Check list:

1. Define the trigonometric ratios sinθ, cosθ, and tanθ, using right-angled triangles.
   
2. Extend the definitions of sinθ, cosθ, and tanθ for \({0^o} \le \theta  \le {360^o}\).
3. Define the reciprocals of the trigonometric ratios, cosecθ, secθ and cotθ, using right-angled triangles (these three reciprocals should be examined in Grade 10 only)
   
4. Derive values of the trigonometric ratios for the special cases (without using a calculator) \(\theta  \in \left\{ {{0^o};{{30}^o};{{45}^o};{{60}^o};{{90}^o}} \right\}\)
5. Solve two-dimensional problems involving right-angled triangles.
   
6. Solve simple trigonometric equations for angles between \({{0^o}}\) and \({{90^o}}\).
7. Use diagrams to determine the numerical values of ratios for angles from \({{0^o}}\) to \({{360^o}}\).
8. Solving problems in two dimensions

---

Learn the concepts:

There is always such a big hype around trigonometry. The truth is, it's quite easy to use as long as you master each step before moving on the the next one. I like to teach this section in a very particular order, and this order is not usually the order found in textbooks. Follow the order of these videos and you will be fine. There are somethings you will need to memorise so pay close attention.

For the addition Trig worksheet and memo, go to the answer section of the website.

Relevant sections in Everything Maths:

• Defining the trigonometric ratios

Still want to learn more? Try these links:

• A YouTube clips called How to use SohCahToa trigonometry. 
• An applet that demonstrates how to find the opposite, adjacent and hypotenuse.

Relevant sections in Everything Maths:

• Reciprocal functions (Exercise 1)

Still want to learn more? Try these links:

• An explanation and example problems of the basic use of the trig ratios.
• A YouTube clip called SOH CAH TOA : How to Solve a Right Triangle. 

Relevant sections in Everything Maths:

• Solving trigonometric equations (Exercise 1)

Still want to learn more? Try these links:

• A video explanation of finding a length of a right triangle.
• A note on how to find the length and size of an angle.

Relevant sections in Everything Maths:

• Finding an angle

Still want to learn more? Try these links:

• A note on how to find the length and size of an angle.
• A YouTube clip called Trig finding angles 2.

Relevant sections in Everything Maths:

• Defining ratios in the Cartesian plane

Still want to learn more? Try these links:

• A note explaining trigonometry on the Cartesian plane.
• Another note on trigonometry on the Cartesian plane.

Relevant sections in Everything Maths:

• Defining ratios in the Cartesian plane

Still want to learn more? Try these links:

• A note explaining trigonometry on the Cartesian plane.
• Another note on trigonometry on the Cartesian plane.

Relevant sections in Everything Maths:

• Reciprocal functions
  

Still want to learn more? Try these links:

• A note on working with reciprocal functions.
• Another note on working on reciprocal functions.

Relevant sections in Everything Maths:

• Special angles
• Defining ratios in the Cartesian plane

Still want to learn more? Try these links:

• A YouTube clip called Special Right Triangles in Geometry: 45-45-90 and 30-60-90.

Relevant sections in Everything Maths:

• Solving trigonometric equations
  
• Finding an angle (Exercise 1)

Relevant sections in Everything Maths:

• Solving trigonometric equations
  
• Finding an angle (Exercise 1)

Videos from learn.mindset.co.za

Mind Action Series: Mathematics 10 Textbook & Workbook (2011)
Exercise 1 Page 82
Exercise 2 Page 83
Exercise 3 Page 87
Exercise 4 Page 88
Exercise 5 Page 89
Exercise 6 Page 91
Exercise 7 Page 92
Exercise 8 Page 95
Exercise 9 Page 99
Exercise 10 Page 100

---

Practice the concepts:

This live lesson focuses on the basic skills needed when working with trigonometric problems.

Download the note.

This is a live lesson focusing on special angles and solving equations using the Cartesian plane.

Download the note.

Videos from learn.mindset.co.za

Mind Action Series: Mathematics 10 Textbook & Workbook (2011)
Mixed Revision Exercise Page 112
Some Challenges Page 117

Relevant sections in Everything Maths:

• Chapter summary
• End of chapter exercises