Simplify your answer. type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the express. Rationalize the demonization 

The exact value of \(\sin(-240^\circ)\) is already simplified. Here's the expression with details:

\[
\sin(-240^\circ) = -\frac{\sqrt{3}}{2}
\]

- **Radical**: The square root symbol is already used as needed.
- **Fraction**: The expression \(\frac{\sqrt{3}}{2}\) is in fraction form, with an integer in the denominator.
- **Rationalization**: The denominator \(2\) is already rational, so no further steps are needed.

Thus, the expression \(\boxed{-\frac{\sqrt{3}}{2}}\) is the simplest and exact form.

Do you have any further questions, or would you like a more detailed explanation of this process?

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1. How do you rationalize a denominator with a radical?
2. What are the steps to simplify trigonometric expressions?
3. How does the unit circle help in finding exact values?
4. What is the process for converting negative angles to positive ones?
5. How can we use symmetry in trigonometry to simplify expressions?

**Tip**: Always check if the denominator is rational to ensure your answer is fully simplified.

Learn how to simplify the trigonometric expression \(\sin(-240^\circ)\) using trigonometric identities and the unit circle theorem. Understand the process of converting negative angles, rationalizing denominators, and simplifying radicals in trigonometry. Suitable for students in Grades 10-12.

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