Question

Find the corresponding rectangular coordinates for the point. Point in polar coordinates(5, -7pi/6)

Answer 1

We have the next point

$\mleft(5,-7\pi/6\mright)$

We have the next formula to convert the polar coordinate to rectangular coordinates

$\begin{gathered} x=r\cos (\theta) \\ y=r\sin (\theta) \end{gathered}$

Then w substitute the values

$x=5\cos (-\frac{7\pi}{6})$$y=5\sin (-\frac{7\pi}{6})$

Therefore

$x=\frac{-5\sqrt[]{3}}{2}=-4.33$$y=\frac{5}{2}=2.5$

ANSWER

x=-4.33

y=2.5