PRECALCULUS ADVANCED



PRECALCULUS ADVANCED

REVIEW WORKSHEET ON 4.2, 4.3, 4.5

No calculator

Evaluate.

1. [pic] 2. [pic] 3. [pic]

4. [pic] 5. [pic] 6. [pic]

8. [pic] 9. [pic] 10. [pic]

11. [pic]

12. [pic]

13. [pic]

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Express each function in terms of its cofunction.

14. sin 50° = 15. [pic]

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Graph each function on the interval [pic], and find the amplitude, period, phase shift, vertical shift, and range of the graph.

16. [pic] Amplitude = ______ Period = _______ Phase Shift = _____________

Vertical Shift = _______________ Range = ________________

17. [pic] Amplitude = ______ Period = _______ Phase Shift = _____________

Vertical Shift = _______________ Range = ________________

18. [pic] Amplitude = ______ Period = _______ Phase Shift = _____________

Vertical Shift = _______________ Range = ________________

__________________________________________________________________________________

Write an equation for the following graphs.

19. 20.

Equation__________________________ Equation_________________________

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

y

x



−3π/2

−π/2

π







3

−2

1

3

−2π

π/2

5π/2

−3

−1

−2π

3π/2

−3

−π

2

7π/2

y

x



−3π/2

−π/2

π







3

−2

1

3

−2π

π/2

5π/2

−3

−1

−2π

3π/2

−3

−π

2

7π/2

y

x



−3π/2

−π/2

π







3

−2

1

3

−2π

π/2

5π/2

−3

−1

−2π؀࠶࠷࠸ࡅࡕࡖ࡭࡮࡯ࡰࡼࡽ࢔࢕࢖ࢗࢦࢧࢾࢿࣀࣁࣲࣣࣦ࣋࣌ࣤࣥࣳऊऋऌऍ훴뫴黴苴更̙ᩪ

ᔀ楫ᘀ楫䔀嗿Ĉ̝䱪诓੎Ĉ栖毳i䩃ࡕ嘁Ĉ䩡̙푪 ᔀ楫ᘀ楫䔀嗿Ĉ̝䉪诓੎Ĉ栖毳i䩃ࡕ嘁Ĉ䩡̙豪ᔀ楫ᘀ楫䔀嗿Ĉ̝㑪诓੎Ĉ栖毳i䩃ࡕ嘁Ĉ䩡̙䝪ᔀ楫ᘀ楫䔀嗿Ĉ̝ᩪ诓੎Ĉ栖毳i䩃ࡕ嘁Ĉ䩡̙jᔀ楫ᘀ楫䔀嗿Ĉ̝诒੎Ĉ栖毳i䩃ࡕ嘁Ĉ䩡

3π/2

−3

−π

2

7π/2

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