Question

Solve for $x$:

$\cos (\frac{x}{2}+{10}^{\circ })=\frac{\sqrt{3}}{2}$

Answer 1

$cos(\frac{x}{2}+{10}^{\circ })=\frac{\sqrt{3}}{2}$
$cos(\frac{x}{2}+{10}^{\circ })=cos30$
$\frac{x}{2}+10=30$
$\frac{x}{2}=20$
$x={40}^{\circ }$