Find the point (x, y) on the unit circle that corresponds to the real number $\frac { \pi } { 4 }$ .Use your results to evaluate tan t.
A) $\tan t = - \frac { \sqrt { 3 } } { 2 }$
B) $\tan t = 0$
C) $\tan t = \frac { \sqrt { 3 } } { 2 }$
D) $\tan t = 1$
E) $\tan t = \text { undefmed }$

Question

Quizplus · Accepted Answer

The point on the unit circle that corresponds to the real number $\frac{\pi}{4}$ is $\left(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right)$. Therefore, $\tan t = \frac{y}{x} = \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1$.

Find the Point (X, Y) on the Unit Circle That π4\frac { \pi } { 4 }4π​

Find the Point (X, Y) on the Unit Circle That $\frac { \pi } { 4 }$