Question

Convert (-3,0) to polar form.

A. (3,0’)
B. (-3,180’)
C. (3,180’)
D. (3,360’)

Answer 1

Answer: Option C. (3,180°)

Step-by-step explanation: I got this right on Edmentum.

Answer 2

Option C. (3,180°)

Explanation:

Rectangular form: (-3,0)=(x,y)→x=-3, y=0

Polar form: (r,α)

`r=\sqrt{x^(2)+ y^(2) }`

Replacing the known values:

`r=\sqrt{(-3)^(2)+0^(2) }\\ r=√(9+0)\\ r=√(9)`

`r=3`

x=-3<0 (-), then

`\alpha=tan^(-1) ((y)/(x))+180{\°}`

Replacing the known values:

`\alpha =tan^(-1) ((0)/(-3))+180{\°}\\ \alpha=tan^(-1) (0)+180{\°}\\ \alpha=0^(\°)+180^(\°)`

`\alpha=180^(\°)`

Then, the polar form is: (r,α)=(3,180°)