Consider the trigonometric function f(t) =

-3+4cos(pi/3(t-3/2))
What is the amplitude/period of f(t)?
What are the maximum and minimum values attained by f(t)?

1 answer

the amplitude is 3

you can determine the max/min by simply observing the properties of the cosine curve

the max of cos(anything) is 1 and its minimum is -1
so max of 4cos(.....) is s4 and its minimum is -4
so max of -3 + 4cos(....) is 1 and its min is -7
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