explain the key features of the graph of the cosine function
The trigonometric functions have features that are worthy of note. Among these features are the period and the amplitude. The graph of f(x)=cos x repeats itself along the x-axis by a certain distance. This distance is called the period. For the cosine function, the period is 2pi radians. It can also be observed that the graph goes up and down by a certain distance. This distance is called the amplitude. For the curve of f(x)=cos x, the amplitude is 1. The main difference between a cosine function and a sine function is that the former is symmetric with respect to the y-axis while the latter is symmetric with respect to the origin.
The cosine function . . .
-- Starts at '1' when the angle is zero, and
proceeds downward from there.
-- From there, it is a smooth curve that wiggles
up and down as the angle increases.
-- The function wiggles up and down between
the limits of +1 and -1.
-- It crosses the x-axis every time the angle increases
by 180° (π radians).