How do you find the amplitude and period of #y=1/2cos3theta#?

1 Answer
Jan 23, 2017

Amplitude: #1/2#

Period: #T = (2 pi )/ 3#

Explanation:

You can see that the function has amplitude #1/2# by inspection, ie it is #y = color(red)(1/2) cos 3 theta# so it oscillates as #y in [-1/2, 1/2]#.

In terms of the period, a sine function that is in form #y = sin omega theta# has period #T = (2 pi )/ omega#. In this case, it has period #T = (2 pi )/ 3#.