Mathematics

Mathematics

Problem

Sketch the graph for (i) y = \sin^{-1} \left( \frac{2x}{1+x^2} \right) (iii) y = \tan^{-1} \left( \frac{2x}{1-x^2} \right) (v) y = \sin^{-1}(3x - 4x^3) (ii) y = \cos^{-1} \left( \frac{1-x^2}{1+x^2} \right) (iv) y = \tan^{-1} \left( \frac{3x-x^3}{1-3x^2} \right) (vi) y = \cos^{-1}(4x^3 - 3x)

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