Answer
$-27.8^{\circ}$
Work Step by Step
First, ensure that your calculator is in radians.
On your graphing calculator, press the following sequence of buttons:
1. SIN$^{-1}$
2. (
3. -.4664
4. )
5. ENTER
Therefore, $sin^{-1}(-.4664)=-.485$ radians. Then, convert this number to degrees by multiplying by $\frac{180}{\pi}$.
$-.485radians=(-.485(\frac{180}{\pi}))^{\circ}\approx-27.8^{\circ}$.