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

Jun 1, 2016

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

#### Explanation:

The pass equations are

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

then

$r \cos \left(\theta\right) = r \sin \left(\theta\right)$ or $\tan \left(\theta\right) = 1$

Solving for $\theta$ we have $\theta = \frac{\pi}{4} + \pi k$ with $k = 1 , 2 , \ldots$

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