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