Question

Find the rectangular coordinates of the point with the polar coordinates (1, 1 divided by 2 pi )

Answer 1

(x, y) = (0, 1)

Explanation:

For polar coordinates (r, θ), the corresponding rectangular coordinates are ...

(x, y) = (r·cos(θ), r·sin(θ))

For r=1 and θ=π/2, the rectangular coordinates are ...

(x, y) = (1·cos(π/2), 1·sin(π/2))

(x, y) = (0, 1)