Suppose that the terminal point determined by t is the point $\left( \frac { 3 } { 5 } , - \frac { 4 } { 5 } \right)$on the unit circle. Find the terminal point determined by $\pi + t$
A) $\left( \frac { 3 } { 3 } , - \frac { 4 } { 5 } \right)$

B) $\left( - \frac { 3 } { 5 } , \frac { 4 } { 5 } \right)$

C) $\left( \frac { 3 } { 4 } , - \frac { 4 } { 3 } \right)$

D) $( - 1,1 )$

E) $\left( - \frac { 4 } { 5 } , \frac { 3 } { 5 } \right)$

Question

Suppose that the terminal point determined by t is the point $\left( \frac { 3 } { 5 } , - \frac { 4 } { 5 } \right)$on the unit circle. Find the terminal point determined by $\pi + t$
A) $\left( \frac { 3 } { 3 } , - \frac { 4 } { 5 } \right)$

B) $\left( - \frac { 3 } { 5 } , \frac { 4 } { 5 } \right)$

C) $\left( \frac { 3 } { 4 } , - \frac { 4 } { 3 } \right)$

D) $( - 1,1 )$

E) $\left( - \frac { 4 } { 5 } , \frac { 3 } { 5 } \right)$

Quizplus · Accepted Answer

Adding $\pi$ to $t$ in the context of the unit circle means rotating the point $\left( \frac { 3 } { 5 } , - \frac { 4 } { 5 } \right)$ by 180 degrees. This rotation changes the sign of both coordinates, resulting in $\left( - \frac { 3 } { 5 } , \frac { 4 } { 5 } \right)$.

Suppose That the Terminal Point Determined by T Is the Point