Question

If sin⁻¹x + sin⁻¹y + sin⁻¹z = π, show that x² − y² − z² + 2yz√(1−x²) = 0

Solve for x : 5tan⁻¹x + 3cot⁻¹x = 2π

Evaluate: ∫ cos⁻¹(sin x) dx

If tan⁻¹((x-1)/(x+1)) + tan⁻¹((2x-1)/(2x+1)) = tan⁻¹(23/36) then prove that 24x² − 23x − 12 = 0