Question

If $\sin 2\theta =\frac{1}{2}$; $0<\theta <{16}^{\circ }$, then the value of $\theta$ is

• A. $9^{\circ }$
• B. ${16}^{\circ }$
• C. ${12}^{\circ }$
• D. ${15}^{\circ }$

Answer 1

Answer: (D)

${15}^{\circ }$

$\sin 2\theta =\frac{1}{2}$

$\sin {30}^o=\frac{1}{2}$

$\sin 2\theta =\sin {30}^o$

So, $2\theta ={30}^o$

$\therefore \theta ={15}^o$

So, option $D$ is correct.