The value of \(\cot(45^\circ)\) is 1.

This is because \(\cot(\theta) = \frac{1}{\tan(\theta)}\), and \(\tan(45^\circ) = 1\), so:

\[
\cot(45^\circ) = \frac{1}{1} = 1
\]

Would you like further details or have any questions?

Here are some related questions:
1. What is \(\cot(30^\circ)\)?
2. How is \(\cot(\theta)\) related to other trigonometric functions?
3. What is the value of \(\tan(45^\circ)\)?
4. How can you derive the value of \(\cot(45^\circ)\) from a unit circle?
5. What is the relationship between cotangent and tangent?

**Tip:** Remember, cotangent is the reciprocal of tangent.

Learn how to find the value of cot(45°), which is 1. This problem explores key trigonometric concepts such as cotangent, tangent, and their reciprocal relationship. Suitable for high school students studying Grades 9-12.

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