For , define as above. What is ?
Find the angle (in degrees) of intersection of the curves
Details and Assumptions:
Let
The value of at can be expressed as where and are coprime positive integers.
Find the value of
As shown above is the elliptical graph of , where and are the points on the graph with minimum and maximum coordinates respectively, and the red line is the linear graph passing through and .
If the tangent parallel to line touches the graph at a point for some real numbers , compute .