Question

Which set of rectangular coordinates describes the same location as the polar coordinates (4,pi)?

Answer 1

Answer:

(-4,0)

Step-by-step explanation:

Answer 2

$\bf (\stackrel{r}{4}~,~\stackrel{\theta }{\pi })\qquad \begin{cases} x=&rcos(\theta )\\ &4cos(\pi )\\ &4(-1)\\ &-4\\ y= &rsin(\theta )\\ &4sin(\pi )\\ &4(0)\\ &0\\ \end{cases}\qquad \implies (\stackrel{x}{-4}~,~\stackrel{y}{0})$