Question 869883
*[illustration CARD.JPG].
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Yes, it's straightforward.
{{{x=Rcos(theta)}}}
{{{y=Rsin(theta)}}}
{{{x^2+y^2=(Rcos(theta))^2+(Rsin(theta))^2=R^2}}} <--- That's the real simplifier.
So then,
{{{(x^2+y^2)=(x^2+y^2-x)^2}}}
becomes
{{{R^2=(R^2-Rcos(theta))^2}}}
{{{R=R^2-Rcos(theta)}}}
{{{R(1+cos(theta))=R^2}}}
{{{highlight_green(R=1+cos(theta))}}}
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When {{{theta=0}}}, {{{R=2}}}
When {{{theta=90}}},{{{R=1}}}
When {{{theta=180}}},{{{R=0}}}
When {{{theta=270}}},{{{R=1}}}
And finally back to {{{t=360}}}, {{{R=2}}}
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Once you have {{{R}}} and {{{theta}}}, you can convert back to x and y to plot.