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Let f:(-1,1)vecR be such that f(cos4thet...

Let `f:(-1,1)vecR` 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) `1-sqrt(3/2)` (b) `1+sqrt(3/2)` (c) `1-sqrt(2/3)` (d) `1+sqrt(2/3)`

A

`1-sqrt(3/2)`

B

`1+sqrt(3/2)`

C

`1-sqrt(2/3)`

D

`1+sqrt(2/3)`

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