MATH SOLVE

3 months ago

Q:
# You know that for any , neither sin nor cos can be greater than 1. how can you explain this using the unit circle definitions of sine and cosine

Accepted Solution

A:

In the unit circle the hypotenuse of the triangle formed is equal to radius of circle , which = 1. The point on the circle formed by the intersection of the hypotenuse is (cos q , sin q) where q is the angle between the x axis and the hypotenuse. As the hypotenuse = 1 the opposite and adjacent sides of the triangle < 1 so sin and cos of q must both be <= 1.