A point on the terminal side of angle θ is given. Find the exact value of the indicated trigonometric function of θ.
-$( 8,6 )$ Find $\cot \theta$.
A) $\frac { 4 } { 3 }$
B) $\frac { 3 } { 4 }$
C) $\frac { 4 } { 5 }$
D) $\frac { 3 } { 5 }$

Question

Quizplus · Accepted Answer

The cotangent of an angle in a right triangle is the ratio of the adjacent side to the opposite side. Given a point (8,6), we can interpret these as the coordinates in the Cartesian plane, where 8 is the x-coordinate (adjacent side) and 6 is the y-coordinate (opposite side). Therefore, $\cot \theta = \frac{8}{6} = \frac{4}{3}$.

A Point on the Terminal Side of Angle θ Is (8,6)( 8,6 )(8,6)

A Point on the Terminal Side of Angle θ Is $( 8,6 )$