Question

Solve each of the following equations when $0^{\circ }<\theta <{90}^{\circ }$
2 cos${}^2\theta =\frac{1}{2}$

Answer 1

We have,
$2co{s}^2\theta =\frac{1}{2}$

$\Rightarrow co{s}^2\theta =\frac{1}{4}$

$\Rightarrow cos\theta =\frac{1}{2}$

$\Rightarrow \theta ={60}^{\circ }$