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Worksheets

Trigonmetry

Total questions: 44

Worksheet time: 2hrs 53mins

Name
Class
Date
1.

What is the measure of the side of the triangle that is adjacent to angle A

a)

13

b)

12

c)

5

d)

not enough information given

2.

What is the measure of the side of the triangle that is opposite to angle A

a)

13

b)

12

c)

5

d)

not enough information given

3.

What is sin(A) ?

a)

1237\frac{12}{37}

b)

1235\frac{12}{35}

c)

3537\frac{35}{37}

d)

3512\frac{35}{12}

4.

What is cos(A) ?

a)

1237\frac{12}{37}

b)

1235\frac{12}{35}

c)

3537\frac{35}{37}

d)

3512\frac{35}{12}

5.

What is cos(c) ?

a)

1237\frac{12}{37}

b)

1235\frac{12}{35}

c)

3537\frac{35}{37}

d)

3512\frac{35}{12}

6.

Cos(Z)=

a)

1517\frac{\text{15}}{\text{17}}

b)

817\frac{\text{8}}{\text{17}}

c)

sin(x)

d)

tan(z)

7.

tan(A) = ?

a)

2021\frac{\text{20}}{\text{21}}

b)

2120\frac{\text{21}}{\text{20}}

c)

tan(C)

d)

BCBA\frac{\overline{BC}}{\overline{BA}}

8.

sin(A) = ?

a)

2021\frac{20}{21}

b)

2029\frac{20}{29}

c)

cos(A)

d)

cos(C)

9.
Find Cos(A) as a decimal rounded the the nearest ten-thousandth.
a)
.4706
b)
1.875
c)
.8824
d)
.5333
10.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
11.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

48.9°

b)

60.7°

c)

29.3°

d)

41.1°

12.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

13.

What is the correct set up for the problem to solve for side w?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

14.

Choose the correct set up to find the length of the side x.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

15.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

16.

Use the triangle to find the

sinZ=\sin Z=  
Be sure to reduce the answer, if needed.

a)

35\frac{3}{5}  

b)

45\frac{4}{5}  

c)

34\frac{3}{4}  

d)

53\frac{5}{3}  

17.

Use the triangle to find the

secZ=\sec Z=  
Be sure to reduce the answer, if needed.

a)

35\frac{3}{5}  

b)

45\frac{4}{5}  

c)

34\frac{3}{4}  

d)

54\frac{5}{4}  

18.

Use the triangle to find the

cotZ=\cot Z=  
Be sure to reduce the answer, if needed.

a)

35\frac{3}{5}  

b)

45\frac{4}{5}  

c)

34\frac{3}{4}  

d)

43\frac{4}{3}  

19.

Use the triangle to find the

sinX=\sin X=  
Be sure to reduce the answer, if needed.

a)

35\frac{3}{5}  

b)

45\frac{4}{5}  

c)

34\frac{3}{4}  

d)

54\frac{5}{4}  

20.

Use the triangle to find the

cosX=\cos X=  
Be sure to reduce the answer, if needed.

a)

35\frac{3}{5}  

b)

45\frac{4}{5}  

c)

34\frac{3}{4}  

d)

53\frac{5}{3}  

21.

Use the triangle to find the

tanX=\tan X=  
Be sure to reduce the answer, if needed.

a)

35\frac{3}{5}  

b)

45\frac{4}{5}  

c)

34\frac{3}{4}  

d)

43\frac{4}{3}  

22.

Use the triangle to find the

tanα=\tan\alpha=  
Be sure to reduce the answer, if needed.

a)

158\frac{15}{8}  

b)

815\frac{8}{15}  

c)

817\frac{8}{17}  

d)

1517\frac{15}{17}  

23.

Use the triangle to find the length of the missing side. Leave your answer in radical form.

a)

115\sqrt{115}

b)

5\sqrt{5}

c)

277\sqrt{277}

d)

23\sqrt{23}

24.

Use the triangle to find the length of the missing side. Leave your answer in radical form.

a)

157\sqrt{157}

b)

5\sqrt{5}

c)

85\sqrt{85}

d)

17\sqrt{17}

25.
                                                                                                                               
                                          Solve for DE
a)
36.5
b)
18.8
c)
8.5
d)
7.9
26.
                                                            Solve for WI
a)
7.9
b)
12.7
c)
6.2
d)
16.2
27.
Find m∠N                                                                                                                                               
a)
14
b)
65
c)
76
d)
53
28.
                                                                                                                                                                                                       
Find m∠S
a)
21
b)
69
c)
23
d)
67
29.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
30.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

31.

Choose the correct set up to find the length of the side x.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

32.
Find the ratio for sinA. (Reduce the fraction)
a)
36/27
b)
4/5
c)
36/45
d)
3/5
33.

What is the correct set up for the problem to find the measure of the indicated angle?

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

34.

Find the length of side x.

a)

10

b)

11.3

c)

12.0

d)

15.0

35.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

48.9°

b)

60.7°

c)

29.3°

d)

41.1°

36.

Find the ratio for cosA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

27/45

d)

3/5

37.

Find the ratio for tanA. (Reduce the fraction)

a)

36/27

b)

4/3

c)

36/45

d)

4/5

38.

Choose the correct set up to find the length of the side x.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

39.
What is the cosine of θ?
a)
15/8
b)
15/17
c)
17/15
d)
8/15
40.

Which expression is correct for "y"?

a)

y = tan–1(31/23)

b)

y = sin–1(31/23)

c)

y = cos–1(31/23)

41.
Find m∠N                                                                                                                                               
a)
14
b)
65
c)
76
d)
53
42.
                                                                                                                                                                                                       
Find m∠S
a)
21
b)
69
c)
23
d)
67
43.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
44.
Find Tan A
a)
21/20
b)
29/20
c)
21/29
d)
20/21