JEE Main 2016 (9)

Geometry Level 4

If p=sin(arccot(x)),q=cot(arcsin(x))p=\sin(\text{arccot}(x)),q=\cot(\text{arcsin}(x)) and p2=f(q)1+f(q)p^{2}=\dfrac{f(q)}{1+f(q)}, then find f(5)f(5).


Try my set: JEE Main 2016.
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