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Let fn(a)=(sinalpha+sin3alpha+sin5alpha+...

Let `f_n(a)=(sinalpha+sin3alpha+sin5alpha+...+sin(2n-1)alpha)/(cosalpha+cos3alpha+cos5alpha+...+cos(2n-1)alpha)` Then, the value of `f_4(pi/32)` is equal to

A

`sqrt(2)+1`

B

`sqrt(2)-1`

C

`2+sqrt(3)`

D

`2-sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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