How do you determine the amplitude for #y= sin 4 x#?

1 Answer
Apr 20, 2015

Every time you have a trigonometric function have a look at the number that is multiplying it, basically the number "in front" of it:
In this case you have:
#y=1*sin(4x)# we do not write it but there is a #1# there. That represents your AMPLITUDE !!!!
So this function is oscillating between #+1# and #-1#.
The #4# in front of #x# is used to find the Period of your function as:
#k=(2pi)/(period)# with #k=4# giving #period=pi/2#.