The value of \( \arctan(0) \) is \( 0 \).

The arctangent function, \( \arctan(x) \), gives the angle whose tangent is \( x \). Since the tangent of \( 0 \) radians is \( 0 \), the result is:

\[
\arctan(0) = 0 \text{ radians}.
\]

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Here are 8 related questions you might explore:
1. What is the difference between the arctan and arccos functions?
2. How is the arctangent function related to trigonometric identities?
3. What is the geometric interpretation of \( \arctan(x) \)?
4. How do you express arctan in degrees instead of radians?
5. How does arctan relate to the unit circle?
6. How does the arctan function behave as \( x \) approaches infinity?
7. What are some real-world applications of the arctangent function?
8. How does \( \arctan(x) \) differ from \( \arcsin(x) \) and \( \arccos(x) \)?

**Tip:** The arctan function is useful in determining the angle of inclination when you know the ratio of the opposite side to the adjacent side in a right triangle.

Explore the mathematical concept of \( \arctan(0) \), where the arctangent function gives the angle whose tangent is zero. Learn how to calculate \( \arctan(0) \) and its practical applications. Suitable for advanced students and learners interested in trigonometry.

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