# When working in decimal radians, how do you find sin^-1(-1/6)?

$- 0.167448079 \setminus \setminus \textrm{r a d}$

#### Explanation:

For small value of angle

$\setminus {\sin}^{- 1} \left(- \frac{1}{6}\right) \setminus \approx - \frac{1}{6} = - 0.167 \setminus \setminus \textrm{r a d}$

Or
$\setminus {\sin}^{- 1} \left(- \frac{1}{6}\right)$

$= - \setminus {\sin}^{- 1} \left(\frac{1}{6}\right)$

$= - 0.167448079 \setminus \setminus \textrm{r a d}$