1.

Find the principal value of each of the following :\(\cos^{-1}\left(\frac{-1}{2}\right)\)

Answer»

\(\cos^{-1}\left(\frac{-1}{2}\right)\)\(=\pi-\cos^{-1}\left(\frac{1}{2}\right)\) [ Formula: cos -1(-x) = -cos -1(x) ]

\(=\pi-\frac{\pi}{3}=\frac{2\pi}{3}\)



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