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Solve for x: sin⁻¹(x/2) + cos⁻¹x = π/6
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
Find the value of tan⁻¹x - cot⁻¹x, if (tan⁻¹x)² - (cot⁻¹x)² = 5π/8
If tan^-1( (√(1+x²) - √(1-x²)) / (√(1+x²) + √(1-x²)) ) = α, prove that sin2α = x²
Solve for x: 2tan^-1(1/3) + sec^-1(5√2/7) = tan^-1 x
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