IntroPolar
Rose Curve
r = a·cos(nθ)
Overview
Rose curves create beautiful petal patterns. The number of petals depends on n.
Domain
θ ∈ [0, 2π]
Range
r ∈ [-a, a]
Key Properties
1
n petals if n is odd
2
2n petals if n is even
3
a = maximum radius
4
Symmetry about x-axis for cos, y-axis for sin
Key Insight
Try r = a·cos(4θ) for an 8-petaled flower — perfect for mathematical art!
Visualize Rose Curve
Interact with the graph and explore this curve in the analytic geometry visualizer.