Question

If$\theta$is an acute angle, solve the equation $\sin \theta =\frac{1}{2}$.

Short answer

The solution is$\theta =30°$.

Step-by-step solution

Step 1. Given information 

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

Step 2. Calculation 

Here $\theta$is an acute angle that is less than $90°$, so the angle is in the first quadrant.

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

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

$\theta =30°$