without graphing the function y = -2cos(5x) determine its amplitude, period and section width
Solution-
Consider the function
y = -2cos(5x) ...(1)
We know that the standard cosine function is
y = Acos(Bx) ...(2)
Here, |A| = Amplitude and Period = 2π/B
On comparing equations (1) and (2), we get
A = -2 and B = 5
So,
Amplitude = |A| = |-2| = 2
Period = 2π/B = 2π/5
Section width = Period/2 = (2π/5)/2 = π/5
Hence,
Amplitude = 2 ,Period = 2π/5 and Section Width = π/5 .
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