The value of $\sin(150^\circ)$ can be found using the reference angle and the unit circle.

$\sin(150^\circ) = \sin(180^\circ - 30^\circ) = \sin(30^\circ)$

Since $150^\circ$ is in the second quadrant, where sine is positive:

$\sin(150^\circ) = \sin(30^\circ) = \frac{1}{2}$

So, $\sin(150^\circ) = \frac{1}{2}$.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. What is the value of $\sin(210^\circ)$?
2. How do you find the sine of an angle using the unit circle?
3. What is the cosine of $150^\circ$?
4. What is the value of $\sin(120^\circ)$?
5. Can you explain how to find the reference angle for any given angle?

Tip: When solving trigonometric problems, always consider the quadrant in which the angle lies to determine the sign of the result.