How do you sketch the angle whose terminal side in standard position passes through #(2,-sqrt5)# and how do you find sin and cos?
Letting the angle be
Draw a diagram:
Since the angle between the two known sides is right, we can use pythagorean theorem to determine the length of the hypotenuse.
Let the hypotenuse be
A negative hypotenuse is impossible, so
Note that the angle in standard position would be the angle of the triangle opposite the
Let the angle be
Hopefully this helps!