If all you are asking for is the maximum and minimum values for ω(t), the maximum and minimum values for any cosine function are going to be +1 and -1.
maximum value = 8(1) + 10 = 18
minimum value = 8(-1) + 10 = 2
if you are looking for the values of t associated with the maximum and minimum.
max occurs when x=0
14πt + 7 = 0
14πt = -7
t = -1/(2π)
min occurs when x = π
14πt + 7 = π
14πt = π - 7
t = (π - 7)/14π
both values of t provided above represent a single value, but the function is periodic and the maximum and minimum will repeat every +(1/7)m.
(I used m as the variable because in this typeface n looks too much like pi.)
Elwyn D.
tutor
That is what I read. That was π (pi) in the answer. I would have used n (en) as the variable when writing an equation, but I wanted to be absolutely clear. I really wish their font for pi was a little bit more distinct.
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04/13/16
Sky B.
04/13/16