Trigonometry

1

Sine, Cosine & Tangent

Legs of a Right Triangle

Trigonometry

2

Cosine

Sine

Tangent

=

=

=

13

12

5

Identify Trigonometric Ratios

adjacent

hypotenuse

opposite

Trigonometry

3

A C

B

sin C =

cos B =

tan B =

cos C =

Find the following Trigonometric ratios.

13

5

12

tan C =(The side lengths are cloned; simply drag to answer box)

SOHCAHTO

A

Student Practice Worksheet

SOHCAHTOA

Trigonometry

4

Finding Side Lengths Using Trig Ratios

1. Label the sides.2. Set up the ratio.3. Solve to the nearest hundredth.

25o

125 ft

x

Finding Side Lengths Using Trig Ratios

1. Label the sides.2. Set up the ratio.3. Solve to the nearest hundredth.

240 ft

x5o

Trigonometry

5

Finding Side Lengths Using Trig Ratios

1. Label the sides.2. Set up the ratio.3. Solve to the nearest hundredth.

70o

x

15 ft

Student Practice Worksheet

SOHCAHTO

A

Trigonometry

6

Find the angle measure to the nearest degree.

tan A = 2.0503

sin U = 0.8746

cos V = 0.6820

Finding Angle MeasuresUsing Trig Ratios

61 64

473316

Finding Angle MeasuresUsing Trig Ratios

1. In relation to the angle you are trying to find, label the sides (adj, opp, hyp).2. Identify the trig function you can use.3. Solve to the nearest degree.

Trigonometry

7

Finding Angle MeasuresUsing Trig Ratios

1. In relation to the angle you are trying to find, label the sides (adj, opp, hyp).2. Identify the trig function you can use.3. Solve to the nearest degree.

Finding Angle MeasuresUsing Trig Ratios

1. In relation to the angle you are trying to find, label the sides (adj, opp, hyp).2. Identify the trig function you can use.3. Solve to the nearest degree.

Trigonometry

8

Finding Angle MeasuresUsing Trig Ratios

1. In relation to the angle you are trying to find, label the sides (adj, opp, hyp).2. Identify the trig function you can use.3. Solve to the nearest degree.

Student Practice Worksheet

Trigonometry

9

Attachments

Finding Trig Ratios Kuta Software worksheet.pdf

Using Trig to Find Angle Measures Kuta Software worksheet.pdf

Using Trig to Find Side Length Kuta software worksheet.pdf

Kuta Software - Infinite Algebra 1 Name___________________________________

Period____Date________________Finding Trigonometric Ratios

Find the value of each trigonometric ratio to the nearest ten-thousandth.

1) tan

A

16

3034

A B

C

2) cos

C

12

915

C B

A

3) sin

Z

16

1220

Z Y

X

4) sin

C

40

3050

C B

A

5) sin

C

14

4850

C B

A

6) sin

Z

48

1450

ZY

X

7) cos

A

3

45

A B

C

8) cos

X

24

1830

X Y

Z

-1-

9) cos

A

3627

45A

B

C

10) cos

Z

15

20

25

Z

Y X

11) sin

Z

24

1830

Z Y

X

12) sin

C

27

36

45

C

B A

13) cos

X

8

1517

XY

Z

14) tan

A

4030

50A

B

C

15) tan

X

18

24

30

X

Y Z

16) tan

X

20

15

25

X

Y Z

Use a calculator to find the value of each to the nearest ten-thousandth.

17) sin 21° 18) tan 22°

19) cos 20° 20) sin 77°

21) tan 17° 22) cos 87°

-2-

Kuta Software - Infinite Algebra 1 Name___________________________________

Period____Date________________Finding Trigonometric Ratios

Find the value of each trigonometric ratio to the nearest ten-thousandth.

1) tan

A

16

3034

A B

C

1.8750

2) cos

C

12

915

C B

A

0.8000

3) sin

Z

16

1220

Z Y

X

0.6000

4) sin

C

40

3050

C B

A

0.6000

5) sin

C

14

4850

C B

A

0.9600

6) sin

Z

48

1450

ZY

X

0.2800

7) cos

A

3

45

A B

C

0.6000

8) cos

X

24

1830

X Y

Z

0.8000

-1-

9) cos

A

3627

45A

B

C

0.8000

10) cos

Z

15

20

25

Z

Y X

0.6000

11) sin

Z

24

1830

Z Y

X

0.6000

12) sin

C

27

36

45

C

B A

0.8000

13) cos

X

8

1517

XY

Z

0.4706

14) tan

A

4030

50A

B

C

0.7500

15) tan

X

18

24

30

X

Y Z

1.3333

16) tan

X

20

15

25

X

Y Z

0.7500

Use a calculator to find the value of each to the nearest ten-thousandth.

17) sin 21°

0.3584

18) tan 22°

0.4040

19) cos 20°

0.9397

20) sin 77°

0.9744

21) tan 17°

0.3057

22) cos 87°

0.0523

-2-

SMART Notebook

Kuta Software - Infinite Algebra 1 Name___________________________________

Period____Date________________Using Trigonometry to Find Angle Measures

Find each angle measure to the nearest degree.

1) tan A = 2.0503 2) cos Z = 0.1219

3) tan Y = 0.6494 4) sin U = 0.8746

5) cos V = 0.6820 6) sin C = 0.2756

Find the measure of the indicated angle to the nearest degree.

7)

5155

?

8)

1927

?

9)

3455

?

10)

1424

?

11)

38

29

?

12)

20

8

?

13)

42

34

?

14)

52

56

?

-1-

15)

8

17

?

16)

13

18

?

17)

39

34

?

18)

51

54

?

19) 26

45

?

20)

1619

?

21)

5776

95

?

22) 21

72 75

?

23)

33 44

55

?

24)

65

72

97 ?

25)

56

33

65?

26)

2470

74

?

-2-

Kuta Software - Infinite Algebra 1 Name___________________________________

Period____Date________________Using Trigonometry to Find Angle Measures

Find each angle measure to the nearest degree.

1) tan A = 2.0503

64°

2) cos Z = 0.1219

83°

3) tan Y = 0.6494

33°

4) sin U = 0.8746

61°

5) cos V = 0.6820

47°

6) sin C = 0.2756

16°

Find the measure of the indicated angle to the nearest degree.

7)

5155

?

68°

8)

1927

?

45°

9)

3455

?

38°

10)

1424

?

36°

11)

38

29

?

37°

12)

20

8

?

22°

13)

42

34

?

39°

14)

52

56

?

22°

-1-

15)

8

17

?

62°

16)

13

18

?

44°

17)

39

34

?

41°

18)

51

54

?

71°

19) 26

45

?

55°

20)

1619

?

57°

21)

5776

95

?

53°

22) 21

72 75

?

74°

23)

33 44

55

?

53°

24)

65

72

97 ?

48°

25)

56

33

65?

31°

26)

2470

74

?

71°

-2-

SMART Notebook

Kuta Software - Infinite Algebra 1 Name___________________________________

Period____Date________________Using Trigonometry To Find Lengths

Find the missing side. Round to the nearest tenth.

1)

x

10

27°

2)

x

10

25°

3)

x

7

39°

4)

8x

46°

5)

x

6

23°

6)

7

x

46°

7) x

20 72°

8) x

12

54°

-1-

9)

x

1940°

10)

x

10

31°

11)

20x

38°

12) 19

x

74°

13)

x

18

16°

14)

x20

40°

15) x

3422°

16)

x

22

43°

17)

23

x

63°

18)

37x

37°

-2-

Kuta Software - Infinite Algebra 1 Name___________________________________

Period____Date________________Using Trigonometry To Find Lengths

Find the missing side. Round to the nearest tenth.

1)

x

10

27°

5.1

2)

x

10

25°

4.7

3)

x

7

39°

5.4

4)

8x

46°

11.1

5)

x

6

23°

2.5

6)

7

x

46°

6.8

7) x

20 72°

61.6

8) x

12

54°

7.1

-1-

9)

x

1940°

12.2

10)

x

10

31°

6.0

11)

20x

38°

25.6

12) 19

x

74°

68.9

13)

x

18

16°

5.0

14)

x20

40°

12.9

15) x

3422°

12.7

16)

x

22

43°

15.0

17)

23

x

63°

50.7

18)

37x

37°

61.5

-2-

SMART Notebook

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