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Trigonometry

    PHASE SHIFT, PERIOD AND GRAPHS

 

Syllabus

Schedule

            Review Test 1

               Review Test 2

                  Review Test 3

 

 Answer keys to Projects

Project 1 Project 4​ Project 7
Project 2 Project 5 Project 8
Project 3 Project 6 Project 9
 

 

Notes

​Model

Exercises

1.  Angles and Their Measure  ME  1         
2.  Right Triangle Trigonometry​  ​ME  2
 ​ME  3
4.  ​Trigonometric Functions of General Angles  ​ME  4
​5.  Unit Circle Approach; Properties of Trigonometric Functions  ​ME  5
​6.  Graph of Sine and Cosine Functions  ​ME  6
​7.  Graph of Tangent, Cotangent, Cosecant and Secant Functions  ​ME  7
​8.  Phase Shift; Sinusoidal Curve Fitting  ​ME  8
​9.  The Inverse Sine, Cosine and Tangent Functions  ME  9
​10. The Inverse Trigonometric Functions ​ ME 10
​11. Trigonometric Identities  ME 11
​12.  Sum and Difference Formulas  ​ME 12
​13.  Double-angle and Half-angle Formulas  ME 13
​14. Product-to-Sum and Sum-to-Product Formulas  ​ME 14
​15. Trigonometric Equations I  ​ME 15
​16. Trigonometric Equations II ME 16
​17. Applications Involving Right Triangles  ME 17
​18. The Law of Sines ME 18
​19. The Law of Cosines ME 19
​20. Area of a Triangle ME 20
                                                                                           

 

Cour​se Outcomes 

 

​Outcome

​Model

 Exercises

Practice

Exercises​

Identify coterminal and reference angles ME 1 PE 1
Convert between radian and degree measure ME 2 ​PE 2
Define and evaluate the six trig functions using a right triangle ​ME 3 PE 3
Define and evaluate the six trig functions using a unit circle ​ME 4 PE 4​
Evaluate any of the six trig functions of the common angles ​ME 5 ​PE 5
Graph a sinusoidal function and identify period, amplitude and phase shift ​ME 6 PE 6
Graph the non-sinusoidal trigonometric functions ​ME 7 ​PE 7
Establish trigonometric identities using the 8 fundamental identities ​ME 8 ​PE 8
Use identities to find exact values of trigonometric functions ​ME 9 ​PE 9
Find the exact value of an inverse trigonometric expression ​ME 10 ​PE 10
Solve equations involving a single trig function ​ME 11 ​PE 11
Solve trig equations using identities or advanced techniques ​ME 12 ​PE 12
Solve right triangle problems including applications using right triangle trig. ​ME 13 ​PE 13
Solve oblique triangles using the law of sines and law of cosines ​ME 14 ​PE 14
Solve application problems using the law of sines and law of cosines ​ME 15 ​Pe 15
  

 

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