Here is a diagram representing \(\arctan(1)\), where the angle corresponds to \( \frac{\pi}{4} \) radians or 45 degrees. It includes a right triangle with equal sides of 1 unit, and a hypotenuse of \( \sqrt{2} \), as well as a reference to the unit circle.

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Here are some related questions you might find interesting:
1. What is the relationship between \(\arctan(1)\) and \(\sin(\theta)\)?
2. How does \(\arctan(x)\) behave as \(x \to \infty\)?
3. How is the unit circle used to explain inverse trigonometric functions?
4. What is the general formula for \(\arctan(x)\) in terms of a right triangle?
5. Can \(\arctan(x)\) be expressed using series expansion?

**Tip:** When \(\arctan(1)\) equals \( \frac{\pi}{4} \), it indicates that the angle corresponds to a 45° triangle with opposite and adjacent sides equal.

Explore the diagram for arctan(1), which corresponds to an angle of π/4 radians (45 degrees). This problem illustrates a right triangle with equal sides and references the unit circle, using trigonometric concepts such as tangent and arctangent. Suitable for students in Grades 10-12.

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