For the function given, state the middle line: ƒ (t) = 40cos (80t + 20).

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Mathematics

9 August, 11:46

For the function given, state the middle line: ƒ (t) = 40cos (80t + 20).

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Luna Griffin · Answer 1

The answer is y=0

The amplitude is 40 since y=Acos (B) + C has amplitude A and vertical shift C. The vertical shift is C=0 and B = 80t+20 is related to horizontal frequency and shift. This means the graph of the cosine will oscillate between - 40 and 40. The middle line will therefore be the line y=0.