Simplify : tan⁻¹(cos x/(1 - sin x))

Question

TextProperties of Inverse Tangent FunctionCBSE PYQ

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

If tan⁻¹ x = 3y, then

Principal Value Branch of Inverse Trigonometric Functions

Properties of Inverse Tangent Function

Express tan–1 (cos x / (1 – sin x)), –3π/2 < x < π/2 in the simplest form.

tan–1(1) + cos–1 (–1/2) + sin–1 (–1/2)

tan–1 (√3) – sec–1 (–2) is equal to

tan–1 (√(1+x²) – 1)/x, x ≠ 0