Question

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

Answer 1

We have,
$2si{n}^2\theta =\frac{1}{2}$
$\Rightarrow si{n}^2\theta =\frac{1}{4}$
$\Rightarrow sin\theta =\frac{1}{2}$
$\Rightarrow \theta ={30}^{\circ }$