How do you write the equation using polar coordinates given $x^{2} + y^{2} = x$ $x^2+y^2=x$ ?

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Answer 1 · 2016-08-28T23:50:20

$r = cos θ$ $r = cos theta$

Using the pass equations

${ (x = r cos theta), (y=r sin theta) :}$

after the substitution

$r^2 cos^2 theta + r^2sin^2theta = r cos theta$

or

$r^2=r cos theta$

Finally

$r = cos theta$

How do you write the equation using polar coordinates given x^2+y^2=xx2+y2=xx^2+y^2=x?