_
NAME
DATE
_____
SCORE
Cumulative Test Chapters 1 —11
Part II: Test Chapters 7—11
Directions: Write the letter of the correct answer in the space provided.
1. Convert 34°57’ to radians.
Give the answer to the nearest
hundredth of a radian.
a.
b.
c.
d.
e.
ANSWERS
3. If the terminal ray of 8 passes
through (—4, 5), find cos 8.
a.
34.57
34.95
0.61
2002.49
None of these
b
5
c
d
•1.
(3)
2.
(3)
3.
(3)
4.
(3)
5.
(3)
6.
(3>
7.
(3)
8.
(3)
.
•\/:ii
e. None of these
4. Express cos (—128°) in terms of
its reference angle.
2. A circular sector has a radius
of 9 and a central angle of 2
radians. Find the arc length.
a. cos 232°
b. cos (—38°)
c. —cos 38°
d. —cos 52°
e. None of these
a. 18
it
5. Simplify cot (x
10
c. 97r
d. l8it
e. None of these
a. cotx
b. —cotx
C. tanx
d. —tanx
e. None of these
6. Which graph below represents y
a.
+ it).
=
1 x?
Sin
b.
: :
d.
C.
EEE
O2X
:
H
e. None of these
7. How many solutions are there to
x=25 (0x< 2it)?
2
csc
a. 1
b. 2
c. 3
d. 4
e. None of these
8. Find the equation of a line with incli
nation 45° that passes through (1, 4).
a. y—4=45(x—1)
b. y—4=x—1
(x+1)
2
C. y+4=\/
d. y+4=x+1
e. None of these
(continued)
TESTS for ADVAI’ICED MATHEMATICS
—36—
Copyright © by Houghton Muffin Compan’.
All rights reserved.
NAME
DATE
Cumulative Test 1
—
11
•
Part II: Chapters 7
—
11
SCORE
(coiztiiiued)
9. Which of the following is the graph of y = 3 sin 2x?
a.
b.
ft[\i\_ft
1 I
I’
J\i
d.
C.
:
e. None of these
10. If the graph of)’
=
Asin
is
translated 3 units to the right and
2 units up, then
• 2it
a. y—2=Asin—(x—3)
p
ANSWERS
9.
(3)
10.
(3)
11.
(3)
12.
(3)
13.
(4)
14.
(4)
15.
(4)
16.
(3)
13. Solve
x=Ssinx+2(0x<27t).
2
3sin
a. 5.94
c. 3.48
b. 4.71
d. 5.94; 3.48
e. None of these
‘It
b. y+2=Asin—(x+3)
p
• 2it
C. V
3 = Asin —(x 2)
p
—
—
d, v
+
3
=
Asin
+
p
e. None of these
2)
14. Find the perimeter of an isos
celes triangle with a base of 8
and a vertex angle of 20°.
a. 19
c.54
b. 100
d.24
e. None of these
11. Which of the following is true?
a.
b.
c.
d.
e.
sin 9 = cos ( 900 + 9)
cot(—9)=cot9
2 9+cot
tan
9=1
2
6+sec
csc
9
2
=l
None of these
15. A regular octagon with sides of
length 6 is inscribed in a circle.
Find the area of the octagon.
a. 48
c. 22
b. 174
d. 11
e. None of these
sin 9— cos
4
4 9
12. Simplify sin
c O
2 e 2
—
sin 9— cos
a. 2
29
b. I
2 9
C. tan
d. —l
e. None of these
16. Find the radius of the circle in
Exercise 15.
a. 7.8
b. 1.1
c. 6.0
d. 8.5
e. None of these
(continued)
TESTS for ADVANcED MATHEMATiCS
—37—
Copyright © by Houghton
Mzff7in
Company.
All rights reserved.
___
__
___
___
___
___
__
_
NAME
DATE
Cumulative Test 1
—
11
•
Part II: Chapters 7— 11
17. Find the measure of the largest
angle in a triangle with sides 3,
6, and 7.
(continued)
22. Which of the following is equal
to cot 75°?
1 tan 45° tan 30°
tan 45° + tan 30°
a.
a. 86.8°
b. 83.6°
c. 96.4°
ci. 96.4° or 83.6°
e. None of these
1
C.
18. In zABC, ZA = 300, a
b = 10\/. Find B.
a. 45°
SCORE
1
tan 45° tan 30°
tan45°—tan30°
tan 45° + tan 30°
tan 45° tan 30°
b. 135°
23. If sin a
sin 2a.
c. 115°
d. 45° or 135°
e. None of these
(4
18.
(3;
19.
(3)
20.
(4)
21.
(3)
22.
(4)
23.
(3)
24.
(3)
25.
(3)
26.
(4)
—
tan 45° + tan 30°
1 + tan 45° tan 30°
e. None of these
10 and
17.
+
d.
=
ANSWERS
and 0
=
<
a
<
,
find
-
a. 1
b
2
2
19. A ship leaves port and sails for 2
hours northeast and then 3 hours
northwest. If the speed remains
constant, what course should the
ship take home?
a 034°
b 011°
c. 169°
ci. 326°
e. None of these
e. None of these
24. Solve sin 2x
0x<2jt.
=
cos 2x over
a.
b
c. all x such that 0 S x
d 7t 5ir 9it l3it
<
2it
8’ 8’ 8’ 8
20. Find the acute angle between the
linesy=4x+2andv=7—3x.
3’S°
b 531°
c. 36.9°
d. 0.6°
e. None of these
a
21. If sin a
=
and cos
and 0< a <
cos (a + 13).
: :
185
,:;
13
it,
find
IJ
e. None of these
25. Simplify the expression
I + cos 49
sin48
a. cot 89
c. tan 29
b. 1 + cot 49
d. cot 29
e. None of these
26. Which polar equation describes
176
185
the graph?
-.
a. r=sin29
57
b.
r=c
os2
9
185
e. None of these
TESTS for ADV4NCED MATHEM
ATICS
c. r=cos49
\\
ci. r=sin49
e. None of these
—38—
(co ii tin u e d)
Copyright © by Houghton Mifflin Com
pany.
All rights reserved.