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Question
Find the value of \[\cos^{- 1} \left( \cos\frac{13\pi}{6} \right)\]
Solution
\[\cos^{- 1} \left( \cos\frac{13\pi}{6} \right) = \cos^{- 1} \left[ \cos\left( 2\pi + \frac{\pi}{6} \right) \right]\]
\[ = \cos^{- 1} \left[ \cos\left( \frac{\pi}{6} \right) \right]\]
\[ = \frac{\pi}{6}\]
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