Question

Find the value of cos θ for the angle shown. The picture shows (4,-radical 33) in Quadrant 4.

Answer 1

you need the hypotenuse of that right triangle
via pythagoras it is
\[\sqrt{4^2+\sqrt{33}^2}=\sqrt{16+33}=\sqrt{49}=7\]

Answer 2

now you can take any trig ratio you like, sine, cosine, tangent, whatever