Chapter 10 - Conics, Parametric Equations, and Polar Coordinates - 10.4 Exercises - Page 722: 8

Rectangular coordinates: $(0,3 )$ -------

In polar coordinates, the first number represents the value for $r$, and the second number represents the value for $\theta$. $(-3, -1.57)$ Thus: $r = -3$ and $\theta = - 1.57$ Knowing that $x = rcos(\theta)$ and $y = rsin(\theta):$ $x = rcos(\theta) = (-3)(cos(-1.57)) \approx 0$ $y = rsin(\theta) = (-3)(sin(-1.57)) \approx 3$