Mathematics

Problem

Sketch the graphs for (i) y = \sin(\sin^{-1} x) (ii) y = \cos(\cos^{-1} x) (iii) y = \tan(\tan^{-1} x) (iv) y = \text{cosec}(\text{cosec}^{-1} x) (v) y = \text{sec}(\text{sec}^{-1} x) (vi) y = \cot(\cot^{-1} x) \text{ and hence find } \frac{dy}{dx}

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