Can it be shown that gives a conic

Joey Rodgers 2022-03-18 Answered
Can it be shown that gives a conic section?
r2=11εcos(2θ)
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Answers (1)

PCCNQN4XKhjx
Answered 2022-03-19 Author has 8 answers
Step 1
Rewrite it as
r2(1ϵcos(2θ))
=1r2(1ϵ(cos2θsin2θ))=1
and then expand. We have
r2=x2+y2, r2cos2θ=x2
and
r2sin2θ=y2
so we get the traditional equation of an ellipse or a hyperbola.
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