I dont know how will i get these Limits for inverse Trigonometric functions for eg(adsbygoogle = window.adsbygoogle || []).push({});

[tex]2 \sin^{-1}x = - \pi - sin^{-1} [2x \sqrt{1-x^2}] for x \leq -\frac{1}{\sqrt{2}} [/tex]

=[tex] sin^{-1} [2x \sqrt{1-x^2}] -\frac{1}{\sqrt{2}} \leq x \leq \frac{1}{\sqrt{2}} [/tex]

=[tex] \pi - sin^{-1} [2x \sqrt{1-x^2}] x \geq \frac{1}{\sqrt{2}} [/tex]

I want to know how we arrive at these values Or intervals

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# Inverse Circular functions

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