Question

Select the correct answer.

(1, √3) to polar form.

A. (√3, 30°)
B. (2,60°)
C. (4,30°)
D. (2,240°)

Answer 1

(2, 60°)

Explanation:

A point in polar form (a,b) is represented by a radius and an angle (r, ϴ). To convert, use the formula r² = a² + b² to get r, and
`tan^(-1)`(b/a) = ϴ

`r = \sqrt{1^(2) + √(3) ^(2) }`

`r = √(1+3)`

`r = √(4)`

= 2

`tan^(-1)`(
`√(3)`/1) = ϴ

= 60°