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Add hypotenuse, the three proportions, Pythagorean Thm. and Converse(obtuse, acute),

Add hypotenuse, the three proportions, Pythagorean Thm. and Converse(obtuse, acute), multiply fractions vs. proportions, 45-45-90 and 30-60-90 formulas, Pythagorean triple, sin, cos, tangent to vocab list. Geometry. 8.6 The Sine and Cosine Ratios. Sine ratio =.

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Add hypotenuse, the three proportions, Pythagorean Thm. and Converse(obtuse, acute),

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  1. Add hypotenuse, the three proportions, Pythagorean Thm. and Converse(obtuse, acute), multiply fractions vs. proportions, 45-45-90 and 30-60-90 formulas, Pythagorean triple, sin, cos, tangent to vocab list

  2. Geometry 8.6 The Sine and Cosine Ratios

  3. Sine ratio= The sine ratio is the ratio of the length of the legs in a Rt. ∆ opposite leg hypotenuse Sine of <A: A adjacent leg B hypotenuse Sine of <B: adjacent leg opposite leg

  4. Cosine ratio= The cosine ratio is the ratio of the length of the legs in a Rt. ∆ opposite leg hypotenuse Cosine of <A: A adjacent leg B hypotenuse Cosine of <B: adjacent leg opposite leg

  5. Easily remember all 3 trig ratios! • S o h • C a h • T o a sin opposite hypotenuse cos adjacent hypotenuse tan opposite adjacent

  6. B 51 B A 15 9 24 45 A 12 B 10 5 A A B 6

  7. 1) Express Sin A, Sin B, Cos A, and Cos B as ratios. 51 H B A O 24 45 A O A

  8. Answers 2) sin A = 3/5, sin B = 4/5, cos A = 4/5, cos B = 3/5 3) sin A = 1/2, sin B = , cos A = , cos B = 3/5 4) All ratios are

  9. x y Exercises 13. Find the value of x and y to the nearest tenth. A O 52o (34).7880 ≈ x 34 H (34).6157 ≈ y

  10. 16 x y 43 52 y x 34 y 47 x x 6 y x x 75 44 13 x 37 60 n n n 17. 5

  11. Exercises 15. Find the value of x and y to the nearest tenth. y 5.6 a 5.6 A 6 47o sin 47 = 6 x tan 47 = a 6 .7314 ≈ 6 6 H x 1.0724 ≈ O a x x 6 x(.7314) ≈ 6 a(1.0724) ≈ 6 6 x ≈ .7314 a ≈ 1.0724 x ≈ 8.2 a ≈ 5.6 y ≈ 11.2

  12. Exercises 17. Find n to the nearest degree. 37 cos n = 60 37 A H 60 .6166 cos n ≈ no n ≈ 52o

  13. HW P. 313 CE (1-13)Odds P. 314 (1-17) Odds • x ≈ 11.7, y ≈ 10.9 • x ≈ 85, y ≈ 82.1 • x = 12, n ≈ 67o

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