The value of cosec-1 (\(\frac{2}{\sqrt{3}}\)) is: (a) \(\frac{\pi}{

1.	The value of cosec-1 (\(\frac{2}{\sqrt{3}}\)) is: (a) \(\frac{\pi}{4}\)(b) \(\frac{\pi}{2}\)(c) \(\frac{\pi}{3}\)(d) \(\frac{\pi}{6}\)
Answer» (c) \(\frac{\pi}{3}\) Let cosec^-1 (\(\frac{2}{\sqrt{3}}\)) \(\frac{2}{\sqrt{3}}\) = cosec A cosec A = \(\frac{2}{\sqrt{3}}\) sin A = \(\frac{\sqrt{3}}{2}\) = sin 60° ∴ A = 60° = \(\frac{\pi}{3}\)

The value of cosec-1 (\(\frac{2}{\sqrt{3}}\)) is: (a) \(\frac{\pi}{4}\)(b) \(\frac{\pi}{2}\)(c) \(\frac{\pi}{3}\)(d) \(\frac{\pi}{6}\)

Answer»

(c) \(\frac{\pi}{3}\)

Let cosec^-1 (\(\frac{2}{\sqrt{3}}\))

\(\frac{2}{\sqrt{3}}\) = cosec A

cosec A = \(\frac{2}{\sqrt{3}}\)

sin A = \(\frac{\sqrt{3}}{2}\) = sin 60°

∴ A = 60° = \(\frac{\pi}{3}\)