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# Trig 1 lesson 4 tangent

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Defining the Tangent ratio in Trigonometry.

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### Trig 1 lesson 4 tangent

1. 1. Defining the sine, Tangent and tangent ratios for angles in right-angled trianglesPart 3 - Tangent<br />
2. 2. The Tangent Ratio<br />
3. 3. The Tangent Ratio<br />
4. 4. The Tangent Ratio<br />The Tangent of an angle is defined as the ratio between the Opposite and the Adjacent<br />
5. 5. The Tangent Ratio<br />The Tangent of an angle is defined as the ratio between the Opposite and the Adjacent<br />π»ππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘<br />Β <br />
6. 6. The Tangent Ratio<br />The Tangent of an angle is defined as the ratio between the Opposite and the Adjacent<br />π»ππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘<br />Β <br />
7. 7. The Tangent Ratio<br />The Tangent of an angle is defined as the ratio between the Opposite and the Adjacent<br />π»ππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘<br />Β <br />
8. 8. The Tangent Ratio<br />The Tangent of an angle is defined as the ratio between the Opposite and the Adjacent<br />π»ππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘<br />Β <br />
9. 9. The Tangent Ratio<br />The Tangent of an angle is defined as the ratio between the Opposite and the Adjacent<br />π»ππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘<br />Β <br />
10. 10. The Tangent Ratio<br />The Tangent of an angle is defined as the ratio between the Opposite and the Adjacent<br />π»ππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘<br />Β <br />Remember:<br />
11. 11. The Tangent Ratio<br />The Tangent of an angle is defined as the ratio between the Opposite and the Adjacent<br />π»ππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘<br />Β <br />Remember:<br />
12. 12. The Tangent Ratio<br />The Tangent of an angle is defined as the ratio between the Opposite and the Adjacent<br />π»ππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘<br />Β <br />T<br />Remember:<br />
13. 13. The Tangent Ratio<br />The Tangent of an angle is defined as the ratio between the Opposite and the Adjacent<br />π»ππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘<br />Β <br />T<br />Remember:<br />
14. 14. The Tangent Ratio<br />The Tangent of an angle is defined as the ratio between the Opposite and the Adjacent<br />π»ππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘<br />Β <br />TO<br />Remember:<br />
15. 15. The Tangent Ratio<br />The Tangent of an angle is defined as the ratio between the Opposite and the Adjacent<br />π»ππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘<br />Β <br />TO<br />Remember:<br />
16. 16. The Tangent Ratio<br />The Tangent of an angle is defined as the ratio between the Opposite and the Adjacent<br />π»ππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘<br />Β <br />TOA<br />Remember:<br />
17. 17. The Tangent Ratio<br />Remember: TOA<br />Tangent of π is equal to ππππππ=ππ=π.ππππ.π<br />Β <br />
18. 18. The Tangent Ratio<br />Remember: TOA<br />Tangent of π is equal to ππππππ=ππ=π.ππππ.π<br />Β <br />
19. 19. The Tangent Ratio<br />Remember: TOA<br />Tangentof π is equal to ππππππ=ππ=π.ππππ.π<br />Β <br />
20. 20. The Tangent Ratio<br />Remember: TOA<br />Tangentof πis equal to ππππππ=ππ=π.ππππ.π<br />Β <br />
21. 21. The Tangent Ratio<br />Remember: TOA<br />Tangentof π is equal to ππππππ=ππ=π.ππππ.π<br />Β <br />
22. 22. The Tangent Ratio<br />Remember: TOA<br />Tangentof π is equal toππππππ=ππ=π.ππππ.π<br />Β <br />Opposite<br />
23. 23. The Tangent Ratio<br />Remember: TOA<br />Tangentof π is equal toπΆπππππ=ππ=π.ππππ.π<br />Β <br />Opposite<br />
24. 24. The Tangent Ratio<br />Remember: TOA<br />Tangentof π is equal toπΆπππππ=ππ=π.ππππ.π<br />Β <br />Adjacent<br />Opposite<br />
25. 25. The Tangent Ratio<br />Remember: TOA<br />Tangentof π is equal toπΆπππ¨ππ=ππ=π.ππππ.π<br />Β <br />Adjacent<br />Opposite<br />
26. 26. The Tangent Ratio<br />Remember: TOA<br />Tangentof π is equal toπΆπππ¨ππ=ππ=π.ππππ.π<br />Β <br />Adjacent<br />Opposite<br />
27. 27. The Tangent Ratio<br />Remember: TOA<br />Tangentof π is equal toπΆπππ¨ππ=ππ=π.ππππ.π<br />Β <br />Adjacent<br />Opposite<br />
28. 28. The Tangent Ratio<br />Remember: TOA<br />Tangentof π is equal toπΆπππ¨ππ=ππ=π.ππππ.π<br />Β <br />Adjacent<br />Opposite<br />
29. 29. The Tangent Ratio<br />Remember: TOA<br />Tangentof π is equal toπΆπππ¨ππ=ππ=π.ππππ.π<br />Β <br />Adjacent<br />Opposite<br />
30. 30. The Tangent Ratio<br />Remember: TOA<br />Tangentof π is equal toπΆπππ¨ππ=ππ=π.ππππ.π<br />Β <br />Adjacent<br />Opposite<br />
31. 31. The Tangent Ratio<br />Remember: TOA<br />Tangentof π is equal toπΆπππ¨ππ=ππ=π.ππππ.π<br />Β <br />Adjacent<br />Opposite<br />
32. 32. The Tangent Ratio<br />Remember: TOA<br />Tangentof π is equal toπΆπππ¨ππ=ππ=π.ππππ.π<br />Β <br />Adjacent<br />Opposite<br />
33. 33. The Tangent Ratio<br />πangentπ=OppositeAdjacent<br />Β <br />
34. 34. The Tangent Ratio<br />πangentπ=OppositeAdjacent<br />Β <br />
35. 35. The Tangent Ratio<br />Tangentο±=πΆπ¨<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />
36. 36. The Tangent Ratio<br />Tangentο±=πΆπ¨<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />
37. 37. The Tangent Ratio<br />Tangentο±=πΆπ¨<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />
38. 38. The Tangent Ratio<br />Tangentο±=ππ¨<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />
39. 39. The Tangent Ratio<br />Tangentο±=ππ¨<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />
40. 40. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />
41. 41. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />
42. 42. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />
43. 43. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο±=πΆπ¨<br />Β <br />
44. 44. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=πΆπ¨<br />Β <br />
45. 45. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=πΆπ¨<br />Β <br />
46. 46. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=π.πππ¨<br />Β <br />
47. 47. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=π.πππ¨<br />Β <br />
48. 48. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
49. 49. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
50. 50. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
51. 51. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο±=πΆπ¨<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
52. 52. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο’=πΆπ¨<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
53. 53. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο’=πΆπ¨<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
54. 54. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο’=ππ.ππ¨<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
55. 55. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο’=ππ.ππ¨<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
56. 56. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο’=ππ.ππππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
57. 57. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο’=ππ.ππππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
58. 58. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο’=ππ.ππππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
59. 59. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο’=ππ.ππππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο±=πΆπ¨<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
60. 60. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο’=ππ.ππππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο§=πΆπ¨<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
61. 61. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο’=ππ.ππππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο§=πΆπ¨<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
62. 62. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο’=ππ.ππππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο§=ππ¨<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
63. 63. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο’=ππ.ππππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο§=ππ¨<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
64. 64. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο’=ππ.ππππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο§=πππ.π<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
65. 65. The Tangent Ratio<br />Tangentο±=ππ<br />Β <br />Tangentο’=ππ.ππππ<br />Β <br />πangentπ=OppositeAdjacent<br />Β <br />Tangentο§=πππ.π<br />Β <br />Tangentο‘=π.πππ<br />Β <br />
66. 66. The Tangent Ratio<br />Remember:<br />πππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘ ->TOA<br />Β <br />
67. 67. The Tangent Ratio<br />Remember:<br />πππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘ ->TOA<br />Β <br />
68. 68. The Tangent Ratio<br />Remember:<br />πππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘ ->TOA<br />Β <br />
69. 69. The Tangent Ratio<br />Remember:<br />πππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘ ->TOA<br />Β <br />
70. 70. The Tangent Ratio<br />Remember:<br />πππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘ ->TOA<br />Β <br />
71. 71. The Tangent Ratio<br />Remember:<br />πππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘ ->TOA<br />Β <br />
72. 72. The Tangent Ratio<br />Remember:<br />πππππππ‘π=πΆππππ ππ‘ππ¨πππππππ‘ ->TOA<br />Β <br />
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