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Let F(x)=(1+sin(pi/(2k))(1+sin(k-1)pi/(...

Let `F(x)=(1+sin(pi/(2k))(1+sin(k-1)pi/(2k))(1+sin(2k+1)pi/(2k))(1+sin(3k-1)pi/(2k))`. The value of `F(1)+F(2)+F(3)` is equal to

A

`(3)/(16)`

B

`(1)/(4)`

C

`(5)/(16)`

D

`(7)/(16)`

Text Solution

Verified by Experts

The correct Answer is:
D
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