The value of $ heta$ for which $2 \sin 2 heta=1$, is\

Question

The value of $	heta$ for which $2 \sin 2 	heta=1$, is\

Professor PC Thomas Classes · Answer

(a):Given, $2 \sin 2 	heta=1 \Rightarrow \sin 2 	heta=1 / 2$\ $\Rightarrow 2 	heta=30^{\circ}$ $$ \left(\because \quad \sin 30^{\circ}=\frac{1}{2}ight) $$ $\Rightarrow 	heta=15^{\circ}$\