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Trig SOH CAH TOA

Trig SOH CAH TOA. A. B. C. WHICH HOUSE WOULD YOU RATHER LIVE IN?. House number 1 OR House number 2?. House number 1. House number 2. Trigonometry. Trig means angle measurement Trig deals with the relation between sides and angles

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Trig SOH CAH TOA

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  1. Trig SOH CAH TOA A B C

  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_ hypotenuse 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 TANFind sine, cosine, and tangent of acute angles only. A Sin = Cos = Tan = 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. O …for the red acute angle only. Y 6 7 12 Y A 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 TAN 1. 2. 3. A N A 10 25 8 12 13 24 B C T L H S 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 A Sin Cos Tan Sin Cos Tan M M B I M 3.5 A Sin Cos Tan R Sin Cos Tan B A M R B B R

  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 Sin Cos Tan 1 S 1 B 2 Sin Cos Tan W 1 I 15. F 4 2 Sin Cos Tan C H

  18. 16. 17. 6.2 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 Sin Cos Tan D 34 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 hypotenuse A G H 1. 2. C B I E 3. 4. K J D L F

  24. Practice marking the hypotenuse A C A 6. 5. B C A 8. C B B 7. C A B

  25. Practice marking the hypotenuse A B 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 Side opposite Side opposite K N Side opposite Side opposite P K M N P J S D D M V V Side opposite Side opposite Side opposite Side opposite S D M

  28. Practice marking opposite side A A 1. 2. T C D A C B 3. 4. D O G B

  29. Practice marking opposite side E 5. Y 6. D D C L R I 7. 8. O G P W

  30. Practice marking the opposite side D U 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 side B M 1. O 2. <A Side adjacent to Side adjacent to <B Side adjacent to Side adjacent to <P <O C A B C R 3. 4. P <A Side adjacent to Side adjacent to G A <R <A Side adjacent to Side adjacent to A <B

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

  34. Practice marking the adjacent side O U 9. 10. S F G N W 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 sides A T 1. 2. D E H I 3. S Y 4. E V O R

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

  39. O T 10. 9. O 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. L K O N M C B 23. 24. P V X I

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