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

Let `f: (-1, 1) to R` be such that `f(cos 4theta) = (2)/(2-sec^(2)theta) ` 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)`

Text Solution

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The correct Answer is:
B
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