1. Trig SOH CAH TOA A C B

2. WHICH HOUSE WOULD YOU RATHER LIVE IN?
House number 1 OR House number 2?

3. House number 1

4. House number 2

5. Trigonometry Trig means angle measurement
Trig deals with the relation between sides and angles
Trig helps you find the length of a side or the measure of an angle

6. What might you use trig for?
To build a house correctly
Is your ladder long enough to reach the gutters?
What is the shortest distance between two points?
What is the height and width of a TV screen?
Where will your furniture fit in a room?
What is the height of a building or a tree?
How can you build a staircase?

7. Trigonometric Ratios
Sine Sin = _opposite_ hypotenuse Cosine Cos = _adjacent_ Tangent Tan = opposite adjacent

8. Trig Memory Clue
SOH CAH TOA S ine C osine T angent O pposite A djacent O pposite H ypotenuse H ypotenuse A djacent

9. SIN, COS, and TAN Find sine, cosine, and tangent of acute angles only.5 2
Sin =
Cos = C B
Tan = 3

10. B 11 T L 3
6.7 F 14
17.8 6
Sin
Cos
Tan R
Sin
Cos
Tan G

11. …for the red acute angle only.6 7 12 A Y
13.4 9 R
Sin
Cos
Tan
Sin
Cos
Tan
11.4 X U
Sin
Cos
Tan
14.2 9 E Z 11

12. PRACTICE SIN, COS, and TAN1. 2. 3. A N A 10 25 8 12 13 24 H S B C T L 6 5 7
Sin
Cos
Tan
Sin
Cos
Tan
Sin
Cos
Tan
…for both acute angles.

13. R 3 H A
7.1
6.2 3
Sin
Cos
Tan A
Sin
Cos
Tan M M B I A M
3.5
Sin
Cos
Tan R
Sin
Cos
Tan B A M R B R B

14. W 4. 5. D
Sin
Cos
Tan 16 12 15
Sin
Cos
Tan 20 Y J P 9 V 12 6. 9 16 N C
Sin
Cos
Tan 13 L

15. 7. P 8. 3 25 Y T E 5
Sin
Cos
Tan 7 4 24
Sin
Cos
Tan I A Q 9. 24 10
Sin
Cos
Tan G D 26

16. C
10.
11. F 6 10
Sin
Cos
Tan O 8 26 S
Sin
Cos
Tan 24
12. G 15 Z I 10 E 25 20
Sin
Cos
Tan T

17. K
13.
14. M 1
Sin
Cos
Tan S 1 2 B
Sin
Cos
Tan W 1 I
15. F 4 2
Sin
Cos
Tan C H

18. 16.
6.2
17. F E L
6.2
Sin
Cos
Tan
3.5 B
7.1
Sin
Cos
Tan
7.8 10 O
18. M
6.4
Sin
Cos
Tan T
4.7 D
4.3 U

19. 19. Q
20. E
Sin
Cos
Tan
4.1
7.8 7 T 6 G
5.6 Z 5 A
21. 30 B
Sin
Cos
Tan D 34
Sin
Cos
Tan 16 C

20. 22.
23. R
Sin
Cos
Tan 32 I J 24 40 25 24
Sin
Cos
Tan A 32 B O C
24. 48
Sin
Cos
Tan 14 G 50 L

21. What is the hypotenuse?
It is always across from the right angle. It is always the longest side.
hypotenuse

22. Hypotenuse A L A E G E C A L A G B

23. Practice marking the hypotenuse1. 2. C B I E 3. 4. J K D L F

24. Practice marking the hypotenuse6. 5. B C A C 8. 7. B B C A B

25. Practice marking the hypotenuseB
10. 9. A C A C
12. C
11. B B B A C

26. What is the opposite side?
It is the side across from the angle you’re working with. A
The side opposite is
The side opposite is C B

27. Opposite Side O I I K N P K M N P J S D D M V V S D M Side oppositeK
Side opposite N
Side opposite P K M N P J S D D M V V
Side opposite
Side opposite S D M

28. Practice marking opposite side1. 2. C T D A C B 3. 4. D O G B

29. Practice marking opposite side5. 6. Y D D C L R I 7. 8. O G P W

30. Practice marking the opposite sideU
10. 9. F M D G A
12.
11. Z I A G Z

31. What is the adjacent side?
The adjacent side runs alongside the angle (but it won’t be the hypotenuse).
The side adjacent to is B
The side adjacent to is C A

32. Practice marking the adjacent sideB M 1. 2. O
Side adjacent to
<A
<B
Side adjacent to
<P
<O C A B C R 3. 4. P
<A
Side adjacent to A G
<R
<A
Side adjacent to A
<B

33. Practice marking the adjacent sideF N E 5. 6. D U D I R P A 7. 8. L B

34. Practice marking the adjacent sideO U 9.
10. S F G W N
11.
12. G D A G U

35. STRAW ACTIVITY
You will be given 3 straws and a piece of poster board. Place the straws on the poster board in the shape of a right triangle Label the angles with your initials Label the hypotenuse I will come around and give you one of the angles: You will label the opposite side and the adjacent side

36. STRAW ACTIVITY EXAMPLE
Using angle L, label the opposite and adjacent sides L
hypotenuse
adjacent A T
opposite

37. Practice marking different sides1. 2. D E H I 3. S Y 4. E V O R

38. 5. M P P C 6. A A 7. P P 8. A N T A

39. O T 9. O
10. Y N U
11. S
12. K M J A V

40. A
13.
14. M J C D A E
15. N E
16. O W L

41. Q Y
17.
18. R T W E
19. A G
20. F S D H

42. J
21.
22. K L O M N C B
23.
24. P V X I