(Solved): Consider the graph of \( r=\theta \) for \( \theta>0 \) given in radians, also known as the Archim ...

Consider the graph of \( r=\theta \) for \( \theta>0 \) given in radians, also known as the Archimedean spiral. Prove that the intersections of this graph with any ray whose initial point is the rigin are equidistant from each other. What is that distance? Here's the picture of a few of these intersection points for a particular ray: