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Let f : (-1,1) rarr R such that f(cos 4 ...

Let `f : (-1,1) rarr R` such that `f(cos 4 theta) = 2 /(2-sec^2 theta) ` for `theta in (0,(pi)/(4)) cap (pi/2,pi/2)` . Then the value (s) of `f(1/3) ` is /are

A

`1-sqrt(3/2)`

B

`1+sqrt(3/2)`

C

`1-sqrt(2/3)`

D

`1+sqrt(2/3)`

Text Solution

Verified by Experts

The correct Answer is:
A, B
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