Solve sin(30°)

Step-by-step solution

1. $30°$ is one of the standard "special angles" you should memorise.

2. In radians: $30° = \frac{\pi}{6}$.

3. On the unit circle, the point at $30°$ has coordinates $\bigl(\frac{\sqrt{3}}{2}, \frac{1}{2}\bigr)$.

4. Sine is the y-coordinate: $\sin(30°) = \frac{1}{2}$.

5. Geometric verification: in a $30°$-$60°$-$90°$ triangle, the side opposite the $30°$ angle is exactly half the hypotenuse — directly giving $\sin 30° = \frac{1}{2}$.