I am attempting to define the rotation angle of an ellipse about the cartesian coord frame @ (0,0). I am pretty sure the slope of the tangency vector @ both the major & semi-major axis is orthogonal to the vector originating from the origin from (0,0) with a length of a or b depending on which axis I am using.
My thought was in the case of the major axis that x = a*cos(theta) & the slope of the vector emanating from the origin is tan(theta). So if I set dy/dx = -1/tan(theta & substitute x = acos(theta) I can resolve theta?
My results do not seem to be working. Anyone have any insight? I will try to upload my image of my derivation.
