Answer: The correct answer is (2,5π/4).
Step-by-step explanation:
The correct polar coordinates of the point (-√2, -√2) are (r, θ) = (2, 5π/4).
Step-by-step explanation:
Using the formulas for converting Cartesian coordinates to polar coordinates:
r = √(x^2 + y^2)
θ = atan2(y, x)
Plugging in the given values:
r = √((-√2)^2 + (-√2)^2)
= √(2 + 2)
= √4
= 2
θ = atan2(-√2, -√2)
= 5π/4 radians
So, the correct polar coordinates of the point (-√2, -√2) are (r, θ) = (2, 5π/4).