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9.2 Sine and Cosine Chapter 9 Right Triangle Trigonometry.

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1 9.2 Sine and Cosine Chapter 9 Right Triangle Trigonometry

2 TANGENT Tangent <C = length of opposite leg length of adjacent leg tan C = opp adj tan C = 3 4 C 5 4 3

3 SINE Sine <A = length of opposite leg length of hypotenuse sin A = opp hyp sin A = 11 13 A 11

4 COSINE Cosine B = length of adjacent leg length of hypotenuse cos B = adj hyp cos B = 4 5 B 5 4

5 “SOH-CAH-TOA” SOH: Sin = opp hyp CAH: Cos = adj hyp TOA: Tan = opp adj A B C 3 4 5

6 “SOH-CAH-TOA” A B C 3 4 5 Sin A = Cos A= Tan A= Sin C= Cos C= Tan C=

7 Your turn… m 7 33 x 12 23 4 a 47 16 y 50 40 z

8 Your turn… 16 y 50 40 z “SOH-CAH-TOA”

9 INVERSE SIN, COS, TAN SIN -1 opp = x hyp COS -1 adj = x hyp TAN -1 opp = x adj *You use the inverse of the function to solve for angle measure.

10 Try These…. 15 7 x 30 12 w 4 15 v 16 y 18 z

11 Practice Pg 479 1-17, 22-24


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