Evaluate the following : `sin(cos^(-1)x)`

Evaluate the following sin(cos^(-1)""(3)/5)

Differentiate the following w.r.t. x (i) cos ^(-1)(sin x) (if) tan ^(-1)(sin x/(1+cos x)) (iii) sin ^(-1)((2^(x+1))/(1+4^x))

Evaluate the following integrals: int_0^pi sin^2 (x/2) - cos^2(x/2) dx

Find the values of the following tan ^(-1)(1)+cos ^(-1)(-1/2)+sin ^(-1)(-1/2)

Using properties evaluate the following definite integrals int_0^(pi/2) cos^5x/(sin^5x+cos^5x) dx

Find the derivative of the following functions sin x cos x

Integrate the following functions: (sin^3x + cos^3x)/(sin^2x cos^2x)

Find the values of each of the following tan ^(-1)[2 cos (2 sin ^(-1) (1/2)]

Compute the following: [[cos^2x, sin^2x],[sin^2x, cos^2x]]+[[sin^2x, cos^2x],[cos^2x, sin^2x]]

Find dy/dx of the following y=cos^(-1)frac((x-x^(-1)))(x+x^-1)