1. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 10-1 Tangent Ratios

2. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Definition Trigonometry comes from the Greek words trigon meaning triangle and metria meaning measurement 10.1 Tangent Ratios

3. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 10.1 Tangent Ratios 1.Draw a 40° angle using a protractor measure the two legs What is the ratio of the perpendicular legs?

4. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 10.1 Tangent Ratios 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 triangle, or Conclusion: opposite adjacent tan  =.

5. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 10.1 Tangent Ratios 2. Find tan  in this triangle.  2.9 cm 3.8 cm

6. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 10.1 Tangent Ratios 3. Find measure of  in this triangle.  8 cm 11 cm

7. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 10.1 Tangent Ratios 4. Find tan 42° 5. tan α = 0.7369

8. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 10.1 Tangent Ratios 6. Find tan β = 1.1347 7. Find an angle whose tangent is 5/7

9. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 10.1 Tangent Ratios 8. Solve for x 32° 12 x

10. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 10.1 Tangent Ratios 9. Find the measure of each angle

11. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Assignment Page 634 # 8-33, 35,38 and 39