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Period, amplitude, and viewing rectangle

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Determine the period and amplitude of the function.Then describe the viewing rectangle

1-y=3/2cos x/2

2-y=2/3cos pi x/10

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Solution Summary

This shows how to determine the period and amplitude and describe the viewing rectangle

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1-y = (3/2)*cos(x/2)
=> y = 1 - (3/2)*cos(x/2)
because cos(x) has period 2*pi
hence,
x/2 = 2*pi
=> x = 4*pi, i.e., period of this function is 4*pi --Answer
because, cosine function has range [-1,1], hence,
1-(3/2)*cos(x/2) will have range [-1/2, 5/2]
mean position = 1
hence amplitude = 5/2 -1 = ...

Solution provided by:

Amrit Lal Ahuja, PhD (IP)

Education

BEng, Allahabad University, India
MSc , Pune University, India
PhD (IP), Pune University, India

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