# Trigonometric RatiosName: Section 13-6 & 13-7Group: 1. Complete each definition: In right triangle ABC with right angle C, the sine of  A is written as.

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Trigonometric RatiosName: Section 13-6 & 13-7Group: 1. Complete each definition: In right triangle ABC with right angle C, the sine of  A is written as __________________________________________ the cosine of  A is written as ________________________________________ the tangent of  A is written as _______________________________________ 2. Using  XYZ with right angle Z shown on the right, find each ratio. Then find m  Y to the nearest degree using a protractor and find the value of trigonometric ratio using a calculator or table. sin Y = __________ =___________ cos Y = __________ =__________ tan Y = __________ = __________ 3. Use a calculator or table to find each ratio, (rounding off the answer to four places after the decimal point) then draw a right triangle with an angle of 38º and sides of any length. Measure the sides to the nearest millimeter and find each trigonometric ratio. sin 38º = __________= __________ cos 38º = __________= __________ tan 38º = __________= __________ 4. Using the special right triangle below find each trigonometric ratio exactly. 5’ 12’ Z X Y sin 60° = _______ cos 60° = _______ tan 60° = _______ sin 30° = _______ cos 30° = _______ tan 30° = _______ 30º Ratio by sides Ratio by table or calculator

Trigonometric RatiosName: Using the Tangent RatioGroup: 1.Find the altitude and then the area of the parallelogram shown below. 2.A line is graphed on the coordinate plane, passes through the origin, the first and third quadrants and makes a 36º with x – axis. Find the slope of this line 3.A tree, 15 feet tall, has a shadow 24 feet long. Find the angle of elevation with the sun. 74º 5 cm6 cm

1.Complete each of the triangle constructions on this sheet. Construct  ABC with AC = 4”, BC = 7.5”, and BA = 8.5” Construct  IJK with IK = 8 cm, JK = 15 cm, and IJ= 17 cm Construct  TUV with TV = 40 mm, UV = 75 mm, and TU = 85 mm 2. Then complete the table for each trigonometric ratio. Trigonometric RatiosName:________________ College GeometryDate:_________________

1.Complete each of the triangle constructions Construct  ABC with AC = 3”, BC = 4”, and BA = 5” Construct  IJK with IK = 6 cm, JK = 8 cm, and IJ= 10 cm Construct  TUV with TV = 90 mm, UV = 120 mm, and TU = 150 mm 2. Then complete the table for each ratio. Similar FiguresName:________________ College GeometryDate:_________________

measure sine cosine tangent Trigonometric RatiosName:________________ College GeometryDate:_________________ AITBJUAITBJU

 A  I  T  B  J  U Measure of the angle with a protractor to the nearest degree the length of the opposite leg divided by length of the hypotenuse the length of the adjacent leg divided by length of the hypotenuse the length of the opposite leg divided by length of the adjacent leg Similar FiguresName:________________ College GeometryDate:_________________

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