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Identify each polar equation and test for symmetry.

Let t = theta

(1) r^2 = sin2(t)

(2) r = 4 cos3(t)

2007-08-07 23:24:21 · 1 answers · asked by journey 1 in Science & Mathematics Mathematics

1 answers

x^2+y^2= 2xy /(x^2+y^2)
(x^2+y^2)^2=2xy symmetrical with respect to (0,0)
cos3t =cos(2t+t) = cos2t*cost-sin2t*sint=
(cos^2t-sin^2)cost -2sin^2tcost = [(x^2-y^2)x-2y^2x]r^3
r^4=4(x^3-3y^2x)
(x^2+y^2)^2 =4x(x^2-3y^2) symmetrical x axis

2007-08-08 02:50:01 · answer #1 · answered by santmann2002 7 · 0 0

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