Question

use the following triangle to find the value of the indicated trigonometric function. rationalize any denominators that you encounter in the answer. note: enter the exact, fully simplified answer. $\cot\theta=$

Explanation:

Step1: Recall the definition of cotangent

In a right - triangle, \(\cot\theta=\frac{\text{adjacent}}{\text{opposite}}\)

Step2: Identify adjacent and opposite sides

For angle \(\theta\), the adjacent side is \(4\) and the opposite side is \(5\)
So, \(\cot\theta = \frac{4}{5}\)

Answer:

\(\frac{4}{5}\)