Question

TRUE or FALSE:

1. The two points (-4,pi) and (4, -pi) represent the same point in polar coordinates.

Answer 1

False

Explanation:

They are two different points. A way to check it is changing to cartesian coordinates, the formula to change from polar to cartesian is:

`x = rcos(\theta)\\y = rsin(\theta)`

For the point
`(-4, \pi)`

`x_1=-4cos(\pi)=4\\y_1=-4sin(\pi)=0`

For the point
`(4,-\pi)`

`x_2=4cos(-\pi)=-4\\y_2=4sin(-\pi)=0`

`(4,0)\\eq (-4,0)`