cos'(x)=cosec((1)/(x))

Prove that: cos ( cos^(-1) x) = cosec ( cosec^(-1)x).

Find the solutions of the equation cos ( cos^(-1) x) = cosec ( cosec^(-1)x).

Find the number of solutions of the equations cos (cos^(-1)x) = "cosec"("cosec"^(-1)x)

If f(x)=|(sec^(2)x,1,1),(cos^(2)x,cos^(2)x,cosec^(2)x),(1,cos^(2)x,cot^(2)x)| , then int_(0)^(pi//4)f(x)dx=

The domain of the function f(x)=cos^(-1)(sec(cos^-1 x))+sin^(-1)(cosec(sin^(-1)x)) is

The domain of the function f(x)=cos^(-1)(sec(cos^-1 x))+sin^(-1)(cosec(sin^(-1)x)) is

The domain of the function f(x)=cos^(-1)(sec(cos^-1 x))+sin^(-1)(cosec(sin^(-1)x)) is

The domain of the function f(x)=cos^(-1)(sec(cos^-1 x))+sin^(-1)(cosec(sin^(-1)x)) is

If y="cosec"^(-1)((x+1)/(x-1))+cos^(-1)((x-1)/(x+1)) , then (dy)/(dx) is equal to -