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# Basic trig functions_forbes

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An introduction to the sine, cosine, and tangent functions. Appropriate for students enrolled in algebra, geometry, trig, or precalculus.

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### Basic trig functions_forbes

1. 1. Melanie ForbesBasic TrigFunctionsAn Introduction to Sine,Cosine, and Tangent
2. 2. Mosque Detail, provided by Let’s Book (Jamie Carter)on Flickr, Creative Commons, some rights reserved, April2009, Seoul, Korea.
3. 3. What are Trig Functions? Let’s look at 3 similar triangles  If the angles of one triangle are exactly the same as the angles of another, those triangles are similar.
4. 4. β 53 θ 4 β 7.5 4.5 θ 6 β 106 These are 3 similar right triangles; they each have a 90° angle, θ equal angles θ, and equal 8 angles β.
5. 5. Comparing Sides β 5 3 θ 4
6. 6. Comparing Sides β 7.5 4.5 θ 6
7. 7. Ratios are the Same Did you notice that each of the 3 similar triangles, even though the triangles were different sizes, had the exact same ratio of sides?
8. 8. βComparing Sides 6 10 θ 8
9. 9. The Sine Function β 5 3 θ 4
10. 10. Mosaic Tile Medallion, provided by A. Davey on flickr,Creative Commons, Some rights reserved, April 2010,Mosque, Esfahan, Iran.
11. 11. Practice In each triangle, determine sine θ.  Just click to see the correct answer
12. 12. What is Sine θ?  25 24 θ 7
13. 13. What is Sine θ?  θ 419 40
14. 14. What is Sine θ? 5  13 12 θ
15. 15. Left Arrows Reverse Button, Provided by: MicrosoftHow did you do? Ifyou correctly identified the sine ratios in those triangles, click to move to the next section. Otherwise, click below to go back. Go to the beginning Review the sine ratio
16. 16. Decorative and Calligraphic Tilewormk, provided by A.Davey on flickr, Creative Commons, Some rights reserved,April 2010, Mosque, Esfahan, Iran.
17. 17. The Cosine Function β 5 3 θ 4
18. 18. Practice In each triangle, determine cosine θ.  Just click to see the correct answer
19. 19. What is Cosine θ?  25 24 θ 7
20. 20. What is Cosine θ?  θ 419 40
21. 21. What is Cosine θ? 5  13 12 θ
22. 22. Left Arrows Reverse Button, Provided by: MicrosoftHow did you do? Ifyou correctly identified the cosine ratios in those triangles, click to move to the next section. Otherwise, click below to go back.Review the sine ratio Review the cosine ratio
23. 23. 3D Ornamental Mosaic Tile, provided by A. Davey on flickr,Creative Commons, Some rights reserved, April 2010, Mosque,Kerman, Iran
24. 24. The Tangent Ratio β 5 3 θ 4
25. 25. Practice In each triangle, determine tangent θ.  Just click to see the correct answer
26. 26. What is Tangent θ?  25 24 θ 7
27. 27. What is Tangent θ?  θ 419 40
28. 28. What is Tangent θ? 5  13 12 θ
29. 29. Left Arrows Reverse Button, Provided by: MicrosoftHow did you do? Ifyou correctly identified the tangent ratios in those triangles, click to move to the next section. Otherwise, click below to go back.Review the cosine ratio Review the tangent ratio
30. 30. SOH – CAH - TOA You can remember the definitions of the 3 trig ratios with a mnemonicSOH: Sin=Opposite/HypotenuseCAH: Cos=Adjacent/HypotenuseTOA: Tan=Opposite/Adjacent
31. 31. Detail 3-D Tilework, provided by A. Davey on flickr, CreativeCommons, Some rights reserved, April 2010, Mosque,Esfahan, Iran.
32. 32. Detail 3-D Tilework, provided by A. Davey on flickr, Creative Commons, Some rights reserved, April 2010, Mosque, Esfahan, Iran.Thanks forWatching.Any idea why I includedpictures from the Middle East?