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cosec^(-1)(cosx) is defined if...

`cosec^(-1)(cosx)` is defined if

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If cosec^(-1) ( cosec x) " and " cosec ( cosec^(-1) x) are equal functions, then the maximum range of value of x is

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The minimum value of the function f(x)=sinx/(sqrt(1-cos^2x))+cosx/sqrt(1-sin^2x)+tanx/sqrt(1-sec^2x-1)+cotx/sqrt(1-cosec^2x-1) whenever it is defined is