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The amplitude of the graphs of the sine and cosine functions is , and the period of each

Chapter 4, Problem 1

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QUESTION:

The amplitude of the graphs of the sine and cosine functions is , and the period of each is .

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QUESTION:

The amplitude of the graphs of the sine and cosine functions is , and the period of each is .

ANSWER:

Step 1 of 2

Let  and

The amplitude of a periodic function is half the difference between the maximum and minimum values.

Maximum value of is 1.

Minimum value of is -1.

Amplitude will be as follows:

Maximum value of is 1.

Minimum value of is -1.

Amplitude will be as follows:

Hence, amplitude of sine and cosine function is 1.

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