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

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5.2 Trigonometric Ratios in Right Triangles

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Find the missing measures X X 2.1 13 10.3 8

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What is a ratio? 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 A comparison of two numbers

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

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Trigonometric Ratios BSin C = Opposite Hypotenuse Cos C = Adjacent Hypotenuse Tan C = Opposite Adjacent A C

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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 = Adjacent 3√85 6 11 √85 11 6√85 85

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

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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 ?

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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

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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

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Radical Review √8 √588 7 √3 25 √15

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

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Find the six trigonometric ratios for <E. sin E = csc E = cos E = sec E = tan E = cot E = D E F 73 3√58 58 7√58 58 3737 7373 √58 3 √58 7

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Angle of Elevation

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

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Special Right Triangles 45-45-90 6 6

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DEC 2007 ACT F

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EXIT PASS Find the EXACT value. 1.cos A 2.tan B 3.csc A

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