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Solve for x : 5tan⁻¹x + 3cot⁻¹x = 2π
If tan⁻¹((x-1)/(x+1)) + tan⁻¹((2x-1)/(2x+1)) = tan⁻¹(23/36) then prove that 24x² − 23x − 12 = 0
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
If cos⁻¹ x/2 + cos⁻¹ y/3 = θ, then prove that 9x² − 12xy cos θ + 4y² = 36 sin² θ
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