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 X X

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

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

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

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

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

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 ?

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

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

Radical Review √8 √588 7 √3 25 √15

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

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 3 √58 7

Angle of Elevation

Special Right Triangles √3

Special Right Triangles

DEC 2007 ACT F

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