Answer: The correct answer is (5, 11π/6). or C
Step-by-step explanation:
The polar coordinates of the point (x, y) = (5√3/2, -5/2) are (r, θ) = (5, 11π/6).
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 = √((5√3/2)^2 + (-5/2)^2)
= √(75/4 + 25/4)
= √(100/4)
= 5
θ = atan2(-5/2, 5√3/2)
≈ 11π/6 radians
So, the correct polar coordinates of the point (5√3/2, -5/2) are (r, θ) = (5, 11π/6).