# Period, amplitude, and viewing rectangle

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 Preview

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 Summary

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

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