Math 10C

Chapter 3 Right Triangle Trigonometry

Lesson 32 The Sine and Cosine Ratios

Focus

The FOCUS section introduces the main concept that will be covered in the lesson.

TEXT Page 114

Read/Work through the  Focus  section at the top of page 114 in  your textbook.

Investigate

Investigate an idea or problem, with a partner if possible.
The investigation provides the background for the ideas presented in the lesson.

TEXT Pages 114 - 115

Read/Work through the  Investigate  section on Pages 114 - 115 in your textbook.

Answer the questions, AS BEST YOU CAN, before you view the Tutorial that follows.
The video tutorials will go through the numbered steps,  one at a time, so you can follow along and check your work.

NOTE!   If you want to use the same reference angle as I did,  I used an angle of 37°  to draw my first triangle.

Also note,  even if you decide NOT to do the Investigation yourself,  you should view the video content as it really “teaches” the lesson.

Watch

Video Tutorial A

Video Tutorial B

Video Tutorial C

Video Tutorial D

Video Tutorial E

Link the Ideas

Link the Ideas summarizes the math in the lesson.
A presentation of ideas connected to the lesson focus.

TEXT Page 115

Read/Work through the  Link the Ideas  section on Page 115 in your textbook.

Examples

Examples will give you TOOLS for solving problems, and also show you that there may be different ways to approach a question.

Example 1  Write Trigonometric Ratios

TEXT Page 116

Work through Example 1 on Page 116 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Example 2  Evaluate Trigonometric Ratios

TEXT Page 117

Work through Example 2 on Page 117  in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Example 3  Determine an Angle Using a Trigonometric Ratio

TEXT Page 118

Work through Example 3 on Page 118 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Example 4  Determine a Distance Using a Trigonometric Ratio

TEXT Pages 118 - 119

Work through Example 4 on Pages 118 - 119 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Key Ideas

Key Ideas summarizes the main new concepts of the lesson.

•	Carefully read through each of the bullet points in this section.

•	If you are unclear about any of these ideas,  ASK YOUR TEACHER FOR HELP!

Check Your Understanding    (Practice Problems)

Doing Practice Problems

Practice problems reinforce the math presented in this lesson.

•	Work through the practice problems for this lesson.
	These problems are for practice, you don’t need to hand them in!
	(your teacher may assign specific questions for you to complete)

•	Use the answers in the back of the book to CHECK YOUR WORK!

•	If you make a mistake, TRY TO FIX IT!

•	If you need help or want more information, view the video solutions provided.

•	If you still need more help,  CONTACT YOUR TEACHER!

Types of Practice Problems

Practice questions require basic understanding of the ideas of the  lesson.

Apply questions will require you to dig deeper for a solution.

Extend questions offer enrichment and extension.

Create Connections questions connect the math to everyday contexts.

Mini Lab (optional)  your teacher may or may not have you do these.

Notes

Question 1,   calculator question, nothing really to do here.
Use the back of the book to check your answers.
No video for this one.

Question 3,   calculator question, nothing really to do here.
Use the back of the book to check your answers.
No video for this one.

Question 17,    great activity, but would take hours to create and do.   
No video for this one.

Video Solution Links

Check your work for every problem you do!
If you make a mistake,  try to fix it!
Use the video solutions for more information.
If a problem still doesn’t make sense, ASK YOUR TEACHER FOR HELP!

({{ , "Question 2",  , "Question 4", "Question 5"}, {"Question 6", "Question 7", "Question 8", "Question 9", "Question 10"}, {"Question 11", "Question 12", "Question 13", "Question 14", "Question 15"}, {"Question 16",  , , , }})