First slide

Properties of ITF

Question

The principle value of $\cos^{- 1} (- \sin \frac{7 π}{6})$ ,is

Moderate

A

$\frac{5 π}{3}$
B

$\frac{7 π}{6}$
C

$\frac{π}{3}$
D

none of these

Solution

We have,
$\begin{array}{l} \cos^{- 1} (- \sin \frac{7 π}{6}) = \cos^{- 1} (- \sin (π + \frac{π}{6})) = \cos^{- 1} (\sin \frac{π}{6}) \\ = \frac{π}{2} - \sin^{- 1} (\sin \frac{π}{6}) = \frac{π}{2} - \frac{π}{6} = \frac{π}{3} \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App