That’s a very friendly-looking circle, right? The center is at the origin, and
the radius is 1. What could be nicer? So here’s the neat trick, and by “neat trick”
we mean “terribly intimidating basis for much of trigonometry”: Any radius in
the unit circle is also the hypotenuse of a right triangle with a horizontal leg of
cos(θ) and a vertical leg of sin(θ). Take a look.
The only information we are given is that our angle (θ) is 50 degrees. But
with just that information, we can find the coordinate (x,y) using trig. Here’s
how.