How do you convert $5x=5y$ to polar form?

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Answer 1 · 2016-10-13T10:36:21

$5x=5y$ in polar form is $theta=pi/4$

Relation between Cartesian coordinates $(x,y)$ and polar coordinates $(r,theta)$ is given by

$x=rcostheta$ and $y=rsintheta$

Hence $5x=5y$ in polar form can be written as

$5rcostheta=5rsintheta$

or $costheta=sintheta$

or $tantheta=1$

How do you convert 5x=5y5x=5y to polar form?