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Right Triangle Trigonometry Solving Right Triangles Prepared by Title V Staff: Daniel Judge, Instructor Ken Saita, Program Specialist East Los Angeles.

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Presentation on theme: "Right Triangle Trigonometry Solving Right Triangles Prepared by Title V Staff: Daniel Judge, Instructor Ken Saita, Program Specialist East Los Angeles."— Presentation transcript:

1 Right Triangle Trigonometry Solving Right Triangles Prepared by Title V Staff: Daniel Judge, Instructor Ken Saita, Program Specialist East Los Angeles College EXIT BACKNEXT Click one of the buttons below or press the enter key © 2002 East Los Angeles College. All rights reserved.

2 Consider a Right Triangle. Note – a is the leg opposite  c is the leg opposite our right angle b is the leg adjacent to  EXIT BACKNEXT

3 So that we have the following right triangle. EXIT BACKNEXT

4 The six trigonometric ratios are defined as follows: EXIT BACKNEXT

5 What are the six trigonometric ratios for  ? Note – We need the length of one of the legs of our right triangle. EXIT BACKNEXT

6 Use the Pythagorean Theorem... EXIT BACKNEXT

7 For this triangle we get: hyp adj  opp  EXIT BACKNEXT

8 Notice we have another angle at . EXIT BACKNEXT

9 We can obtain the six trigonometric ratios for , HYP opp  adj  hyp EXIT BACKNEXT

10 Together the model looks as follows. HYP adj  / opp  opp  / adj  hyp With  +  = 90° EXIT BACKNEXT

11 Recall the 45º - 45º - 90º Special Triangle. What are the six trigonometric ratios for 45º? EXIT BACKNEXT

12 hyp opp 45º adj 45º EXIT BACKNEXT

13 hyp opp 45º adj 45º EXIT BACKNEXT

14 Recall the 30º - 60º - 90º special triangle. What are the six trigonometric ratios for 30 º ? What are the six trigonometric ratios for 60 º ? EXIT BACKNEXT

15 For 60º hyp opp 60º / adj 30º opp 30º / adj 60º EXIT BACKNEXT

16 Thus, hyp opp 60º / adj 30º opp 30º / adj 60º EXIT BACKNEXT

17 For 30º hyp opp 60º / adj 30º opp 30º / adj 60º EXIT BACKNEXT

18 Thus, hyp opp 60º / adj 30º opp 30º / adj 60º EXIT BACKNEXT

19 Summary  sin(  )cos(  )tan(  ) 30º 45º1 60º EXIT BACKNEXT

20 End of Right Triangle Trigonometry Title V East Los Angeles College 1301 Avenida Cesar Chavez Monterey Park, CA Phone: (323) Us At: Our Website: EXIT BACKNEXT


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