Considering the given value of t, choose the ordered pair that lies on the graph of the given pair of parametric equations.
-$$x = \sin t , y = \cos t ; t = \frac { \pi } { 6 }$$
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) $\left( \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right)$

Question

Quizplus · Accepted Answer

For $t = \frac{\pi}{6}$, $\sin\left(\frac{\pi}{6}\right) = \frac{1}{2}$ and $\cos\left(\frac{\pi}{6}\right) = \frac{\sqrt{3}}{2}$, making the ordered pair $\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$.

Considering the Given Value of T, Choose the Ordered Pair x=sin⁡t,y=cos⁡t;t=π6x = \sin t , y = \cos t ; t = \frac { \pi } { 6 }x=sint,y=cost;t=6π​

Considering the Given Value of T, Choose the Ordered Pair $x = \sin t , y = \cos t ; t = \frac { \pi } { 6 }$