Exploration with sine and cosine of sums of angles
Directions:
Assume that the radius of the red arc is "r".
1. Write expressions for the x and y coordinates of the points A and B. If it helps, you can toggle the button and it will show right triangle that may help visualize the coordinates for you. Also note, the angle that reaches point B, is . Label the sides of these triangles on the diagram.
2. Now use the sides of the two smaller triangles to find a way to write the (x,y) coordinates for the point C.