Alg II Honors Trig Test
Short Answer
1. Find the measure of the angle below.
y
55
x
2.
Sketch the angle in standard position.
355º
y
3. –350º
4. Find the measure of an angle between 0º and 360º
coterminal with an angle of –45º in standard
position.
270
x
5. In which quadrant does the terminal side of a –130º
angle lie?
6. Find the cosine and sine of 270º. Round your
answers to the nearest hundredth if necessary.
7. Find the exact value of cos 300º and sin 300º.
Write the measure in radians. Express the answer in terms of .
8. –310º
Write the measure in degrees.
9.
radians
10. Find the exact values of
.
and
11. Find the exact value of sin
.
12. Use the circle below. Find the length s to the nearest
tenth.
13. The line of sight from a small boat to the light at the
top of a 50-foot lighthouse built on a cliff 25 feet
above the water makes a 60° angle with the water.
To the nearest foot, how far is the boat from the
cliff?
s
4_
5
50
ft
4 in.
60 o
Drawing is not to scale.
Find the length x. Round to the nearest tenth.
14.
x
19
66 °
15.
48
33°
x
25 ft
16.
x
17°
16
17.
10
x
20 °
18. In
,
is a right angle. Find
nearest tenth of a degree.
to the
B
Z
x
15
54.4
9
47.4
X
A
26.6
C
Y
21. In XYZ, Y is a right angle and
. Find
sin Z in fraction and in decimal form. Round to the
nearest hundredth, if necessary.
19. Find the measure of x in the right triangle.
Z
8
x
5
21
20. In XYZ, Y is a right angle and
4
. Find
X
Y
cos X in fraction and in decimal form. Round to the
nearest hundredth, if necessary.
In
,
is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth.
22. a = 3.4, c = 5.8
23. Use the Law of Sines. Find b to the nearest tenth.
C
20
b
46°
15°
B
A
24. Use the Law of Sines. Find
to the nearest tenth.
C
27
30°
B
51
A
Find the remaining sides and angles in the triangle. Round your answers to the nearest tenth.
25.
= 55°,
= 44°, and b = 68
26. Find the period of the graph shown below.
2 y
1
O
3
2
–1
–2
27. Find the amplitude of the sine curve shown below.
y
4
2
O
2
3
–2
–4
28. Write the equation for the sine function shown below.
y
4
2
O
–2
–4
2
Alg II Honors Trig Test
Answer Section
SHORT ANSWER
1. 55º
2.
y
355
x
3.
y
–350
4. 315º
5. third quadrant
6. 0, –1
7.
8.
9. 210º
10.
11.
x
12.
13.
14.
15.
16.
17.
18.
19.
10.1 in.
43 feet
17.4
40.3
4.9
3.4
29.3
67.6°
20.
21.
22.
= 35.9°,
= 54.1°, b = 4.7
23. 55.6
24. 70.8
25.
= 81°, a = 80.2, c = 96.7
2
26.
3
27. 4
28.
0
