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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

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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) (a) 1-sqrt(3/2) (b) 1+sqrt(3/2) (c) 1-sqrt(2/3) (d) 1+sqrt(2/3)

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