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.