How do you find the amplitude and period of #y=3cospix#?

1 Answer
Fleur
Jul 26, 2017

The amplitude of the function is #3# and the period is #2#.

Explanation:

The standard form of a cosine function is #y=acos(bx + c) + d#, where #a# is the amplitude, #c# is the horizontal shift, and #d# is the vertical shift.

In this equation, #a = 3#, #b = pi#, #c = 0#, #d = 0#.

The period of a cosine (and sine) function is #(2pi)/abs(b)#.
#(2pi)/abs(b) = (2pi)/abs(pi) = 2#

So, the amplitude of the function is #3# and the period is #2#.

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