Nanababy3837 Nanababy3837
  • 07-08-2019
  • Mathematics
contestada

TRUE or FALSE:

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

Respuesta :

LRev
LRev LRev
  • 19-08-2019

Answer:

False

Step-by-step 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:

[tex]x = rcos(\theta)\\y = rsin(\theta)[/tex]

For the point [tex](-4, \pi)[/tex]

[tex]x_1=-4cos(\pi)=4\\y_1=-4sin(\pi)=0[/tex]

For the point [tex](4,-\pi)[/tex]

[tex]x_2=4cos(-\pi)=-4\\y_2=4sin(-\pi)=0[/tex]

[tex](4,0)\neq (-4,0)[/tex]

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