1. The problem is to find the value of $\sin 30^\circ$. 2. The sine function relates an angle in a right triangle to the ratio of the length of the opposite side to the hypotenuse. 3. A key special angle is $30^\circ$, where $\sin 30^\circ = \frac{1}{2}$. 4. This is a standard trigonometric value derived from the properties of a 30-60-90 triangle. 5. Therefore, the value of $\sin 30^\circ$ is $\frac{1}{2}$.