Problem

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), 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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