Name: ________________________ Class: ___________________ Date: __________ ID: A
1
Introduction to Trigonometry
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Solve the triangle.
a. A=58°,B=47°,C=75° c. A= 58°,B= 75°,C= 47°
b. A=47°,B=75°,C=58° d. A=47°,B=58°,C=75°
____ 2. Find the area of the triangle ABC under the given conditions using sine.
A 26, b 9feet,andc 5feet
a.
19.7 ft
2
c.
9.9 ft
2
b.
20.2 ft
2
d. None of these
____ 3. Find the area of the triangle having the given measurements using sine.
A=37°,b=10inches,c=9inches
a. 27squareinches c. 38 square inches
b. 25 square inches d. 36 square inches
____ 4. Solve the triangle using the Law of Sines.
a. B=75°,a=6.57,c=4.66 c. B= 75°,a= 4.66,c= 6.57
b. B=80°,a=4.66,c=6.57 d. B=70°,a=6.57,c=4.66
Name: ________________________ ID: A
2
____ 5. Find the sine, cosine, and tangent of
T.
a.
40
41
,
9
40
,
9
41
c.
40
41
,
9
41
,
40
9
b.
9
40
,
9
41
,
40
41
d.
41
40
,
40
9
,
41
9
____ 6. Solve for x in the given triangle to the nearest degree.
a.
28
c.
52
b.
62
d.
41
____ 7. Convert from degrees to DMS: 55.32º.
a. 55º 19.5’ c. 55º 19’ 12”
b. 55º .0053’ .000089” d. 55º 18’ 12”
____ 8. Find the trigonometric ratios for of csc P, sec P, cot P.
a.
cscP
25
7
,secP
25
24
,cotP
24
7
c.
sinP
25
24
,cosP
25
7
,tanP
7
24
b.
cscP
25
24
,secP
25
7
,cotP
7
24
d.
sinP
25
7
,cosP
25
24
,tanP
24
7
____ 9. A tree casts a shadow of 25 meters when the angle of elevation of the sun is 22°. Find the height of the tree to
the nearest meter.
a. 234 m c. 23 m
b. 12 m d. 10 m
____ 10. Convert from DMS to degrees: 78º 30’ 15”
a. 78.504º c. 1.3º
b. It cannot be determined. d. 78.75º
Name: ________________________ ID: A
3
____ 11. Find the sine, cosine, and tangent of
T.
a.
29
21
,
21
20
,
29
20
c.
21
29
,
20
29
,
21
20
b.
21
29
,
20
21
,
20
29
d.
20
21
,
20
29
,
21
29
____ 12. Given a triangle with
a 16, A 13,andB 44,
determine c using the Law of Sines.
a.
c 49.4
c.
c
6.3
b.
c 59.6
d.
c
5.1
____ 13. Given
csc55
º, which of the following is equivalent?
a. cot 55 c. sin 55
b.
1
sin55
d.
1
cos55
____ 14. A ladder leans against a building forming an angle of 54° with the ground. The base of the ladder is 7 feet from
the building. Use the cosine ratio to determine the length of the ladder.
a. 8.7 ft c. 1.2 ft
b. 9.1 ft d. 11.9 ft
____ 15. Find the value of sec
59
.
a. 1.6643 c. 0.6009
b. 0.5150 d. 1.9416
Name: ________________________ ID: A
4
____ 16. Find the trigonometric ratios for of csc P, sec P, cot P.
a.
csc
P
17
8
,sec
P
17
15
,cot
P
15
8
c.
csc
P
17
15
,sec
P
17
8
,cot
P
8
15
b.
cscP
3
5
,secP
15
17
,cotP
15
8
d.
cscP
8
17
,secP
15
17
,cotP
8
15
____ 17. If
tan
3
2
, what is
cot
?
a.
cot
1
2
c.
co
t
1.5
b.
cot
2
3
d.
tan
2
3
____ 18. Useacalculatortofindthevalueoftheacuteangle
tothenearestdegree.
cos
0.2286
a. 1º c. 77º
b. 13º d. 97º
____ 19. Given that
mA 37
and
c 10
, find b in the right triangle below.
a. 12.52 c. 7.65
b. 6.02 d. 7.99
____ 20. Solve the triangle using the Law of Sines.
a. C=45°,a=10.1,c=6.72 c. C= 40°,a= 6.72,c= 10.1
b. C=35°,a=6.72,c=10.1 d. C=40°,a=10.1,c=6.72
ID: A
1
Introduction to Trigonometry
Answer Section
MULTIPLE CHOICE
1. ANS: A PTS: 1
2. ANS: C PTS: 1 OBJ: 10.2.2 Use area formulas to find areas of triangles.
3. ANS: A PTS: 1
4. ANS: C PTS: 1
5. ANS: C PTS: 1
OBJ: 6.1.2 Evaluate trigonometric ratios, using triangles and on a calculator.
6. ANS: B PTS: 1 OBJ: 6.2.1 Solve triangles using trigonometric ratios.
7. ANS: C PTS: 1
8. ANS: A PTS: 1
OBJ: 6.1.2 Evaluate trigonometric ratios, using triangles and on a calculator.
9. ANS: D PTS: 1 OBJ: 6.2.2 Solve applications using triangles.
10. ANS: A PTS: 1
11. ANS: C PTS: 1
OBJ: 6.1.2 Evaluate trigonometric ratios, using triangles and on a calculator.
12. ANS: B PTS: 1 OBJ: 10.2.1 Solve oblique triangles by using the Law of Sines.
13. ANS: B PTS: 1
14. ANS: D PTS: 1 OBJ: 6.2.2 Solve applications using triangles.
15. ANS: D PTS: 1
OBJ: 6.1.2 Evaluate trigonometric ratios, using triangles and on a calculator.
16. ANS: A PTS: 1
OBJ: 6.1.2 Evaluate trigonometric ratios, using triangles and on a calculator.
17. ANS: B PTS: 1
18. ANS: C PTS: 1
19. ANS: D PTS: 1 OBJ: 6.2.1 Solve triangles using trigonometric ratios.
20. ANS: D PTS: 1
