# How do you evaluate sin^-1(sin((pi)/10))?

Jul 8, 2016

$\frac{\pi}{10}$.

#### Explanation:

Use ${\sin}^{- 1} \left(\sin a\right)$ = the operand a.

Here $a = \frac{\pi}{10}$

Had it been ${\sin}^{- 1} \left(\sin \left(\frac{9 \pi}{10}\right)\right)$, instead, the value will be the new

operand $\frac{9 \pi}{10}$.