Question

If the value of $2sin2\theta =\sqrt{3}$, then the value of $\theta$ is ______.

• A. ${45}^{\circ }$
• B. ${30}^{\circ }$
• C. ${60}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is B ${30}^{\circ }$

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