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# Find the principal value of $\sin^{-1}\bigg(\frac{-\sqrt {3}}{2}\bigg)+\cos^{-1}\bigg(\frac{-\sqrt {3}}{2}\bigg)$

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• $$sin^{-1}x+cos^{-1}x=\large\frac{\pi}{2}$$ for all x in the domain

Ans :$$\large \frac{\pi}{2}$$
Take $$x=-\large\frac{\sqrt3}{2}$$ in the above formula to get the answer $$\large\frac{\pi}{2}$$

answered Feb 20, 2013
edited Mar 19, 2013