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question 32 (1 point)
the point (2, -3) is on the terminal arm of db.which is the correct value of cot b?
( a) \frac { 2 } { sqrt { 13 } } )
( b) - \frac { 3 } { sqrt { 13 } } )
( c) - \frac { 3 } { 2 } )
( d) - \frac { 2 } { 3 } )
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Explanation:

Step1: Recall the definition of cotangent

For a point \((x,y)\) on the terminal arm of an angle, \(\cot\theta=\frac{x}{y}\).
Here \(x = 2\) and \(y=-3\).

Step2: Calculate \(\cot B\)

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

Answer:

D. \(-\frac{2}{3}\)