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

__your choice of the following questions, and__**Complete**__to make sure you understand.__**check your answers**- U4L1, page 1 #1-5

## Work:

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

__your choice of the following questions, and__**Complete**__to make sure you understand.__**check your answers**- 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

__your choice of the following questions, and__**Complete**__to make sure you understand.__**check your answers**- 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

__your choice of the following questions, and__**Complete**__to make sure you understand.__**check your answers**- 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

__your choice of the following questions, and__**Complete**__to make sure you understand.__**check your answers**- 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

__your choice of the following questions, and__**Complete**__to make sure you understand.__**check your answers**- 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

__your choice of the following questions, and__**Complete**__to make sure you understand.__**check your answers**- 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

__your choice of the following questions, and__**Complete**__to make sure you understand.__**check your answers**- 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

__your choice of the following questions, and__**Complete**__to make sure you understand.__**check your answers**- U5L3, pages 4-6 #1-5