G2: Polar Curves

From the DfE Mathematics AS and A-Level Further Maths Content (LINK):

PLAYLIST

Polar Curves

G2-01 Polar Curves: Plotting Points

G2-02 Polar Curves: Converting to Cartesian Form

G2-03 Polar Curves: r=a and θ=k

Limaçons

G2-04 Polar Curves: EXTENSION Limaçons Part 1

G2-05 Polar Curves: EXTENSION Limaçons Part 2

G2-06 Polar Curves: EXTENSION Limaçons Part 3

G2-07 Polar Curves: EXTENSION Limaçons Part 4

G2-08 Polar Curves: Limaçon r=1+2cosθ

G2-09 Polar Curves: Limaçon r=2+2cosθ

G2-10 Polar Curves: Limaçon r=3+2cosθ

G2-11 Polar Curves: Cardioid r=a(1+cosθ)

Rhodonea / Rose Curves

G2-12 Polar Curves: Rhodonea r=2cos(2θ)

G2-13 Polar Curves: Rhodonea r=2cos(3θ)

Further Polar Curves

G2-14 Polar Curves: Spiral of Archimedes r=θ/π

G2-15 Polar Curves: r=√2sec(π/4-θ)