Mathematical Ellipse Diagram with Labels

This diagram presents a mathematical illustration of an ellipse, shown in blue, with a concentric red ellipse outlined within it. A Cartesian coordinate system serves as the backdrop, centered at point C. A right-angled triangle BCF is featured, with its right angle at C. The hypotenuse, connecting points B and F, is denoted by 'a'. The vertical side, BC, is labeled 'a cos(α)', while the horizontal side, CF, is 'a sin(α)', where α is the angle at vertex B. The image effectively demonstrates trigonometric relationships within the context of an elliptical shape.

ellipse - geometry - mathematics - trigonometry - diagram - coordinates