Find the rectangular coordinates of the point with the given polar coordinates.
-$( 5 , \pi )$
A) $( 5,0 )$
B) $( - 5,0 )$
C) $( 0 , - 5 )$
D) $( 0,5 )$

Question

Quizplus · Accepted Answer

The polar coordinates $(r, \theta) = (5, \pi)$ translate to rectangular coordinates using the formulas $x = r \cos(\theta)$ and $y = r \sin(\theta)$. Here, $x = 5 \cos(\pi) = -5$ and $y = 5 \sin(\pi) = 0$, making the rectangular coordinates $(-5, 0)$.

Find the Rectangular Coordinates of the Point with the Given (5,π)( 5 , \pi )(5,π)

Find the Rectangular Coordinates of the Point with the Given $( 5 , \pi )$