Given that $\sin 2\alpha = \dfrac{\sqrt{3}}{2}$, the value of $\sin...

Question

Given that $\sin 2\alpha = \dfrac{\sqrt{3}}{2}$, the value of $\sin 3\alpha$ is :

Accepted Answer

Step 1: $$\sin 2\alpha = \frac{\sqrt{3}}{2} = \sin 60^\circ$$
Step 2: $$2\alpha = 60^\circ \Rightarrow \alpha = 30^\circ$$
Step 3: $$\sin 3\alpha = \sin(3 	imes 30^\circ) = \sin 90^\circ = 1$$

Correct option : (C)

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