^ - 1 ( 7 6 ) = - Vidyadip

MCQ

${\cos ^{ - 1}}\left( {\cos \frac{{7\pi }}{6}} \right) = $

A
$\frac{{7\pi }}{6}$
✓
$\frac{{5\pi }}{6}$
C
$\frac{\pi }{6}$
D
None of these

✓

Answer

Correct option: B.

$\frac{{5\pi }}{6}$

b
(b) ${\cos ^{ - 1}}\left( {\cos \frac{{7\pi }}{6}} \right) = {\cos ^{ - 1}}\left\{ {\cos \left( {\pi + \frac{\pi }{6}} \right)} \right\}$

$= {\cos ^{ - 1}}\left( { - \cos \frac{\pi }{6}} \right) = \pi - {\cos ^{ - 1}}\cos \frac{\pi }{6} $

$= \pi - \frac{\pi }{6} = \frac{{5\pi }}{6}$.

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