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Find the principal value of each of the following :

Question:

Find the principal value of each of the following :

$\cos ^{-1} \frac{1}{2}+2 \sin ^{-1} \frac{1}{2}$

 

Solution:

Putting the values of the inverse trigonometric terms

$\frac{\pi}{3}+2 \times \frac{\pi}{6}$

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

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

 

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