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9.2 Sine and Cosine

9.2 Sine and Cosine. Chapter 9 Right Triangle Trigonometry. TANGENT. Tangent <C = length of opposite leg length of adjacent leg tan C = opp adj tan C = 3 4. 5. 3. C. 4. SINE. Sine <A = length of opposite leg length of hypotenuse sin A = opp

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9.2 Sine and Cosine

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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 5 3 C 4

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

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

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

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

  7. Your turn… m = 7 sin 33 sin 33 = 7 1 m 12 x = 5.09 x 33 23 m m = 12.85 x = (tan 23) (12) tan 23 = x 1 12 7 16 cos 47 = 4 1 a a = 4 cos 47 40 a z y a = 5.87 50 47 4

  8. Your turn… Sin 50 = 16 Sin 40 = z y y Cos 50 = z Cos 40 = 16 y y Tan 50 = 16 Tan 40 = z z 16 “SOH-CAH-TOA” y = 20.89 z = 13.43 16 40 z y 50

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

  10. Try These…. x = sin-1 (7/15) 12 30 x x = 27.82 w 15 w = tan-1 (30/12) w = 68.20 7 16 y = tan-1 (16/18) v = cos-1 (4/15) z y = 41.63 v = 74.53 15 18 z = tan-1 (18/16) y z = 48.37 v 4

  11. Practice • Pg 479 1-17, 22-24

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