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Let f : (-1, 1) -> R be such that f(cos4...

Let `f : (-1, 1) -> R` be such that `f(cos4theta) = 2/(2-sec^2theta` for `theta in (0, pi/4) uu (pi/4, 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)`

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A, B
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