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College Algebra & Trigonometry, 2018a

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9.2. GRAPHING TRIGONOMETRIC FUNCTIONS 409<br />

Exercises 9.2<br />

Determine the amplitude and the period for each problem and graph one period<br />

of the function. Identify important points on the x and y axes.<br />

1. y =cos4x 2. y = − sin 2x<br />

3. y =3sin3x 4. y = −2cos5x<br />

5. y =4cos 1 2 x 6. y =2sin1 3 x<br />

7. y = − 1 2 sin 2 3 x 8. y = −3cos 3 5 x<br />

9. y = −4sin6x 10. y =3sin4x<br />

11. y =2cos 3 2 x 12. y =3cos5 3 x<br />

Determine an equation that satifies the given graph.<br />

1<br />

2<br />

−1<br />

0<br />

π<br />

6<br />

π<br />

3<br />

π<br />

2<br />

2π<br />

3<br />

0<br />

π<br />

8<br />

π<br />

4<br />

3π<br />

8<br />

π<br />

2<br />

13.<br />

14.<br />

−2

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