Simplify : tan⁻¹(cos x/(1 - sin x))

Question

TextProperties of Inverse Tangent FunctionCBSE PYQ

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Find value of k if sin⁻¹[k tan(2 cos⁻¹(√3/2))] = π/3.

If a = sin⁻¹(√2/2) + cos⁻¹(-1/2) and b = tan⁻¹(√3) - cot⁻¹(-1/√3), then find the value of a + b.

Inverse Trigonometric Functions and Their Definitions

Properties of Inverse Sine Function

Properties of Inverse Cosine Function

Properties of Inverse Tangent Function

Evaluate : sin⁻¹(sin(13π/6)) + cos⁻¹(cos(π/3)) + tan⁻¹(√3)

Express tan⁻¹(cos x / (1 – sin x)), where –π/2 < x < π/2 in the simplest form.

Find the value of tan⁻¹(tan 3π/5) + cos⁻¹(cos 13π/6) + sin⁻¹(–1/2).