The expression \( 4 \arctan(0) \) involves multiplying 4 by the value of \( \arctan(0) \).

The arctangent of 0, \( \arctan(0) \), is the angle whose tangent is 0. In this case:

\[
\arctan(0) = 0
\]

Therefore:

\[
4 \arctan(0) = 4 \times 0 = 0
\]

The value of \( 4 \arctan(0) \) is \( 0 \).

Would you like more details on this topic or have any further questions?

Here are 5 related questions to expand on this concept:
1. What is the value of \( \arctan(1) \)?
2. How does the arctangent function relate to the unit circle?
3. What is the range of the arctangent function?
4. Can you explain how to solve \( \arctan(\frac{1}{\sqrt{3}}) \)?
5. What are the properties of the arctangent function in different quadrants?

**Tip:** The arctangent function gives the angle corresponding to a given tangent value, and its range is typically \( \left( -\frac{\pi}{2}, \frac{\pi}{2} \right) \).

Learn how to calculate the expression 4arctan(0). This problem covers important trigonometric concepts like the arctangent function and explains why arctan(0) equals 0. Suitable for students in Grades 9-12.

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