Is there any way to express $\theta=c$ as some function of $r$?

Question

I recently found this: Desmos Graphing calculator. I tried to plot the equation $\theta=45$ but it gave me an error:

Sorry, you can't graph $\theta$ as a function of anything yet.

So I started thinking that how can I make it a functionn of $r$? I tried a lot but I couldn't do it. So please tell how can I make it a function of $r$?

Answer 1

As a workaround, you can convert to Cartesian coordinates. For example, if you want to plot $\theta = 45^\circ$, then you can instead plot: $$ y = \left( \tan \left(45^\circ \cdot \frac{\pi}{180^\circ} \right) \right)x $$ where we made sure to convert from degrees to radians.

Answer 2

Desmos will draw a plot when you give it the expression $r = \theta,$ but not when the expression is written $\theta = r.$ So the answer is, no, if $\theta = 45$ you can't express $\theta$ as a function of $r,$ and even if you could, it would not help you.

Answer 3

I think that this is the answer that you were looking for $$r \in R$$