Mark the tick against the correct answer in the following: The princi

1.	Mark the tick against the correct answer in the following: The principal value of is \(cos^{-1}\left(\frac{\sqrt{3}}{2}\right)\)A. \(\frac{\pi}{6}\)B. \(\frac{5\pi}{6}\)C. \(\frac{7\pi}{6}\)D. none of these
Answer» To Find:The Principle value of \(cos^{-1}\left(\frac{\sqrt{3}}{2}\right)\) Let the principle value be given by x Now, let x = \(cos^{-1}\left(\frac{\sqrt{3}}{2}\right)\) cos x= \(\frac{\sqrt{3}}{2}\) cos x=cos( \(\frac{\pi}{6}\)) (\(\because cos\left(\frac{\pi}{6}\right)=\frac{\sqrt{3}}{2}\) ) x =\(\frac{\pi}{6}\)

Mark the tick against the correct answer in the following: The principal value of is \(cos^{-1}\left(\frac{\sqrt{3}}{2}\right)\)A. \(\frac{\pi}{6}\)B. \(\frac{5\pi}{6}\)C. \(\frac{7\pi}{6}\)D. none of these

Answer»

To Find:The Principle value of \(cos^{-1}\left(\frac{\sqrt{3}}{2}\right)\)

Let the principle value be given by x

Now, let x = \(cos^{-1}\left(\frac{\sqrt{3}}{2}\right)\)

cos x= \(\frac{\sqrt{3}}{2}\)

cos x=cos( \(\frac{\pi}{6}\)) (\(\because cos\left(\frac{\pi}{6}\right)=\frac{\sqrt{3}}{2}\) )

x =\(\frac{\pi}{6}\)