Polar Coordinates

Question 1

Polar coordinate form (basic)

Answer 1

(r [radius of the circle (distance from origin)], θ)

Question 2

What about if r is negative?

Answer 2

You travel in the opposite direction (clockwise) around the circle for 180 - that number of degrees

Question 3

All points that lead to (r,θ)

Answer 3

(r,θ ± 2nπ) or (-r, θ ± (2n+1)π)

Question 4

(r,θ) 🠮 (x,y)

Answer 4

x=rcos(θ); y=rsin(θ)

Question 5

(x,y) 🠮 (r,θ)

Answer 5

r=√(x² + y²); θ=tan⁻¹(y/x)