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Chapter 9 - Trigonometry

Chapter 9 - Trigonometry. Trigonometry:. tri’gonon - triangle. met’ron - measure. 9-1 The Tangent Ratio. B. 5 (opp). 45 . A. C.

joan-mcdonald
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Chapter 9 - Trigonometry

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  1. Chapter 9 - Trigonometry

  2. Trigonometry: tri’gonon - triangle met’ron - measure

  3. 9-1 The Tangent Ratio

  4. B 5 (opp) 45 A C In a right triangle, ABC, the ratio of the length of the leg opposite A to the length of the leg adjacent to A is constant, no matter what lengths are chosen for the sides of the triangle. opposite 5 ----------- = ---- = ?? adjacent ?? ?? (adj)

  5. B 2 (opp) 45 A C In a right triangle, ABC, the ratio of the length of the leg opposite A to the length of the leg adjacent to A is constant, no matter what lengths are chosen for the sides of the triangle. opposite 2 ----------- = ---- = ?? adjacent ?? ?? (adj)

  6. B opposite A C adjacent This trigonometric ratio is called the tangent ratio. length of leg opposite A tangent of A = -------------------------------- length of leg adjacent to A opposite tanA = ----------- adjacent

  7. B adjacent A C opposite length of leg opposite B tangent of B = -------------------------------- length of leg adjacent to B opposite tanB = ----------- adjacent

  8. B 2 2 45 A C What is the tangent of 45? opposite 2 tanA = tan45 = ----------- = ---- = ?? adjacent 2 opposite 2 tanB = tan45 = ----------- = ---- = ?? adjacent 2 Look at the trig table on page 731. What is the tangent of 45? All 45 angles have a tangent of 1.

  9. B ?? 60 A C 2 Look at the trig table on page 731. What is the tangent of 60? All 60 angles have a tangent of 1.7321 (3 ). What is the tangent of 60? opposite ?? tanA = tan60 = ----------- = ---- = ?? adjacent ??

  10. B ?? 60 A C 2 Look at the trig table on page 731. What is the tangent of 30? All 30 angles have a tangent of .5771 (1/3 ). What is the tangent of 30? opposite ?? tanB = tan30 = ----------- = ---- = ?? adjacent ??

  11. Give the tangent ratio for angles A and B.

  12. B x 54 A C 5 Use your calculator, or the trig table, to determine a missing side of a right triangle. x tan 54 = ---- 5 5 tan 54 = x 5 (1.3763) = x

  13. Find the value of x to the nearest tenth.

  14. B 7 x A C 5 Use your calculator, or the trig table, to determine a missing angle of a right triangle. 7 tan x = ---- 5 tan x = 1.4 x = 54.5 

  15. Find the value of x to the nearest degree.

  16. Homework: p. 4721 - 16, 22, 26, 28

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