Using the sine function's odd symmetry property:

$\sin(-x) = -\sin(x)$

we find:

$\sin(-\pi/6) = -\sin(\pi/6)$

Since $\sin(\pi/6) = 1/2$, we conclude:

$\sin(-\pi/6) = -1/2$

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Related Questions:

1. What are the sine values for other common angles, such as $\pi/4$ or $\pi/3$?
2. How does the unit circle help in understanding sine and cosine values?
3. What is the general formula for $\sin(-x)$ and $\cos(-x)$?
4. How do you derive the sine and cosine of angles in different quadrants?
5. Can you explain the relationship between sine and cosecant functions?

Tip:

The unit circle is a powerful tool for memorizing trigonometric values and understanding transformations like reflections and shifts!