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Which five curves are named as the classic polar curves?
ACardioids, ellipses, lemniscates, roses, spirals
BCardioids, limacons, lemniscates, roses, spirals
CCardioids, limacons, parabolas, roses, circles
DCardioids, limacons, lemniscates, roses, lines
Answer & Solution
Correct answer: B. Cardioids, limacons, lemniscates, roses, spirals
1. Polar equations produce shapes that rectangular forms describe only awkwardly.
2. Five of them are singled out as the classic polar curves.
3. They are the cardioids, the limacons, the lemniscates, the rose curves and the spirals.
4. The circle appears too, but it is treated separately from these five.
_Source: OpenStax Precalculus (CC BY 4.0), Ch 8 "Further Applications of Trigonometry", section 8.4 Polar Coordinates: Graphs_