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Trigonometry Chapter

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Trigonometry Chapter

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    1. Trigonometry Chapter Section 2 Right Triangle Trigonometry

    2. Trigonometry Section 2 Introduction

    3. Applications

    4. Trigonometry What can you use it for?

    10. Practice Set 2 Page 11

    11. Trigonometry Section 2 The Three Trigonometry Ratios

    12. Ratios: Review Ratios are a comparison between two numbers. Ratio: 2-cycle engines: gas to oil Metro area: renters to home owners Metal shop: contract work to custom work Format: 4 to 5 4:5 4/5

    13. Write a Ratio State the ratio of length to width of a picture frame with the following dimensions.

    14. Use trig ratios to solve problems sine ratio cosine ratio tangent ratio Trigonometry Ratios

    15. Sine Ratio Write the sine of angle B.

    17. Sine Ratio Write the sine of angle A.

    19. Properties of Trig Ratios

    20. Practice Set 3 Page 16

    21. Trigonometry Section 2 Sine ratios

    22. Sine Ratios of Other Angles 0? < angle < 90? Each angle has a unique sine ratio. You can determine these ratios with 3 methods.

    25. Determine the sine ratio calculator

    26. Sine Ratio with Calculator Try these with your calculator: sin 1? sin 42? sin 80? sin 89.9?

    27. Practice Set 4 Pages 18 - 19

    28. Trigonometry Section 2 Importance of Sine Ratios

    29. Using Sine Ratios Why is the sine ratio important? The sine ratio of 15? is _____. The sine ratio of 75? is _____. What angle has a sine ratio of 0.7071? What angle has a sine ratio of 0.8660?

    30. Using Sine Ratios

    31. Sine Ratio ? Angle Determine the size of an angle that has a sine ratio of 0.7568 sin A = 0.7568 arcsin(sin A)=arcsin(0.7568) A = arcsin(0.7568) A =

    33. Sine Ratio ? Angle Use your calculator to determine the size of each angle: sin A = 0.9903 ?A = 82? sin X = 0.9397 ?X = 70? sin C = 0.0523 ?C = 3? sin B = 0.3090 ?B = 18?

    34. Practice Set 5 Page 22

    35. Trigonometry Section 2 Use Trig Ratios to Compute Angles and Lengths Sine Ratio

    36. Determine Angles using Sine Use the sine formula to determine the size of angle A.

    37. Use the sine function to determine the size of angle R. Determine Angles using Sine

    38. Practice Set 6 Page 25

    39. Trigonometry Section 2 Use Sine to Determine the Length of a Side (Part I)

    40. Determine Lengths using Sine Use the sine formula to determine the length of side x.

    41. Determine Lengths using Sine

    42. Practice Set 7 Page 28

    43. Trigonometry Section 2 Use Sine to Determine the Length of a Side (Part II)

    46. Practice Set 8 Page 31

    47. Trigonometry Section 2 Solving Lengths and Angles using the Sine formula.

    48. Solving Triangles using Sine With the sine formula we can: Determine an Angle Determine the Length of a Side Opposite Side Hypotenuse

    49. Solving Triangles using Sine Solve for each missing dimension.

    50. Practice Set 9 Page 33

    51. Trigonometry Section 2 The cosine ratio

    53. Cosine Formula The cosine of an angle =

    54. Cosine Ratios Every angle from 0? to 90? has a unique cosine ratio.

    55. Cosine Ratios Try these with your calculator: cos 5? =0.9962 cos 70? =0.3420

    56. Cosine Ratios Try these on your calculator: cos A = 0.9397 A = 20? cos A = 0.0872 A = 85?

    57. Practice Set 10 Page 36

    58. Trigonometry Section 2 Use cosine to compute the size of an angle.

    61. Practice Set 11 Page 38

    62. Trigonometry Section 2 Use Cosine to Determine the Length of a Side

    64. Determine Lengths using Cosine

    65. Practice Set 12 Page 41

    66. Trigonometry Section 2 Solving Lengths and Angles using the Cosine formula.

    67. Solving Triangles using Cosine With the cosine formula we can: Determine an Angle Determine the Length of a Side Adjacent Side Hypotenuse

    68. Solving Triangles using Sine Solve for each missing dimension.

    69. Practice Set 13 Page 43

    70. Trigonometry Section 2 The Tangent Ratio

    72. Tangent Formula The tangent of an angle =

    73. Trigonometry Section 2 Using the Tangent Function to Solve for Angles and Lengths of Sides

    74. Solving Triangles using Tangent With the tangent formula we can: Determine an Angle Determine the Length of a Side Opposite Side Adjacent Side

    75. Solving Triangles using Tangent Solve for each missing dimension.

    76. Practice Set 15 Page 48

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