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

Question

Quizplus · Accepted Answer

For $t = \frac{2\pi}{3}$, $\sin\left(\frac{2\pi}{3}\right) = \frac{\sqrt{3}}{2}$ and $\cos\left(\frac{2\pi}{3}\right) = -\frac{1}{2}$, which matches option B.

Considering the Given Value of T, Choose the Ordered Pair x=sin⁡t,y=cos⁡t;t=2π3\mathrm { x } = \sin \mathrm { t } , \mathrm { y } = \cos \mathrm { t } ; \mathrm { t } = \frac { 2 \pi } { 3 }x=sint,y=cost;t=32π​

Considering the Given Value of T, Choose the Ordered Pair $\mathrm { x } = \sin \mathrm { t } , \mathrm { y } = \cos \mathrm { t } ; \mathrm { t } = \frac { 2 \pi } { 3 }$