Trigonometric Ratios Name:

Section 13-6 & 13-7 Group:

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 mY 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 sidesRatio by table or calculator

Trigonometric Ratios Name:

Using the Tangent Ratio Group:

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 cm 6 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 Ratios Name:________________

College Geometry Date:_________________

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 Figures Name:________________

College Geometry Date:_________________

measure sine cosine tangent

Trigonometric Ratios Name:________________

College Geometry Date:_________________

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 Figures Name:________________

College Geometry Date:_________________