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Chapter 14: Q5. (page 767)

Find the amplitude if it exists and period of the function y=2sin胃 and then graph the function.

Short Answer

Expert verified

The amplitude of y=2sin胃is 2.

The period of y=2sin胃is 2蟺.

Step by step solution

01

Step 1. Write down the given information.

The given function is y=2sin胃.

02

Step 2. Concept used.

A function of the form y=asinbxandy=acosbxhas amplitude of aand 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=2sin胃is 2=2.

The period of y=2sin胃 is 2蟺1=2蟺.

04

Step 4. Sketch the graph for the function.

The graph for the function is shown below.

05

Step 5. Conclusion.

The amplitude of y=2sin胃is 2.

The period of y=2sin胃 is 2蟺.

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Most popular questions from this chapter

Solve the equation x=sin-11.

State the amplitude, period and phase shift of the function y=14tan胃+22.5掳 and then graph the function.

State the amplitude, period and phase shift of the function y=tan胃+60掳 and then graph the function

Find the amplitude if it exists and period of the function y=12sec3胃 and then graph the function.

CRITICAL THINKING

A function is called even if the graphs of y=f(x)and

y=f(-x) are exactly the same. Which of the six trigonometric functions are

even? Justify your answer with a graph of each function.
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