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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 by thanvigandhi_1
edited Mar 19, 2013 by thanvigandhi_1
 

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