Question

Select the correct answer.
(1, √3) to polar form.

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

Answer 1

Answer:

(2, 60°)

Step-by-step 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

$r = \sqrt{1^{2} + \sqrt{3} ^{2} }$

$r = \sqrt{1+3}$

$r = \sqrt{4}$

= 2

$tan^{-1}$($\sqrt{3}$/1) = ϴ

= 60°