MCT4C Unit 4:
Trigonometric Functions
4-1 Trigonometry Basics
Learning Goal:
I can successfully use ...
- Pythagorean theorem,
- primary trigonometric ratios (sine, cosine, and tangent),
- secondary trigonometric ratios (cosecant, secant, and cotangent),
- Sine Law, and
- Cosine Law
Lesson:
1) Pythagorean Theorem Review:
2) Primary Trigonometric Ratios Review:
3) Secondary Trigonometric Ratios Review:
4) Sine Law Review:
5) Cosine Law Review:
Practice:
Practice Questions for Unit 4 A
Complete your choice of the following questions, and check your answers to make sure you understand.
Complete your choice of the following questions, and check your answers to make sure you understand.
- U4L1, page 1 #1-5
Work:
Complete the following questions, and show them to Mr Fisher.
4-2 Special Angles
Learning Goal:
I can ...
- determine the exact value of special angles by applying the values found in the special triangles
Lesson:
1) Special Angles:
2) Finding Exact Trig. Values:
Practice:
Practice Questions for Unit 4 A
Complete your choice of the following questions, and check your answers to make sure you understand.
Complete your choice of the following questions, and check your answers to make sure you understand.
- U4L2, page 2 #1-5
Work:
4-3 The CAST Rule
Learning Goal:
I can ...
- explain and apply the CAST rule when solving trigonometry problems
Investigation:
Lesson:
Practice
Practice Questions for Unit 4 A
Complete your choice of the following questions, and check your answers to make sure you understand.
Complete your choice of the following questions, and check your answers to make sure you understand.
- U4L3, pages 3-4 #1-3
Work:
4-4 Solving Trig. Equations
Learning Goal:
I can ...
- use the CAST Rule to solve equations for all values of theta, where 0 < theta < 360
Lesson:
Practice:
Practice Questions for Unit 4 A
Complete your choice of the following questions, and check your answers to make sure you understand.
Complete your choice of the following questions, and check your answers to make sure you understand.
- U4L4, page 6 #1-10
Work:
4-5 Trigonometry Problems in 2-D
Learning Goal:
I can ...
- use my understanding of the primary trig ratios, Sine Law and Cosine Law to solve 2-Dimensional questions that require multiple steps to solve
Lesson:
Practice:
Practice Questions for Unit 4 A
Complete your choice of the following questions, and check your answers to make sure you understand.
Complete your choice of the following questions, and check your answers to make sure you understand.
- U4L5, pages 6-7 #1-6
Work:
4-6 Trigonometry Problems in 3-D
Learning Goal:
I can ...
- use my understanding of the primary trig ratios, Sine Law and Cosine Law to solve 3-Dimensional questions that require multiple steps to solve
Lesson:
Practice:
Practice Questions for Unit 4 A
Complete your choice of the following questions, and check your answers to make sure you understand.
Complete your choice of the following questions, and check your answers to make sure you understand.
- U4L6, pages 7-9 #1-8
Work:
4-7 The Ambiguous Case
Learning Goal:
I can ...
- identify the different cases of the Ambiguous triangle and solve the question accordingly
Lesson:
Practice:
Practice Questions for Unit 4 A
Complete your choice of the following questions, and check your answers to make sure you understand.
Complete your choice of the following questions, and check your answers to make sure you understand.
- U4L7, pages 9-10 #1-6
Work:
4-8 Sinusoidal Functions
Learning Goal:
I can ...
- state the properties for the Sine and Cosine graph
- identify the values of a, k, c and d and apply it to a sinusoidal function to graph the resulting transformation
Lesson:
1) Periodic Behaviour
2) Sinusoidal Functions
3) Transformations of Sinusoidal Functions
Practice:
Practice Questions for Unit 4 B
Complete your choice of the following questions, and check your answers to make sure you understand.
Complete your choice of the following questions, and check your answers to make sure you understand.
- U5L2, pages 1-4 #1-8
Work:
4-9 Applications of Sinusoidal Functions
Learning Goal:
I can ...
- apply my knowledge of sinusoidal functions to solve real-world problems
Lesson:
Practice:
Practice Questions for Unit 4 B
Complete your choice of the following questions, and check your answers to make sure you understand.
Complete your choice of the following questions, and check your answers to make sure you understand.
- U5L3, pages 4-6 #1-5