847 8.7 Polar Equations and Graphs Polar Graphs and Forms of Equations Circles and Lemniscates Circles Lemniscates r =a cos U r =a sinU r2 =a2 sin2U r2 =a2 cos 2U Limaçons r =a tb sinU or r =a tb cos U a b * 1 a b =1 1 * a b * 2 a b # 2 Rose Curves 2n leaves if n is even, n Ú 2 n leaves if n is odd n = 2 n = 4 n = 3 n = 5 r =a sinnU r =a cos nU r =a cos nU r =a sinnU 8.7 Exercises CONCEPT PREVIEWFill in the blank to correctly complete each sentence. 1. For the polar equation r = 3 cos u, if u = 60°, then r = _____. 2. For the polar equation r = 2 sin2u, if u = 15°, then r = _____. 3. For the polar equation r2 = 4 sin2u, if u = 15°, then r = _____. 4. For the polar equation r2 = -2 cos 2u, if u = 60°, then r = _____.
RkJQdWJsaXNoZXIy NjM5ODQ=