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Trig Ratios Activity Sheet

The document provides instructions for using an online trigonometry calculator to explore sine and cosine ratios by manipulating angles and side lengths of a right triangle and recording values in tables. Students are asked to observe patterns in the tables, calculate trigonometric functions using a calculator, predict values, define what sine and cosine calculate, and use the functions to determine side lengths of triangles.

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Lisa Bejarano
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12K views2 pages

Trig Ratios Activity Sheet

The document provides instructions for using an online trigonometry calculator to explore sine and cosine ratios by manipulating angles and side lengths of a right triangle and recording values in tables. Students are asked to observe patterns in the tables, calculate trigonometric functions using a calculator, predict values, define what sine and cosine calculate, and use the functions to determine side lengths of triangles.

Uploaded by

Lisa Bejarano
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Name using computer:

Name person writing: Discovering Trigonometric Ratios 4. Set your triangle so that angle A is a different measurement 5. change the lengths of the sides 6. complete the table below
Angle A Length BC Length AC Length BC Length AC

Go to http://www.geogebratube.org/student/m9694, you should see a dynamic right triangle.

1. Set your triangle so that angle A is 35 . 2. change the lengths of the sides 3. complete the table below
Angle A Length BC Length AC Length BC Length AC

35 35 35 35 7. What do you notice? 8. Using a calculator, calculate: sin 35o = 10. How is this related to the values that you calculated in the tables above? 9. Calculate sin of your other angle: sin ____ =_____ 11. Using only a calculator, predict the value if you set angle A to 82o and calculated ?

12. Describe sin and what it calculates, using a complete sentence:

13. Using sin, show how you could find the length of BC:

14. Check your answers using the geogebra triangle. Were you right?

****SWITCH ROLES***** Name using computer: Name person writing:

15. Set your triangle so that angle A is 55 . 16. change the lengths of the sides 17. complete the table below
Angle A Length BA Length AC Length BA Length AC

18. Set your triangle so that angle A is a different measurement 19. change the lengths of the sides 20. complete the table below
Angle A Length BA Length AC Length BA Length AC

55 55 55 55 21. What do you notice? 22. Using a calculator, calculate: cos 55o = 24. How is this related to the values that you calculated in the tables above? 23. Calculate cos of your other angle: cos ____ =_____ 25. Using only a calculator, predict the value if you set angle A to 82o and calculated ?

26. Describe cos and what it calculates, using a complete sentence:

27. How is cos different from sin?

28. Using cos, show how you could find the length of AB in the triangle to the right:

29. Check your answers using the geogebra triangle. Were you right?

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