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MATHEMATICS · Subjective · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Find sin⁡−1(sin⁡θ)\sin^{-1}(\sin\theta), cos⁡−1(cos⁡θ)\cos^{-1}(\cos\theta), tan⁡−1(tan⁡θ)\tan^{-1}(\tan\theta), and cot⁡−1(cot⁡θ)\cot^{-1}(\cot\theta) for θ∈(5π2,3π)\theta\in\left(\frac{5\pi}{2},3\pi\right).

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