Alg 2 w Trig Review 1 - Trig
Date:
Name:
1.
What is the number of degrees in an angle whose
8
radian measure is
?
5
A.
2.
576
5.
C.
225
D. 113
7.
Express cos (sec
7
3
7
6
B.
C.
7
6
D.
cos ), in terms of sin .
8.
Expressed as a function of a positive acute angle,
cos ( 305 ) is equal to
7
3
What is the radian measure of the smaller angle
formed by the hands of a clock at 7 o'clock?
A.
4.
288
cot x sin x
Express
as a single trigonometric
sec x
function, in simplest form, for all values of x for
which it is de ned.
What is the radian measure of an angle whose
measure is 420 ?
A.
3.
B.
6.
2
B.
2
3
C.
5
6
D.
A.
sin x
B.
cot x
is equivalent to
csc x
cos x
C.
tan x
cos 55
B.
cos 55
C.
sin 55
D. sin 55
7
6
9.
Express as a single fraction the exact value of
sin 75 .
10.
The expression sin ( + 90) is equivalent to
Find, to the nearest tenth, the radian measure of
216 .
The expression
A.
A.
C.
D. sec x
page 1
sin
sin
B.
cos
D. cos
11.
The expression
A.
cos2
B.
sin2 + cos2
1
sin2
sin2
C.
15.
is equivalent to
sec2
D. csc2
An angle, P, drawn in standard position, terminates
in Quadrant II if
A.
cos P < 0 and csc P < 0
B.
sin P > 0 and cot P > 0
C.
csc P > 0 and cot P < 0
D. tan P < 0 and sec P > 0
12.
13.
If sin x = sin y = a and cos x = cos y = b, then
cos(x y) is equivalent to
A.
b2
a2
B.
C.
2b
2a
D. 2b + 2a
16.
b2 + a2
A.
28 10
B.
28 40
C.
61 560
D. 61 930
Express the product of cos 30 and sin 45 in
simplest radical form.
17.
14.
In the right triangle shown below, what is the
measure of angle S, to the nearest minute?
Which ratio represents csc A in the diagram
below?
If sin < 0 and cot > 0, in which quadrant does
the terminal side of angle lie?
A.
I
B.
II
C.
III
D. IV
A.
page 2
25
24
B.
25
7
C.
24
7
D.
7
24
Alg 2 w Trig Review 1 - Trig
18.
Two sides of a triangular-shaped sandbox measure
22 feet and 13 feet. If the angle between these
two sides measures 55 , what is the area of the
sandbox, to the nearest square foot?
A.
82
B.
117
C.
143
Two forces of 40 pounds and 28 pounds act on
an object. The angle between the two forces is
65 . Find the magnitude of the resultant force, to
the nearest pound. Using this answer, nd the
measure of the angle formed between the resultant
and the smaller force, to the nearest degree.
20.
In ^PQR, p equals
21.
r sin P
sin Q
B.
r sin P
sin R
C.
r sin R
sin P
D.
q sin R
sin Q
In ^ KLM, KL = 20, LM = 13, and mOK = 40.
The measure of O M
A.
must be between 0 and 90
B.
must equal 90
C.
must be between 90 and 180
Find, algebraically, the measure of the obtuse
angle, to the nearest degree, that satis es the
equation 5 csc = 8.
23.
A ranch in the Australian Outback is shaped like
triangle ACE, with mOA = 42, mOE = 103, and
AC = 15 miles. Find the area of the ranch, to the
nearest square mile.
24.
What is the solution set for 2 cos
interval 0
< 360 ?
D. 234
19.
A.
22.
25.
1 = 0 in the
A.
30 ; 150
B.
60 ; 120
C.
30 ; 330
D.
60 ; 300
Which expression is equivalent to (n m p)(x),
given m(x) = sin x, n(x) = 3x, and p(x) = x2 ?
A.
sin (3x)2
B.
C.
sin2 (3x)
D. 3 sin 2x
3 sin x2
D. is ambiguous
page 3
Alg 2 w Trig Review 1 - Trig
26.
A.
C.
27.
30.
The value of csc 138 230 rounded to four decimal
places is
1.3376
B.
1.5012
1.3408
D. 1.5057
In ^ MNP, m = 6 and n = 10. Two distinct
triangles can be constructed if the measure of
angle M is
A.
35
B.
40
C.
45
A.
29.
53
B.
59
C.
67
D. 127
D. 50
31.
28.
In ^ABC, a = 15, b = 14, and c = 13, as shown
in the diagram below. What is the mOC, to the
nearest degree?
The two sides and included angle of a
parallelogram are 18, 22, and 60 . Find its exact
area in simplest form.
What is the period of the function f ( ) = 2 cos 3 ?
A.
32.
The measures of the angles between the resultant
and two applied forces are 60 and 45 , and the
magnitude of the resultant is 27 pounds. Find, to
the nearest pound, the magnitude of each applied
force.
page 4
B.
2
3
C.
3
2
D. 2
The value of tan 126 430 to the nearest
ten-thousandth is
A.
1.3407
B.
1.3408
C.
1.3548
D.
1.3549
Alg 2 w Trig Review 1 - Trig
33.
34.
A.
73.7 and 106.3
B.
C.
78.3 and 101.7
D. 78.3 and 168.3
60
C.
150
p
3
2
?
D. 240
22
B.
38
C.
60
D. 120
The sides of a parallelogram measure 10 cm
and 18 cm. One angle computations. of the
parallelogram measures 46 degrees. What is the
area of the parallelogram, to the nearest square
centimeter?
A.
37.
B.
1
In ^ABC, a = 3, b = 5, and c = 7. What is mOC?
A.
36.
30
Write an equation for the graph of the
trigonometric function shown below.
73.7 and 163.7
What is the principal value of cos
A.
35.
38.
In ^ABC, mOA = 74, a = 59:2, and c = 60:3.
What are the two possible values for mOC, to the
nearest tenth?
65
B.
125
C.
129
D. 162
If tan A = 32 and sin B = p5 and angles A and B
41
are in Quadrant I, nd the value of tan (A + B).
page 5
Alg 2 w Trig Review 1 - Trig
39.
Which graph represents one complete cycle of the
equation y = sin 3 x?
40.
Which equation represents the graph below?
A.
B.
y = 2 sin 12 x
A.
y = 2 sin 2x
B.
C.
y = 2 cos 2x
D. y = 2 cos 12 x
C.
D.
page 6
Alg 2 w Trig Review 1 - Trig
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Alg 2 w Trig Review 1 - Trig
01/07/2015
1.
Answer:
B
20.
Answer:
B
2.
Answer:
A
21.
Answer:
D
3.
Answer:
C
22.
Answer:
141
4.
Answer:
3.8
23.
Answer:
44
5.
Answer:
B
24.
Answer:
D
6.
Answer:
cos2 x
25.
Answer:
B
7.
Answer:
sin2
26.
Answer:
D
8.
Answer:
B
27.
Answer:
A
28.
Answer:
p
198 3
29.
Answer:
24 and 20
30.
Answer:
A
31.
Answer:
B
32.
Answer:
B
33.
Answer:
C
34.
Answer:
C
9.
p
Answer:
10.
Answer:
D
11.
Answer:
C
12.
Answer:
B
13.
p
Answer:
p
2+ 6
or
4
p
6
2
or p
4
2 2
s
1+
2
p
3
2
14.
Answer:
C
15.
Answer:
35.
Answer:
D
C
16.
Answer:
36.
Answer:
C
B
37.
Answer:
11.5
17.
Answer:
B
38.
Answer:
y = 3 sin 2x
18.
Answer:
B
39.
Answer:
C
19.
Answer:
58 and 39
40.
Answer:
C