

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The correct Answer is:
B
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f(x)+sin xf(x+pi)=sin^(2)x

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