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Who remembers the Trig Functions? Sine Sine Tangent Tangent Cosine Cosine.

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Presentation on theme: "Who remembers the Trig Functions? Sine Sine Tangent Tangent Cosine Cosine."— Presentation transcript:

1 Who remembers the Trig Functions? Sine Sine Tangent Tangent Cosine Cosine

2 SOH CAH TOA SOH = sine is opposite over hypotenuse CAH =cosine is adjacent over hypotenuse TOA = tangent is opposite over adjacent SOH CAH TOA

3 (2007). Trigonometry. Retrieved February 5, 2007, from Wikipedia: The Free Encyclopedia Web site: http://en.wikipedia.org/wiki/Trigonometryhttp://en.wikipedia.org/wiki/Trigonometry In this right triangle: sin(A) = a/c; cos(A) = b/c; tan(A) = a/b. Trig Functions

4 When will we use trig? http://teachertube. com/viewVideo.ph p?video_id=10006 5&title=Using_Trig _in_Real_Life http://teachertube. com/viewVideo.ph p?video_id=10006 5&title=Using_Trig _in_Real_Life http://teachertube. com/viewVideo.ph p?video_id=10006 5&title=Using_Trig _in_Real_Life http://teachertube. com/viewVideo.ph p?video_id=10006 5&title=Using_Trig _in_Real_Life

5 Do you a have a creative way to remember the ratios?

6 The sine, cosine and tangent ratios in right triangles can be remembered by SOH CAH TOA (sine-opposite-hypotenuse cosine-adjacent-hypotenuse tangent- opposite-adjacent). It is commonly referred to as "Sohcahtoa" by some American mathematics teachers, who liken it to a (nonexistent) Native American girl's or mountain's name.Native American (2007). Trigonometry. Retrieved February 5, 2007, from Wikipedia: The Free Encyclopedia Web site: http://en.wikipedia.org/wiki/Trigonometryhttp://en.wikipedia.org/wiki/Trigonometry

7 What about a 45-45-90 Δ What about a 45°-45°-90° Δ B A C 2 1 1 Sin<A = Cos<A = Tan<A = You can find the sin, cos and tan of either angle. Find them for <B. The angle can be named <A or sin 45°

8 What about a 30-60-90 Δ ? What about a 30°-60°-90° Δ ? A B C 1 2 3 Sin<A = Cos<A = Tan<A =

9 Try this one! C B A 6 3 3

10 Look for a pattern:

11 If you find out that the sine of an angle is equal to.5 or ½, what can you say about the angle? What can you say about the triangle if it has a right angle? If the sine of one angle is ½ and the triangle is a right triangle, you have a 30-60-90 triangle.

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13 Learn these!!!!


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