## Algebra and Trigonometry 10th Edition

$x\approx3.553$ and $x\approx5.872$
One of the solutions can be found by using the inverse function: $5~sin~x+2=0$ $5~sin~x=-2$ $sin~x=\frac{-2}{5}$ $x=arcsin(-0.4)=-0.412~rad~~$ (it lies in the range $[-\frac{\pi}{2},\frac{\pi}{2}]$) $x=-0.412~rad+2\pi=5.872~rad~~$ (now it lies in the interval $[0,2\pi)$)