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]
________________________________________________________________________________
Express each function in terms of its cofunction.
14. sin 50° = 15. [pic]
__________________________________________________________________________________
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
4π
−3π/2
−π/2
π
2π
3π
4π
3
−2
1
3
−2π
π/2
5π/2
−3
−1
−2π
3π/2
−3
−π
2
7π/2
y
x
4π
−3π/2
−π/2
π
2π
3π
4π
3
−2
1
3
−2π
π/2
5π/2
−3
−1
−2π
3π/2
−3
−π
2
7π/2
y
x
4π
−3π/2
−π/2
π
2π
3π
4π
3
−2
1
3
−2π
π/2
5π/2
−3
−1
−2π࠶࠷࠸ࡅࡕࡖࡰࡼࡽࢦࢧࢾࢿࣀࣁࣲࣣࣦ࣋࣌ࣤࣥࣳऊऋऌऍ훴뫴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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