Question

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

Answer 1

I found: `tan(theta)=1`

Explanation:

Consider the following diagram:

We can see that the relationships between rectangular and polar coordinates are:
`r=sqrt(x^2+y^2)`
`theta=arctan(y/x)`
and:
`x=rcos(theta)`
`y=rsin(theta)`

Given our expression:
`y=x`
you have:
`cancel(r)sin(theta)=cancel(r)cos(theta)`
and write:
`tan(theta)=1`