[Math] the graph of $r \cos \theta = 3$

calculuspolar coordinates

What is the graph of $r \cos \theta = 3$?

I don't get why there is a $\cos \theta$ in the side of $r$, even if I divide both sides by $\cos \theta$, the right side will be $3/\cos \theta$, which makes no sense. What is the graph of this equation?

Best Answer

Recall that:

  • $x = r \cos \theta$
  • $y = r \sin \theta$

Thus, your equation is simply $x = 3$, a simple vertical line.