We want to see which of the given polar coordinates are equivalent to the given ones.
The two equivalent pairs are:
(2, -60°) → (2, 300°)
(-2, 240°) → (-2, -120°)
Polar coordinates symmetry.
Polar coordinates have a given period, such that:
A polar coordinate (R, θ) is equivalent to (R, θ + n*360°) where n is an integer number.
So if we have the polar coordinate:
(2, -60°), an equivalent polar coordinate can be (2, -60° + n*360°)
if we get n = 1 then we have:
(2, -60° + 360°) = (2, 300°)
So the equivalent polar coordinate is (2, 300°).
For the other polar coordinate we have (-2, 240°) is equivalent to something like (-2, 240° + n*360°)
For example, with n = -1 we have:
(-2, 240° - 360°) = (-2, -120°)
Then the two equivalent pairs are:
(2, -60°) → (2, 300°)
(-2, 240°) → (-2, -120°)
If you want to learn more about polar coordinates you can read:
https://brainly.com/question/14965899
