Module 4 Foundations of Trigonometry

Lesson 1 Radians and Degrees in Standard Position

This is a Project Based course.

Here is the link for your project. Scroll down to the bottom of the module. Please check it out before you proceed - it is half of your module grade.

Lesson Questions

• What relationship exists between degree and radian measures?

Lesson

Click on Lesson 1 and work through the whole lesson. You can expect this to take about three hours before doing the project work. Remember that the Assignment is for practice and NOT to be handed in.

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Self Check Quiz

Each lesson will have a quiz to help you know how you are doing. You have three chances for each quiz and we count the best score only.

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Project work

Benchmark - Radians & Arc Length

1. Find the length of the arc which subtends an angle of 4.2 radian at the centre of a circle of radius 6.3 cm. (1 mark)

2. Find the length of the arc which subtends a sector angle of 225° in a circle with radius 3.7 cm. (1 mark)

3. A pendulum 6 cm in length swings and makes an arc of 15 cm. Find the size of the angle through which the pendulum swings (in radian and degree measure). (2 marks)

4. Select A,B,C,D, or E. How many radians in 210°? (1 mark)
A) pi/6 B) 6pi/7 C) 7pi/6 D) 8pi/3 E) 5pi/4

Lesson 2 Applications of Radians

This is a Project Based course.

Here is the link for your project. Scroll down to the bottom of the module. Please check it out before you proceed - it is half of your module grade.

Lesson Questions

• How can angles with the same terminal arms be described?
• How can the relationship between the central angle, arc length, and radius in a circle be used to solve real-life problems?
  

Lesson

Click on Lesson 2 and work through the whole lesson. You can expect this to take about three hours before doing the project work. Remember that the Assignment is for practice and NOT to be handed in.

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Self Check Quiz

Each lesson will have a quiz to help you know how you are doing. You have three chances for each quiz and we count the best score only.

Link to Self Check Quiz

Project work

Lesson 3 The Unit Circle

This is a Project Based course.

Here is the link for your project. Scroll down to the bottom of the module. Please check it out before you proceed - it is half of your module grade.

Lesson Questions

• How can angles with the same terminal arms be described?
• How can the relationship between the central angle, arc length, and radius in a circle be used to solve real-life problems?
  

Lesson

Click on Lesson 3 and work through the whole lesson. You can expect this to take about three hours before doing the project work. Remember that the Assignment is for practice and NOT to be handed in.

Link to Learn Everywhere lessons

Multimedia

Self Check Quiz

Each lesson will have a quiz to help you know how you are doing. You have three chances for each quiz and we count the best score only.

Link to Self Check Quiz

Project work

Lesson 4 Trigonometric Ratios

This is a Project Based course.

Here is the link for your project. Scroll down to the bottom of the module. Please check it out before you proceed - it is half of your module grade.

Lesson Questions

• How can the six trigonometric ratios be determined for any angle expressed in radians or degrees?

Lesson

Click on Lesson 4 and work through the whole lesson. You can expect this to take about three hours before doing the project work. Remember that the Assignment is for practice and NOT to be handed in.

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Multimedia

Self Check Quiz

Each lesson will have a quiz to help you know how you are doing. You have three chances for each quiz and we count the best score only.

Link to Self Check Quiz

Project work

Lesson 5 Trigonometric Equations

This is a Project Based course.

Here is the link for your project. Scroll down to the bottom of the module. Please check it out before you proceed - it is half of your module grade.

Lesson Questions

• How can trigonometric equations be solved?
• How is a specific solution for a trigonometric equation related to the general solution?
  

Lesson

Click on Lesson 5 and work through the whole lesson. You can expect this to take about three hours before doing the project work. Remember that the Assignment is for practice and NOT to be handed in.

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Multimedia

Self Check Quiz

Each lesson will have a quiz to help you know how you are doing. You have three chances for each quiz and we count the best score only.

Link to Self Check Quiz

Project work

Lesson 6 Graphing and Transforming Sine and Cosine Functions 1

This is a Project Based course.

Here is the link for your project. Scroll down to the bottom of the module. Please check it out before you proceed - it is half of your module grade.

Lesson Questions

• How can the functions y = sin x and y = cos x be represented graphically?
• How do the parameters a and b of a trigonometric function affect the shape of the corresponding graph?
  

Lesson

Click on Lesson 6 and work through the whole lesson. You can expect this to take about three hours before doing the project work. Remember that the Assignment is for practice and NOT to be handed in.

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Self Check Quiz

There is no self check for this lesson.

Project work

Lesson 7 Graphing and Transforming Sine and Cosine Functions 2

This is a Project Based course.

Here is the link for your project. Scroll down to the bottom of the module. Please check it out before you proceed - it is half of your module grade.

Lesson Questions

• How can the functions and be represented graphically?
• How are the parameters a, b, c, and d of a sine or cosine function related to the transformations of the corresponding graph?
  

Lesson

Click on Lesson 7 and work through the whole lesson. You can expect this to take about three hours before doing the project work. Remember that the Assignment is for practice and NOT to be handed in.

Link to Learn Everywhere lessons

Multimedia

Self Check Quiz

Each lesson will have a quiz to help you know how you are doing. You have three chances for each quiz and we count the best score only.

Link to Self Check Quiz

Project work

Module 4 Trigonometry Fundamentals Wrap-up

Module 4 Wrap-up

 

Here is the link