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

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. Here, cot θ = 7/24, but since the point is in the first quadrant, the correct choice is E, which is the negative reciprocal of the tangent.

The Point (7,24)is on the Terminal Side of an Angle cot⁡θ=−247\cot \theta = - \frac { 24 } { 7 }cotθ=−724​

The Point (7,24)is on the Terminal Side of an Angle $\cot \theta = - \frac { 24 } { 7 }$