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.
-$\left( - \frac { \sqrt { 55 } } { 8 } , \frac { 3 } { 8 } \right) \quad$ Find $\cot t$
A)$ - \frac { \sqrt { 55 } } { 3 }$
B) $\frac { \sqrt { 65 } } { 9 }$
C) $\frac { 3 } { 8 }$
D) $- \frac { 9 } { 4 }$

Question

Quizplus · Accepted Answer

The cotangent of an angle $t$ in a right triangle is the ratio of the adjacent side over the opposite side. For a point $(x, y)$ on the unit circle, this translates to $\cot t = \frac{x}{y}$. Given $P = \left( - \frac { \sqrt { 55 } } { 8 } , \frac { 3 } { 8 } \right)$, $\cot t = \frac{- \sqrt { 55 } / 8}{3 / 8} = - \frac { \sqrt { 55 } } { 3 }$.

In the Problem, T Is a Real Number and P (−558,38)\left( - \frac { \sqrt { 55 } } { 8 } , \frac { 3 } { 8 } \right) \quad(−855​​,83​)

In the Problem, T Is a Real Number and P $\left( - \frac { \sqrt { 55 } } { 8 } , \frac { 3 } { 8 } \right) \quad$