PRECALCULUS ADVANCED



PRECALCULUS ADVANCED

WORKSHEET 4.5 D

Write a trigonometric equation (sin or cos) for each of the following graphs.

1.

Amplitude = Period =

Phase shift =

Vertical shift =

Equation = __________________________

2.

Amplitude = Period =

Phase shift =

Vertical shift =

Equation = __________________________

3.

Amplitude = Period =

Phase shift =

Vertical shift =

Equation = __________________________

4.

Amplitude = Period =

Phase shift =

Vertical shift =

Equation = __________________________

5.

Amplitude = Period =

Phase shift =

Vertical shift =

Equation = __________________________

TURN--->>>

Graph three cycles of each function, and find the amplitude, period, phase shift, vertical shift, and range of the graph.

6. [pic] Amplitude = ____ Period = _____ Phase shift = ______________

Vertical shift = ________________ Range = _______________

Evaluate. Do not use your calculator.

7. [pic] 10. [pic]

8. [pic] 11. [pic]

9. [pic] 12. [pic]

Find all values of [pic] in radians, [pic]. Do not use your calculator.

13. [pic] 14. [pic] 15. [pic]

Use your calculator to evaluate.

16. cos 234° = 17. [pic] 18. [pic]

Use your calculator to find all values of [pic] in radians, [pic].

19. [pic] 20. [pic] 21. [pic]

-----------------------

−π

−3

3π/2

−2π

−1

−3

5π/2

π/2

−2π

3

1

−2

3

4π

3π

2π

π

−π/2

−3π/2

4π

x

y

[pic]

[pic]

[pic]

[pic]

[pic]

7π/2

2

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