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The trigonometric function tangent (tan) has a period of \(180^\circ\), meaning that \( \tan(180^\circ + \theta) = \tan(\theta) \). Therefore, for the given question:

**What is the value of \( \tan(180^\circ + \theta) \)?**

The correct answer is \( \textbf{(C) } \tan(\theta) \).

Would you like more detail on this, or do you have another question on trigonometry?

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**Further Questions to Consider:**
1. Can you explain why the tangent function has a period of \(180^\circ\)?
2. What would be the value of \( \tan(180^\circ - \theta) \)?
3. How does the periodicity of tangent compare to sine and cosine functions?
4. What happens to the tangent function at angles like \(90^\circ\) and \(270^\circ\)?
5. Could you derive the tangent of sum identities from the sine and cosine sum identities?

**Tip:** Remember, understanding the periodic properties of trigonometric functions can greatly simplify solving trigonometric equations and evaluating expressions.

Learn about the periodicity of the tangent function and how to evaluate tan(180° + θ). This problem covers core trigonometric identities and is suitable for students in Grades 10-12.

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