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For a positive integer n, let : f(n)(t...

For a positive integer n, let :
`f_(n)(theta)=(tan.(theta)/(2))(1+sectheta)(1+sec2theta)`
`(1+sec4theta)....(1+sec2^(n)theta)`. Then :

A

`f_(2)((pi)/(4))=-1`

B

`f_(3)((pi)/(32))=-1`

C

`f_(4)((pi)/(256))=1`

D

`f_(5)((pi)/(128))=-1`

Text Solution

Verified by Experts

The correct Answer is:
B
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