The point P(x, y) on the unit circle that corresponds to a real number t is given. Find the values of the indicated
trigonometric function at t.
-$\cot \frac { 4 \pi } { 3 }$
A) $\frac { \sqrt { 3 } } { 3 }$
B) $- \sqrt { 3 }$
C) $\sqrt { 3 }$
D) $- \frac { \sqrt { 3 } } { 3 }$

Question

Quizplus · Accepted Answer

The point on the unit circle that corresponds to $ t = \frac { 4 \pi } { 3 } $ is $ \left( - \frac { 1 } { 2 } , - \frac { \sqrt { 3 } } { 2 } \right) $. Therefore, $ \cot \frac { 4 \pi } { 3 } = \frac { - \frac { 1 } { 2 } } { - \frac { \sqrt { 3 } } { 2 } } = \frac { \sqrt { 3 } } { 3 } $.

The Point P(x, Y) on the Unit Circle That Corresponds cot⁡4π3\cot \frac { 4 \pi } { 3 }cot34π​

The Point P(x, Y) on the Unit Circle That Corresponds $\cot \frac { 4 \pi } { 3 }$