1. Trigonometry
To be able to find missing angles and sides in right angled triangles
Starter - naming sides

3. Using a calculator (shift , 9 , 3 , = , AC) sin (30) = sin (0.5) =-1
cos 45 =
tan (0.8) = -1
if sin(x) is what is x?

4. the Sine rule
hyp
opp x o
Sin (x) = opposite
hypotenuse

5. the cos rule
hyp x o
adj
Cos (x) = adjacent
hypotenuse

6. the tan rule
opp x o
adj
tan (x) = opposite
adjacent

7. S O H C A H T O A

8. The Steps.....
Step 1 - Draw the triangle
12cm x
50o

9. The Steps..... Step 1 - Draw the triangle
Step 2 - Label the sides (H,A,O)
12cm x
50o

10. The Steps..... Step 1 - Draw the triangle
Step 2 - Label the sides (H,A,O) H O
Step 3 - Cross out the one we
don't need
12cm x
50o A

11. The Steps..... Step 1 - Draw the triangle
Step 2 - Label the sides (H,A,O) H O
Step 3 - Cross out the one we
don't need
12cm x
Step 4 - SOH CAH TOA
50o A

12. The Steps..... H O
12cm x
50o A
Step 5 - Write Formula/ substitute numbers
Sin(angle) = O H

13. The Steps..... H O
12cm x
50o A
Step 5 - Write Formula/ substitute numbers
Sin(angle) = O H
Sin (50) = x 12

14. The Steps..... H O
12cm x
50o A
Step 5 - Write Formula/ substitute numbers
Step 6 - Rearrange
Sin(angle) = O H
Sin (50) = x 12

15. The Steps..... H O A 12cm x 50o Sin(angle) = O
Step 5 - Write Formula/ substitute numbers
Step 6 - Rearrange
Step 7 - Solve
Sin (50) = x 12
12 x Sin(50) = x

16. CAH
SOH