Question

question 24 (1 point)
the point (2, -3) is on the terminal arm of db. which is the correct value of cot b?

Explanation:

Step1: Recall the definition of cotangent

The cotangent of an angle in the coordinate plane is defined as \(\cot\theta=\frac{x}{y}\), where \((x,y)\) is a point on the terminal arm of the angle.

Step2: Identify \(x\) and \(y\) values

Given the point \((2, - 3)\), we have \(x = 2\) and \(y=-3\).

Step3: Calculate \(\cot B\)

Substitute \(x = 2\) and \(y=-3\) into the formula \(\cot B=\frac{x}{y}\), so \(\cot B=\frac{2}{-3}=-\frac{2}{3}\).

Answer:

d) \(-\frac{2}{3}\)