Let f:(-1,1)rarrR be such that f(cos4the...

Let f:(-1,1)`rarrR` be such that `f(cos4theta)=2/(2-sec^2theta)` for `thetain(0,pi/4)cup(pi/4,pi/2)`. The the values of `f(1/3)` are

A

`1+-sqrt(3/2)`

B

`1+-sqrt(2/3)`

C

`1+-sqrt(1/3)`

D

`1+-sqrt(1/2)`

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