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Worksheets

SOH CAH TOA

Total questions: 37

Worksheet time: 2hrs 34mins

Name
Class
Date
1.

SOH

a)

sin⁡ x = OppHyp\sin\ x\ =\ \frac{Opp}{Hyp}

b)

cos⁡ x= OppHyp\cos\ x=\frac{\ Opp}{Hyp}

c)

tan⁡ x = OppHyp\tan\ x\ =\ \frac{Opp}{Hyp}

d)

sin⁡ x =AdjHyp\sin\ x\ =\frac{Adj}{Hyp}

2.

Which leg is ADJACENT to angle C?

a)

21

b)

20

c)

29

d)

0.2411

3.

What is cos B?

a)

35\frac{3}{5}

b)

34\frac{3}{4}

c)

45\frac{4}{5}

d)

53\frac{5}{3}

4.

What is tan⁡θ?What\ is\ \tan\theta?  

a)

815\frac{8}{15}  

b)

817\frac{8}{17}  

c)

1517\frac{15}{17}  

d)

158\frac{15}{8}

5.
What is the acronym to help you remember the ratios to use in trigonometry?
a)

RIGHTANG

b)

SOHCAHTOA

c)

SHOCHATOA

d)

SAHCOHTAO

6.
What is the correct ratio?
a)

sin⁡ 40 = w28\sin\ 40\ =\ \frac{w}{28}

b)

cos⁡ 40 = w28\cos\ 40\ =\ \frac{w}{28}

c)

tan⁡ 40 = w28\tan\ 40\ =\ \frac{w}{28}

d)

sin⁡ 40 = 28w\sin\ 40\ =\ \frac{28}{w}

7.

If you are given the two legs that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

8.

If you are given the opposite leg and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

9.

Which trig ratio would you use to solve for x?

a)

sine

b)

cosine

c)

tangent

d)

rational

10.
tan(19˚) = 
a)

0.3255

b)

0.3443

c)

0.9455

d)

86.9872

11.

Using your calculator, find cos 25°.

a)

0.9000

b)

0.9063

c)

0.4213

d)

0.9963

12.

Solve for x.

a)

9.8

b)

10.0

c)

0.038

d)

9.9

13.
Solve for x. Round to the nearest tenth.
a)

103.5

b)

4.7

c)

55.0

d)

9.7

14.
Choose the correct ratio.
a)

cos(33)=x/14 cos⁡ 33° = x14\cos\ 33\degree\ =\ \frac{x}{14}

b)

sin⁡ 33° = x14\sin\ 33\degree\ =\ \frac{x}{14}

c)

cos⁡ 33° = 14x\cos\ 33\degree\ =\ \frac{14}{x}

d)

sin⁡ 33° = 14x\sin\ 33\degree\ =\ \frac{14}{x}

15.
What is the ratio for cosine?
a)
H/A
b)
O/A
c)
A/H
d)
A/O
16.
What is the ratio for tangent?
a)
O/A
b)
A/O
c)
A/H
d)
O/H
17.
What is the ratio for sine?
a)
O/H
b)
H/A
c)
H/O
d)
O/A
18.
Find the measure of the indicated angle.
a)
9.39
b)
55.2
c)
20.2
d)
19.4
19.

Set up the problem to solve for x.

a)

sin(47) = x/28

b)

cos(47) = x/28

c)

tan(47) = x/28

d)

cos(47) = 28/x

20.

What is the correct ratio to solve for w?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

21.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
22.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
23.

What is

sin⁡ A\sin\ A  ?

a)

2425\frac{24}{25}  

b)

257\frac{25}{7}  

c)

724\frac{7}{24}  

d)

725\frac{7}{25}  

24.

What is

cos⁡ B\cos\ B  ?

a)

2425\frac{24}{25}  

b)

257\frac{25}{7}  

c)

724\frac{7}{24}  

d)

725\frac{7}{25}  

25.

What is

tan⁡ A\tan\ A  ?

a)

2425\frac{24}{25}  

b)

257\frac{25}{7}  

c)

247\frac{24}{7}  

d)

724\frac{7}{24}  

26.

What is

sin⁡ B\sin\ B  ?

a)

2425\frac{24}{25}  

b)

257\frac{25}{7}  

c)

724\frac{7}{24}  

d)

725\frac{7}{25}  

27.

What is

cos⁡ A\cos\ A  ?

a)

2425\frac{24}{25}  

b)

257\frac{25}{7}  

c)

724\frac{7}{24}  

d)

725\frac{7}{25}  

28.

What is

tan⁡ B\tan\ B  ?

a)

2425\frac{24}{25}  

b)

257\frac{25}{7}  

c)

247\frac{24}{7}  

d)

724\frac{7}{24}  

29.

Solve for x to 1 decimal point. Enter ONLY your answer into the box.

(a)  

30.

Solve for x to 1 decimal point. Enter ONLY your answer into the box.

(a)  

31.

Solve for x to 1 decimal point. Enter ONLY your answer into the box.

(a)  

32.

Solve for x to 1 decimal point. Enter ONLY your answer into the box.

(a)  

33.

Solve for x to the nearest WHOLE NUMBER. Enter ONLY your answer into the box.

(a)  

34.

Solve for x to the nearest WHOLE NUMBER. Enter ONLY your answer into the box.

(a)  

35.

Solve for x to the nearest WHOLE NUMBER. Enter ONLY your answer into the box.

(a)  

36.

Solve for x to the nearest WHOLE NUMBER. Enter ONLY your answer into the box.

(a)  

37.

Solve for x to the nearest WHOLE NUMBER. Enter ONLY your answer into the box.

(a)