Precalc Question

Question

Answer 1

If tan(x) = -2, then x = -63.435 degrees (or 296.57 degrees)

cos(x) = .447

Answer 2

Draw a picture...

If the tangent is -2, then it means the line goes down 2 units (-y) for every 1 √unit in +x

Using the pythagorean theorem, we get √5 for the hypotenuse.

The cosine of the angle from the x-axis is simply 1 / √5