Question

Solve each of the following equations when $0^{\circ }<\theta <{90}^{\circ }$
2 sin 2 $\theta =\sqrt{3}$

Answer 1

We have,
2 sin 2 $\theta =\sqrt{3}\Rightarrow sin2\theta =\frac{\sqrt{3}}{2}\Rightarrow 2\theta ={60}^{\circ }\Rightarrow \theta ={30}^{\circ }$