If cos⁻¹ x + cos⁻¹ y + cos⁻¹  z = \(\pi \) and 0 < x, y, z < 1, show that x² + y² + z² + 2xyz = 1 

Solve sin^-1 x > cos^-1x

Solve tan^-1 2x + tan^-1 3x = \(\frac{\pi}{4}\), if 6x² < 1

Find the value of the expression in terms of x, with the help of a reference triangle.
 sin(cos⁻¹(1-x))

Find the domain of the following
g(x) = 2sin⁻¹(2x−1)−\(\frac{\pi}{4}\)