Question

Find the principal value of:
sin-1(root3 - 1/ 2root2)

Answer 1

${sin}^{ - 1} ( \frac{ \sqrt{3} - 1}{2 \sqrt{2} } ) = \frac{\pi}{10}$
$so \: the \: principal \: value \: in \: \sin \: < < (0 \: . \: \pi) > > \\ here \: \alpha = \frac{\pi}{10}$
hope it helps

Answer 2

Answer:

$\pi \div 12$