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

Let `f:(-1,1) rarr R `be such that `f(cos 4 theta) = (2)/(2-sec^(2) theta)` for `theta in (0, pi/4) uu (pi/4, pi/2)`. Then the value 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))`

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The correct Answer is:

A, B

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