Anyone who has taken trig knows that the cosine squared of an angle plus the sine squared of an angle equals one. I took trig so long ago that I’ve forgotten why that’s the case, but I’m sure it has something to do with the Pythagorean Theorem,
Any true mathematician will give you a nice elegant proof of why this is true. For many purposes, however, a “Good Enuf” proof should suffice. I’ve modeled out the equations and plotted the terms and their sum to convince myself that the cosine squared of an angle plus the sine squared of an angle does, in fact, actually equal one.
Here is a link to the workbook that “proves” the point. Sorta.