Question

The polar form of (-1,√3) is(___,___)

Answer 1

Answer: (2, 120°)

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

Answer 2

(2, 2/3 * pi)

Explanation:

( -1, sqrt(3))

to find the radius

sqrt(x^2 + y^2) = r

sqrt( (-1)^2 + (sqrt3)^2) = r

sqrt(1+3) =r

sqrt(4) =r

2=r

to find theta

theta = arctan (sqrt(3)/-1)

theta = -60 degrees

you need theta between 90 and 180

add 180 to theta

theta = 120

you need theta in radians

120 * pi/180 = 2/3 * pi