Write the value of ^ -1 ( 14 3 ) - Vidyadip

Question

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

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Answer

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

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