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:

File	Description	File size
12.5.1a.notes.pdf		446 kB
12.5.1b.notes.pdf		501 kB
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:

File	Description	File size
12.5.2a.notes.pdf		666 kB
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:

File	Description	File size
12.5.3.notes.pdf		2535 kB

12.5.4a Equations and Graphs

Resources:

• Notes: Solving equations using a graph

Assignment

• p275 #1-6, 8, 9

Things you should be able to do after today:

• Solve a trig equation using a graph using:
  • intersection method
  • zero method
• Determine a general solution from a graph

Attachments:

File	Description	File size
12.5.4a.notes.pdf		493 kB

12.5.4b Modeling Real Situations

Resources:

• Notes: Modeling Using Trigonometric Functions

Assigment

• p275 #6, 10-12, 14-19, 21

Things you should know after today:

• Create equations based on sinusoidal or periodic functions
• Solve problems using these equations and their graphs

Attachments:

File	Description	File size
12.5.4b.notes.PDF		548 kB