Answer: The Correct answer is E (2,pie/6)
Explanation:
To find the polar coordinates of a point given its Cartesian coordinates (x, y), we can use the following formulas:
r = √(x^2 + y^2)
θ = atan2(y, x)
where r is the radial distance from the origin to the point, and θ is the angle measured counterclockwise from the positive x-axis to the line connecting the origin and the point.
Given the Cartesian coordinates (x, y) = (√3, 1), we can plug these values into the formulas to find the polar coordinates:
r = √(√3^2 + 1^2) = √(3 + 1) = 2
θ = atan2(1, √3)
Using a calculator, we can find that θ is approximately 0.5236 radians.
So, the polar coordinates of the point (√3, 1) are (r, θ) = (2, 0.5236 radians).