Suppose that the terminal point determined by $t$ is the point $\left( \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right)$
On the unit circle. Find the terminal point determined by $\pi - t$
A) $\left( - \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right)$
B) $\left( \frac { \sqrt { 3 } } { 2 } , \frac { 1 } { 2 } \right)$
C) $\left( \frac { \sqrt { 3 } } { 2 } , - \frac { 1 } { 2 } \right)$
D) $\left( - \frac { \sqrt { 3 } } { 2 } , \frac { 1 } { 2 } \right)$
E) $\left( - \frac { 1 } { 2 } , - \frac { \sqrt { 3 } } { 2 } \mid \right.$

Question

Quizplus · Accepted Answer

The terminal point $\left( \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right)$ corresponds to an angle in the first quadrant. The operation $\pi - t$ reflects this point across the y-axis to the second quadrant, changing the x-coordinate's sign while keeping the y-coordinate the same.

Suppose That the Terminal Point Determined By ttt Is the Point (12,32)\left( \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right)(21​,23​​)

Suppose That the Terminal Point Determined By $t$ Is the Point $\left( \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right)$