Consider the following polar curves on : • Curve P: • Curve Q: • Curve R: Rank the…

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Consider the following polar curves on

0\le \theta\le \pi

: • Curve P:

r=1

• Curve Q:

r=1+\cos\theta

• Curve R:

r=2\sin\tfrac{\theta}{2}

Rank the curves from largest enclosed area to smallest for this interval, and state one brief reason supporting your ordering.