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.

Discover how to calculate sin(150°) by using the reference angle and unit circle. This problem explains key trigonometric concepts like reference angles and sine values in different quadrants. Ideal for high school students studying trigonometry.

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