Converting Polar Coordinates

Convert the following polar coordinates to rectangular coordinates: (8, 2π/3)

(-4, 4√3)

Convert the following polar coordinates to rectangular coordinates: (5, π)

(-5,0)

Convert the following polar coordinates to rectangular coordinates: (10, 7π/6)

(-5√3, -5)

Convert the following polar coordinates to rectangular coordinates: (12, 4π/3)

(-6, -6√3)

Convert the following polar coordinates to rectangular coordinates: (3, π/2)

(0, 3)

Convert the following polar coordinates to rectangular coordinates: (2, -π/3)

(1, -√3)

Convert the following polar coordinates to rectangular coordinates: (2, π/3)

(1, √3)

Convert the following rectangular coordinates to polar coordinates: (5, -5√3)

(10, 5π/3)

Convert the following rectangular coordinates to polar coordinates: (-5√12, 5√12)

(10√6, 3π/4)

Convert the following polar coordinates to rectangular coordinates: (12, 0)

(12, 0)

Convert the following rectangular coordinates to polar coordinates: (6, 6√3)

(12, π/3)

Convert the following rectangular coordinates to polar coordinates: (-√3, 1)

(2, 5π/6)

Convert the following rectangular coordinates to polar coordinates: (12, -12√3)

(24, 5π/3)

Convert the following polar coordinates to rectangular coordinates: (-4, 5π/4)

(2√2, 2√2)

Convert the following rectangular coordinates to polar coordinates: (3, -3)

(3√2, 7π/4)

Convert the following rectangular coordinates to polar coordinates: (-2√3, 2)

(4, 5π/6)

Convert the following rectangular coordinates to polar coordinates: (2√3, 2)

(4, π/3)

Convert the following rectangular coordinates to polar coordinates: (5, -5)

(5√2, 7π/4)

Convert the following polar coordinates to rectangular coordinates: (5, π/4)

(5√2/2, 5√2/2)

Convert the following rectangular coordinates to polar coordinates: (3√3, 3)

(6, π/3)

Convert the following polar coordinates to rectangular coordinates: (-7, 3π/4)

(7√2/2, -7√2/2)

Convert the following polar coordinates to rectangular coordinates: (7, π/6)

(7√3/2, 7/2)

Convert the following rectangular coordinates to polar coordinates: (-8, 8)

(8√2, 3π/4)

Convert the following rectangular coordinates to polar coordinates: (-√5, -√5)

(√10, 5π/4)

When given a rectangular coordinate, how do you find r for the polar coordinate?

r=√(x²+y²)

When given a polar coordinate, how do you find x for the rectangular coordinate?

x = rcosθ

When given a polar coordinate, how do you find y for the rectangular coordinate?

y = rsinθ

When given a rectangular coordinate, how do you find θ for the polar coordinate?

θ = arctan(y/x)