# How do you calculate sin^-1(0.1)?

Apr 28, 2018

${5}^{\circ} 74$
${174}^{\circ} 26$

#### Explanation:

Find arcsin (0.1) by calculator.
sin x = 0.1 --> arc $x 1 = {5}^{\circ} 74$
The unit circle gives another arc x2 that has the same sin value (0.1):
$x 2 = {180}^{\circ} - {5}^{\circ} 74 = {174}^{\circ} 26$
For general answers, add $k {360}^{\circ}$