How do you convert $y = x$ $y=x$ into polar form?

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Answer 1 · 2016-06-01T14:09:10

The polar representation of straight $y = x$ $y = x$ is $θ = \frac{π}{4} + π k$ $theta = pi/4 + pi k$ with $k = 1,2,3,...$

The pass equations are

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

then

$r cos(theta) = r sin(theta)$ or $tan(theta) = 1$

Solving for $theta$ we have $theta = pi/4 + pi k$ with $k = 1,2,...$

The polar representation of straight $y = x$ is $theta = pi/4 + pi k$ with $k = 1,2,3,...$

How do you convert y=xy=x y=x into polar form?