Question

The rectangular coordinates of a point are given. Find polar coordinates for the point.

1. (4,0)
2.(3,4)
3.(2,-2)

Answer 1

Rectangular to polar:
\[r=\sqrt{x^2+y^2}\]
\[\theta=\tan^{-1} \frac{ y }{ x }\]
Polar to rectangular
\[x=r \cos \theta\]
\[y = r \sin \theta\]

Answer 2

I think I got it. Is 1. (4,0) 2. (5,53.1) 3. sqrt8,45) ?

Answer 3

1 and 2 are good. For 3, (2, -2) is in the 4th quadrant, so the angle would be -45° or one of its coterminal angles.

Answer 4

alright thanks:)

Answer 5

you're welcome