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Bell Work

Bell Work . Find all coterminal angles with 125° Find a positive and a negative coterminal angle with 315°. Give the reference angle for 212°. . 5.2 Trigonometric Ratios in Right Triangles. Find the missing measures.

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Bell Work

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  1. Bell Work • Find all coterminalangles with 125° • Find a positive and a negative coterminal angle with 315°. • Give the reference angle for 212°.

  2. 5.2 Trigonometric Ratios in Right Triangles

  3. Find the missing measures X X 2.1 13 10.3 8

  4. What is a ratio? A comparison of two numbers B 3 4 The ratio of side AB to side BC can be written as 3 to 4, 3:4, or ¾. (We will use the fraction form) A C 5

  5. Trigonometric ratios Sine (sin) Cosine (cos) Tangent (tan) Cosecant (csc) Secant (sec) Cotangent (cot)

  6. Trigonometric Ratios B Sin C = Opposite Hypotenuse Cos C = Adjacent Hypotenuse Tan C = Opposite Adjacent A C

  7. Find the values of the sine, cosine, and tangent for < B. A 33 18 C B Sin B = opposite = hypotenuse Cos B = Adjacent = hypotenuse Tan B = Opposite = hypotenuse 6 11 √85 11 3√85 6√85 85

  8. Find the values of sine, cosine, and tangent for < A B 15 8 A C sin A = Cos A = tan A = 8 17 15 17 17 8 15

  9. Reciprocal Trig Ratios • What is a reciprocal? • What is the reciprocal of ⅓? • What is the reciprocal of ⅔? • What is the reciprocal of ⅘?

  10. Reciprocal Trig Ratios • csc α = 1 sin α • sec α = 1 cos α • cot α = 1 tan α NOTE: α represents an unknown angle measure

  11. Reciprocal Trig Ratios • If cos α = ½, then sec α = ____ • If sin α = ¾, then csc α = _______. • If cot α = 2, then tan α= _______ 2 4/3 ½

  12. Radical Review √8 √588 7 √3 25 √15

  13. Find the six trigonometric ratios for <P. sin P = csc P = cos P = sec P = tan P = cot P = 7√149 149 √149 7 P 10 10√149 149 √149 10 N M 7 10 7 7 10

  14. Find the six trigonometric ratios for <E. sin E = csc E = cos E = sec E = tan E = cot E = √58 3 3√58 58 F 7 3 √58 7 7√58 58 E D 3 7 7 3

  15. Angle of Elevation

  16. Special Right Triangles 30-60-90 5 5√3

  17. Special Right Triangles 45-45-90 6 6

  18. DEC 2007 ACT F

  19. EXIT PASS Find the EXACT value. • cos A • tan B • csc A

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