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Let f(x)=(sin^(-1)x)/(cos^(-1)x)+(cos^(-...

Let `f(x)=(sin^(-1)x)/(cos^(-1)x)+(cos^(-1)x)/(tan^(-1)x)+(tan^(-1)x)/(sec^(-1)x)+(sec^(-1)x)/(cosec^(-1)x)+(cosec^(-1)x)/(cot^(-1)x)+(cot^(-1)x)/(sin^(-1)x)`. Then which of the following statements holds good?

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If f(x) = sin^(-1) x. cos^(-1) x. tan^(-1) x . cot^(-1) x. sec^(-1) x. cosec^(-1) x , then which of the following statement (s) hold(s) good?

Let f(x)=sin^(-1)(tan x)+cos^(-1)(cot x) then

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sin "cosec"^(-1) cot (tan^(-1)x) =x