Find the Cartesian coordinates of the given point.
-$$\left( 3 , \frac { 1 } { 2 } \pi \right)$$

Question

Quizplus · Accepted Answer

The given point is in polar coordinates $(r, \theta) = (3, \frac{1}{2}\pi)$. To convert to Cartesian coordinates $(x, y)$, use $x = r\cos\theta$ and $y = r\sin\theta$. Here, $\cos(\frac{1}{2}\pi) = 0$ and $\sin(\frac{1}{2}\pi) = 1$, so $x = 3\cdot0 = 0$ and $y = 3\cdot1 = 3$, making the Cartesian coordinates $(0, 3)$.

Find the Cartesian Coordinates of the Given Point (3,12π)\left( 3 , \frac { 1 } { 2 } \pi \right)(3,21​π)

Find the Cartesian Coordinates of the Given Point $\left( 3 , \frac { 1 } { 2 } \pi \right)$