1. Trigonometry

2. Unit 4:Mathematics
Aims
Jog your memory on Pythagoras therom and Trigonometry
Objectives
Identify lengths and angles of right angle triangles using formulas.

3. 15

6. Right angled triangle
hypotenuse
opposite
adjacent

7. hypotenuse opposite adjacent
There are three ratios that you need to learn:
hypotenuse
opposite
adjacent

8. Finding a length hypotenuse opposite adjacent 10cm
You need to label all the lengths of the triangle.
hypotenuse
10cm
The adjacent is not needed in this
question; the question is only using
opposite and hypotenuse.
opposite
adjacent

9. Finding a length hypotenuse opposite
You need to label all the lengths of the triangle.
The adjacent is not needed in this
question; the question is only using
opposite and hypotenuse.
hypotenuse
10cm
opposite

10. Finding a length
hypotenuse
10cm
opposite

11. Finding a length hypotenuse opposite 10cm OR
rearrange the equation (*) by multiplying both sides by x.

12. These two triangles are very different.
The variable x will be on the denominator
This is an example of where we have to solve an equation with the variable on the denominator, so multiply both sides by x.
still need to get x on its own, so divide both sides by sin30

13. 2. Pick the correct formula 1.Label the triangle
3.Substitute in the correct values
opposite
15cm
adjacent
4. Rearrange to find x

14. 15cm
opposite
adjacent

15. Datryswch yr trionglau canlynol iawn gyda'r mesuriadau a roddir
Solve the following right triangles with the dimensions given 5 c 22 A B C A a c 13 B C
52 º 9 20 18 A B C c 12
8 º A B C