12.5.1 Graphs of Sine and Cosine

Resources

  • Notes: 5.1a Properties of Sinusoidal Functions
  • Notes: 5.1b Vertical Stretches / Changes in Period
  • Notes: 5.1c Reading graphs to determine amplitude and period

Assignment

  • 5.1a p233 #1, 2, 3, 14, 15, 4, 6, 7, 11
  • 5.1b p233 #5, 8, 9, 10, 12, 13, 17
  • 5.1c p233 #18, 19, 20 *23
  • p233 #C5 will be handed in as an assignment

Things you should be able to do after today:

  • determine amplitude and period from the equation for a sinusoidal function
  • determine the equation of a sinusoidal function that has undergone a vertical or horizontal stretch
Attachments:
FileDescriptionFile size
Download this file (12.5.1a.notes.pdf)12.5.1a.notes.pdf 446 kB
Download this file (12.5.1b.notes.pdf)12.5.1b.notes.pdf 501 kB
Download this file (12.5.1b2.notes.pdf)12.5.1c.notes.pdf 2351 kB

12.5.2 Transforming Sinusoidal Functions

Resources

  • Notes: 5.2a (vertical displacements and phase shifts
  • Notes: 5.2b (Determining the equation of a sinusoidal function from the graph)

Assignment

  • p250 #1-2(ace) #3-5, 6, 8 12
  • p251 #7, 9, 13, 14, 15, 17, 19-21
  • C1 and C2 will be handed in as assignments

 

Attachments:
FileDescriptionFile size
Download this file (12.5.2a.notes.pdf)12.5.2a.notes.pdf 666 kB
Download this file (12.5.2b.notes.PDF)12.5.2b.notes.PDF 374 kB

12.5.3. The Tangent Function

Resources

  • Notes: 5.3 (The tangent function)

Assignment

  • p262 #1, 2, 5, 6, 7, 9, 11, 12, 14

Things you should know after today:

  • different definitions of how the tangent function is defined
  • properites of the graph of tangent function (amplitude, period, domain, range and equations of any asymptotes)

 

Attachments:
FileDescriptionFile size
Download this file (12.5.3.notes.pdf)12.5.3.notes.pdf 2535 kB

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