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Section 10-1 Tangent Ratios

Section 10-1 Tangent Ratios. 10.1 Tangent Ratios. Definition. Trigonometry comes from the Greek words trigon meaning triangle and metria meaning measurement. 10.1 Tangent Ratios. Draw a 40 ° angle using a protractor measure the two legs What is the ratio of the perpendicular legs?.

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Section 10-1 Tangent Ratios

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  1. Section 10-1 Tangent Ratios

  2. 10.1 Tangent Ratios Definition Trigonometry comes from the Greek words trigon meaning triangle and metria meaning measurement

  3. 10.1 Tangent Ratios • Draw a 40° angle using a protractor • measure the two legs • What is the ratio of the perpendicular legs?

  4. Conclusion: For a given acute angle A with a measure of  , the tangent of A , or tan , is the ratio of the length of the leg opposite A to the length of the leg adjacent to A in any right opposite triangle, or adjacent . tan  = 10.1 Tangent Ratios

  5. 10.1 Tangent Ratios 2. Find tan in this triangle. 2.9 cm  3.8 cm

  6. 10.1 Tangent Ratios 3. Find measure of in this triangle.  8 cm 11 cm

  7. 10.1 Tangent Ratios 4. Find tan 42° 5. tan α = 0.7369

  8. 10.1 Tangent Ratios 6. Find tan β = 1.1347 7. Find an angle whose tangent is 5/7

  9. 10.1 Tangent Ratios 8. Solve for x x 32° 12

  10. 10.1 Tangent Ratios 9. Find the measure of each angle

  11. Assignment Page 634 # 8-33, 35,38 and 39

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