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.
-$\left( \frac { 5 } { 6 } , \frac { \sqrt { 11 } } { 6 } \right) \quad$ Find $\tan \mathrm { t }$
A) $\frac { \sqrt { 11 } } { 5 }$
B) $\frac { 6 } { 5 }$
C) $\frac { \sqrt { 11 } } { 6 }$
D) $\frac { 5 \sqrt { 11 } } { 11 }$

Question

Quizplus · Accepted Answer

The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side. For a point $(x, y)$ on the unit circle, $\tan(t) = \frac{y}{x}$. Therefore, $\tan(t) = \frac{\sqrt{11}}{5}$.

The Point P(x, Y) on the Unit Circle That Corresponds (56,116)\left( \frac { 5 } { 6 } , \frac { \sqrt { 11 } } { 6 } \right) \quad(65​,611​​)

The Point P(x, Y) on the Unit Circle That Corresponds $\left( \frac { 5 } { 6 } , \frac { \sqrt { 11 } } { 6 } \right) \quad$