How do you change the rectangular equation $5 y = x^{2}$ $5y=x^2$ into polar form?

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Answer 1 · 2016-11-23T13:26:40

$5 sin θ = r {cos}^{2} θ$ $5sintheta=rcos^2theta$

for polars

$r^{2} = x^{2} + y^{2}$ $r^2=x^2+y^2$
$x = r cos θ$ $x=rcostheta$
$y = r sin θ$ $y=rsintheta$

$5 y = x^{2}$ $5y=x^2$

becomes

$5 r sin θ = r^{2} {cos}^{2} θ$ $5rsintheta=r^2cos^2theta$

$5cancel(r)sintheta=cancel(r^2)^rcos^2theta$

$5sintheta=rcos^2theta$

How do you change the rectangular equation 5y=x^25y=x25y=x^2 into polar form?