Two points have polar coordinates as follows: θ=130°,r=.35 (point A) and θ=70°,r=.6 (point B). There is a surrounding circle, r=1, that acts as a mirror, and you wish to send a light ray from point A to point B by bouncing it once off the circle. What two alternative directions could you send it in (use an angular measure paralleling the θ coordinate it would have if directed from the origin)?

(In reply to

my first thoughts by drew)

The angle of reflection here can be found using the standard reflection property, angle of incidence equals angle of reflection. These angles are based around a tangent to the circle at the point of reflection. This can also be found by measuring aroung a radius to the point of reflection. The angle between where the light hits the reflection point and the radius will be the same as the angle that the light travels out on the other side of the radius.

Just thought this might help...