To find the angle \(\theta\) when \(\tan(\theta) = 1.0024\), you can use the inverse tangent function (\(\tan^{-1}\) or \(\arctan\)).

\[
\theta = \arctan(1.0024)
\]

Let's calculate this.The angle \(\theta\) is approximately \(45.07^\circ\).

Would you like more details, or do you have any other questions?

Here are some related questions:
1. How do you convert radians to degrees?
2. What is the inverse tangent function used for?
3. Can you find \(\theta\) if \(\tan(\theta) = -1.0024\)?
4. What is the value of \(\theta\) when \(\tan(\theta) = 1\)?
5. How would you solve for \(\theta\) if \(\tan(\theta) = 2\)?
6. What is the general solution for \(\tan(\theta) = 1.0024\) in the interval \(0^\circ\) to \(360^\circ\)?
7. How is the tangent function related to sine and cosine?
8. What are the properties of the tangent function?

**Tip:** When using a calculator to find inverse trigonometric functions, make sure it is set to the correct angle unit (degrees or radians) as required by the problem.

Learn how to find angle theta when tangent theta equals 1.0024 using the inverse tangent function (arctan). This problem covers key trigonometric concepts, including the application of the arctan function. Suitable for students in Grades 11-12.

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