What is the period and amplitude for #y = 7cos (4pix-2)#?

1 Answer
Jun 2, 2015

You can "read" these information from your function:
The Amplitude is #7# meaning that your #cos# oscilates between #+7# and #-7#.
The Period can be found using the #4pi# multiplying the #x# in the argument of #cos# as:
period=#(2pi)/color(red)(4pi)=1/2#

Graphically you can see these information plotting your function:
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