Lets Analyze the Problem

How to Calculate The Coordinates of a Point On The (Round) Mirror?

image missing

Rradius of mirror
θangle (up or down)
(X,Y)center of round mirror
X'change in X (cos(θ) * R)
Y'change in Y (sin(θ) * R)
Note: The angle θ is input by the user in degrees. Python sin and cos require radians.

The Tangent Line to a Point On The (Round) Mirror

image missing
Note: The tangent line to a point on the (round) mirror is always at a right angle (90°) to the radius line.

Angle of Incidence?

image missing

Equations That Might Be Useful

  • A line
  • A line thru two specified points
  • The tangent to a point on a circle
  • The intersection point of two lines
  • The line perpendicular to another line
  • A line thru a specified point that is perpendicular to another line
    • google them?