If $sin A =\frac{1}{2}$ , then find the value of $sin 3A$.

Given : 

The given is  $sin A =\frac{1}{2}$.

To find : 

We have to find the value of  $sin 3A$.

Solution :

$sin A =\frac{1}{2}$  

We know that $sin 30° = \frac{1}{2}$

$sin A = sin 30°$

$A =30°$

So,  $sin 3A = sin 3(30°) = sin 90° = 1$

Therefore, the value of sin 3A is 1.