# How do you sketch the angle whose terminal side in standard position passes through #(2,-sqrt5)# and how do you find sin and cos?

##### 1 Answer

Aug 31, 2016

Letting the angle be

#### Explanation:

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!