Question

Write the polar coordinates (3, π) in rectangular form.

Answer 1

$\bf (\stackrel{\stackrel{r}{\downarrow }}{3}~~,~~\stackrel{\stackrel{\theta }{\downarrow }}{\pi })~~\begin{cases}x=rcos(\theta )\\y=rsin(\pi )\end{cases}\implies [3cos(\pi )~~,~~3sin(\pi )]\\[2em][3(-1)~~,~~3(0)]\implies \boxed{(-3,0)}$