How do you graph #y= 0.5cos 4x#?

1 Answer
Trevor Ryan.
Sep 17, 2015

For a general trigonometric cosine graph of the form #y=Acosbx#, A is the amplitude, ie the maximum displacement from the x-axis, and #(2pi)/b# is the period, where period is the length on the x-axis for a complete cycle.

So in this case, the amplitude is 0,5 and the period is #(2pi)/4=pi/2#

So in #360^@=2pirad,# the graph will make 4 complete cycles, and will hence look as follows :

graph{0.5cos(4x) [-2.5, 2.5, -1.25, 1.25]}

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