3D circular position relative to center

Hello!

I want to create lasers similar to these:

(about 19 seconds in). I'm using linerenderer, but I don't know how to calculate the end point of the lasers. I have my "laser emitter" which is the point where the lasers should start. But how would I calculate the end points?

I'm thinking the position straight forward from the emitter is the reference point, and then a laser can be a certain amount of degrees from the reference in the two directions (two angles, one for each direction) on the plane perpendicular to the emitter. I tried to use spherical coordinates but couldn't figure it out. Is there a good way to do it using quaternions?

Thanks for the help!

 

Have you thought about using tools like Visual Effect Graph? It would be suited for this kind of stuff.

 

Oh I will check that out, thanks!