The principal value of cosec-1(2) isA. \(\frac{\pi}{3}\)B. \(\frac{\

1.	The principal value of cosec-1(2) isA. \(\frac{\pi}{3}\)B. \(\frac{\pi}{6}\)C. \(\frac{2\pi}{3}\)D. \(\frac{5\pi}{6}\)
Answer» To Find: The Principle value of \(cosec^{-1}(2)\) Let the principle value be given by x Now, let x = \(cosec^{-1}(2)\) cosec x =2 cosec x=cosec( \(\frac{\pi}{6}\)) ( \(\because cos\left(\frac{\pi}{6}\right)=2\)) x =\(\frac{\pi}{6}\)

The principal value of cosec-1(2) isA. \(\frac{\pi}{3}\)B. \(\frac{\pi}{6}\)C. \(\frac{2\pi}{3}\)D. \(\frac{5\pi}{6}\)

Answer»

To Find: The Principle value of \(cosec^{-1}(2)\)

Let the principle value be given by x

Now, let x = \(cosec^{-1}(2)\)

cosec x =2

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

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