In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of
the indicated trigonometric function of t.
-$\left( \frac { 4 } { 9 } , \frac { \sqrt { 65 } } { 9 } \right) \quad$ Find tan $t$
A) $\frac { \sqrt { 65 } } { 9 }$
B) $\frac { 9 } { 4 }$
C) $\frac { 4 \sqrt { 65 } } { 65 }$
D) $\frac { \sqrt { 65 } } { 4 }$

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) = y/x. Therefore, tan(t) = $\frac{\sqrt{65}}{9} / \frac{4}{9} = \frac{\sqrt{65}}{4}$.

In the Problem, T Is a Real Number and P (49,659)\left( \frac { 4 } { 9 } , \frac { \sqrt { 65 } } { 9 } \right) \quad(94​,965​​)

In the Problem, T Is a Real Number and P $\left( \frac { 4 } { 9 } , \frac { \sqrt { 65 } } { 9 } \right) \quad$