Write the value

Question:

Write the value of $\cos ^{-1}\left(\cos \frac{14 \pi}{3}\right)$

Solution:

$\cos ^{-1}\left(\cos \frac{14 \pi}{3}\right)=\cos ^{-1}\left[\cos \left(4 \pi+\frac{2 \pi}{3}\right)\right]$

$=\cos ^{-1}\left(\cos \frac{2 \pi}{3}\right)$

$=\frac{2 \pi}{3}$

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