The point (-7,-24) is on the terminal side of an angle in standard position.Determine the exact value of $\cot \theta$ .
A) $\cot \theta = - \frac { 25 } { 24 }$
B) $\cot \theta = \frac { 1 } { 25 }$
C) $\cot \theta = \frac { 7 } { 24 }$
D) $\cot \theta = \frac { 31 } { 7 }$
E) $\cot \theta = - \frac { 24 } { 25 }$

Question

Quizplus · Accepted Answer

The cotangent of an angle is the ratio of the x-coordinate to the y-coordinate of a point on its terminal side. For the point (-7, -24), $\cot \theta = \frac{x}{y} = \frac{-7}{-24} = \frac{7}{24}$.

The Point (-7,-24) Is on the Terminal Side of an Angle