Asked by Liv
Convert cartesian equation to polar form
1. x^2+y^2=4x
2. (x^2+y^2)^2=6(x^2-y^2)
1. x^2+y^2=4x
2. (x^2+y^2)^2=6(x^2-y^2)
Answers
Answered by
Steve
These take some practice, but you soon learn the tricks of thinking...
#1
r^2 = 4r cosθ
r = 4cosθ
#2
(r^2)^2 = 6(r^2 cos^2θ - r^2 sin^2θ)
r^2 = 6(cos^2θ - sin^2θ)
r^2 = 6cos(2θ)
#1
r^2 = 4r cosθ
r = 4cosθ
#2
(r^2)^2 = 6(r^2 cos^2θ - r^2 sin^2θ)
r^2 = 6(cos^2θ - sin^2θ)
r^2 = 6cos(2θ)
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