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 (-(7\pi)/(6))`
`y=5\sin (-(7\pi)/(6))`

Therefore

`x=\frac{-5\sqrt[]{3}}{2}=-4.33`
`y=(5)/(2)=2.5`

ANSWER

x=-4.33

y=2.5