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Chapter 14: Q21. (page 767)

Find the amplitude if it exists and period of the function y=sin4胃 and then graph the function.

Short Answer

Expert verified

The amplitude of y=sin4胃is 1.

The period of y=sin4胃 is 蟺2.

Step by step solution

01

Step 1. Write down the given information.

The given function is y=sin4胃.

02

Step 2. Concept used.

A function of the form y=asinbxandy=acosbx has amplitude of a and period 360掳bor2蟺b.

03

Step 3. Evaluating amplitude and period of the given function.

With the help of concept stated above, the amplitude and period of the function is evaluated as:

The amplitude of y=sin4胃is 1=1.

The period of y=sin4胃is 2蟺4=蟺2.

04

Step 4. Sketch the graph for the function.

The graph for the function y=sin4胃 is shown below.

05

Step 5. Conclusion.

The amplitude of y=sin4胃is 1.

The period of y=sin4胃 is 蟺2.

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