How do you graph #y=2cos3x#?

1 Answer
Sep 19, 2015

Graph it to see what it looks like.

Explanation:

For a cosine function of the form #y = Acos(Bx)#, #A# is the amplitude (maximum absolute value), and #B# is the number of cycles completed every #2pi# interval (or one cycle every #(2pi)/B# interval).

For this function, the amplitude is #2#, giving the oscillation between #-2# and #2#, and the cycle period is #(2pi)/3 ~~ 2.09#.

The graph looks like this:

graph{2cos(3x) [-4, 4, -2.5, 2.5]}