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2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 1 March 01, 2016 Homework: Page 264: 1‐4,5,7,14‐19,21,23‐28,29,31‐37 Warm –up February 26, 2016 The contralto vocal type includes the deepest female singing voice. Some contraltos can sing as low as E below middle C (E3), which has a frequency of 165 hertz. Write an equation for a sine function that models the initial behavior of the sound wave associated with E3 having an amplitude of 0.15.

Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

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Page 1: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

1

March 01, 2016

Homework: Page 264: 1‐4,5,7,14‐19,21,23‐28,29,31‐37

Warm –up 

February 26, 2016

The contralto vocal type includes the deepest female singing voice.  

Some contraltos can sing as low as E below middle C (E3), 

which has a frequency of 165 hertz.  Write an equation for a sine function that models 

the initial behavior of the sound wave associated with E3 having an amplitude of 0.15. 

Page 2: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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March 01, 2016

Frequency = 165 hertz

Period = 1 / 165

P = 2p/B

A =.15 No Phase Shift

No Vertical Shift

Page 3: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

3

March 01, 2016

Homework 1st Block

Page 4: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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March 01, 2016

Page 5: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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March 01, 2016

A=1 B=2 C= D=0

Page 6: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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March 01, 2016

Page 7: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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March 01, 2016

Oct 9­11:20 AM

Page 8: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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March 01, 2016

Page 9: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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March 01, 2016

Oct 9­11:20 AM

Page 10: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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March 01, 2016

Page 11: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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March 01, 2016

Homework 3rd Block

Page 12: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Page 13: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Page 14: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Page 15: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Page 16: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Page 17: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Page 18: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Page 19: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Page 20: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Page 21: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Page 22: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Page 23: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Page 24: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Page 25: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Page 26: Some contraltos can sing as low as E below middle C (E3 ...goldenprecalculus.weebly.com/uploads/8/4/6/2/... · 2016 Pre Calc Feb 26 Graphing Trig Functions.notebook 3 March 01, 2016

2016 Pre Calc Feb 26 Graphing Trig Functions.notebook

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Feb 25­9:52 PM