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CHAPTER 6
SINUSOIDAL FUNCTIONS

Homework Solutions (Click the link on the left and enter classroom #)

✅ DAY 1 - Trig Identities I

LEARNING GOAL: I will learn how to prove trig identities.
​

​SUCCESS CRITERIA: I can prove that 1 + cot^2q = csc^2q.


PRACTICE: Text p.310 #2, 3, 4, 5 

HANDOUTS
1 - Trig Identities I HANDOUT
File Size: 216 kb
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1 - Trig Identities I SOLUTIONS
File Size: 812 kb
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✅ ​DAY 2 - Trig Identities II

LEARNING GOAL: I am learning how to prove trig identities.
​

​SUCCESS CRITERIA: I can prove the following identity:
sin^2 
θ + cos^4 θ = cos^2 θ + sin^4 θ

PRACTICE: Text p.310 #7, 8, 10, 11 

HANDOUTS
2 - Trig Identities II HANDOUT
File Size: 361 kb
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2 - Identities II Practice HANDOUT
File Size: 38 kb
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2 - Trig Identities II SOLUTIONS
File Size: 545 kb
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2 - Identities II Practice SOLUTIONS
File Size: 782 kb
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DAY 3 -  PERIODIC FUNCTIONS

LEARNING GOAL: I am learning the properties of periodic functions.
​

​SUCCESS CRITERIA: I can determine the properties of key properties of real life phenomena. 


PRACTICE: Text p.352 #1-10 

HANDOUTS
3 - HANDOUT
File Size: 422 kb
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3 - SOLUTIONS
File Size: 941 kb
File Type: pdf
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Why does the ISS travel in a sine wave instead of a straight line over the surface of the Earth?
​
Animation


✅​ DAY 4 (Dec9) GRAPHING SINX AND COSX

LEARNING GOAL: 
I am learning:
- how to graph sinx and cosx
- and determine their key properties.

​

​SUCCESS CRITERIA: 
I can:
- graph sinx and cosx
- determine similarities and differences between the two graphs.
- identify key features: amplitude, period, axis of the curve, max, min, domain and range


PRACTICE: Text p.364 #12  

HANDOUTS
4 - Graphing sinx and cosx HANDOUT
File Size: 347 kb
File Type: pdf
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4 - Graphing sinx and cosx SOLUTIONS
File Size: 648 kb
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✅​ ​DAY 5 (Dec10) TRANSFORMATIONS I

LEARNING GOAL: 
I am investigating the vertical and horizontal stretches/compressions of sinusoidal functions: sinx and cosx.
​

​SUCCESS CRITERIA: 
I can determine the effects of a and k on the parent function sinx and cosx.


PRACTICE: Text p.379 1acd, 2bcef  

HANDOUTS
5 - Transformations I HANDOUT
File Size: 362 kb
File Type: pdf
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5 - Transformations I SOLUTIONS
File Size: 675 kb
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✅​ ​DAY 6 (Dec10) TRANSFORMATIONS II

LEARNING GOAL: 
I am investigating the veritcal and horizontal translations of sinusoidal functions: sinx and cosx.
​

​SUCCESS CRITERIA: 
I can determine the effects of d and c on the parent function sinx and cosx.


PRACTICE: 
p.384 #4cef, 5, 6df, 7ce, 9, 10a
p.391 #3, 6b, 7



HANDOUTS
6 - Transformations II HANDOUT
File Size: 930 kb
File Type: pdf
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6 - Transformation II SOLUTIONS
File Size: 1325 kb
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DAY 7 (Dec11) DETERMINING THE EQUATIONS
GO to --> kahoot.it​
​Desmos

LEARNING GOAL: 
I am learning how to determine equation(s) from a graph of sinusoidal functions.
​
​SUCCESS CRITERIA: 

I can determine an equation of sin and cos from a graph.


PRACTICE:
p.384 #4cef, 5, 6df, 7ce, 9, 10a  
p.391 #3, 6b, 7



HANDOUTS
7 - Determining the Equations HANDOUT
File Size: 342 kb
File Type: pdf
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7 - Determining the Equations SOLUTIONS
File Size: 712 kb
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DAY 8: APPLICATIONS OF SINUSOIDAL FUNCTIONS

LEARNING GOAL: 
I am learning how to solve word problems of sinusoidal functions.
​
​SUCCESS CRITERIA: 

I can solve word problems of sinusoidal functions.


PRACTICE:
p.398 #1-10


HANDOUTS
8_-_application_of_sinusoidal_functions_handout.pdf
File Size: 746 kb
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8_-_application_of_sinusoidal_functions_solutions.pdf
File Size: 1057 kb
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8_-_modelling_periodic_phenomena_practice.docx
File Size: 31 kb
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8_-_modelling_periodic_phenomena_practice.pdf
File Size: 1683 kb
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DAY 9 & 10: UNIT REVIEW
p.404 #2-4, 6, 8-10, 12-14
p.406 # 2, 4

9 - UNIT REVIEW
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9 - SOLUTIONS
File Size: 741 kb
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May 26
DAY 10: UNIT TEST

HAPPY HOLIDAYS

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