can I just nerd the heck out for a split second

look how these are drawn, I like how the point which draws a wave parallel to the circle is a sine wave (bottom) but the one drawing the cos wave is perpendicular, if that makes sense, and if you do trig waves a lot you'd know a cos wave starts at one and a sine wave at zero and they use 360 degrees as their period but if you overlap them they are the exact same shape, and you CAN overlap them by adding or subtracting 90 degrees (which is a perpendicular angle fyi)
it makes me think that when you do (sin or cos) sin(x - angle) the angle dictates how offset the drawing line angle will be, and thus shifts the graph by the exact same angle, and that's a really neat relationship I like to think about
I want to go on about the unit circle as well but I'm not sure how tan works, I hate the tan function it's the Riddler of maths