Math test related functions and inequalities

1. 53
1. 'bat is 2.r - I if - -u- +8 = - 6 + 3x?
D A. 2
C B.-3
□ C. 3
□ 0.-1
□ E. 5
, . ·r 2.r - 4
3
- .r + ;j ·1
2. hat. 1
s -2J' 1 - - = - .
'l. 3
C A. - 8
~
::;; ~~~ ,~
C D. 5~ ~'o ~'o
O E.ti ~ ~
3. The w luL
io11 10 the cq1~~- 0.'l.(.r :.i) - .r - O.tl =
~fli:_0.5 is •
'<111111 to
C A. 0.5 ;'S ;'S
□ B. U.25 A."' A."'
c c. -511:,
V '11,
V
C o..,iti A,
~~~5 ~~
♦vc form i11 the eq11atio 1 ~ =-I m.
□ A. --If
□ B. ,H
D C.-~
11
C D. - ~
-II
C E. II + -II
5. Solve for .r in the equation - 2(- .r - 6) + 2.r = - -1(.r - 2) + 6.
~~
~~
~
~~
d with CamScanner

2. 54
11 2
6. What is x +
2 if x is a solution of the equation x + 3 = -
5(2 - x) + 2?
D A. 2½
D B. -2½
1
D C. -
2
D D !
• 2
D E. -3
7. What is the solution of the equation 3½ - 4x = i'!
3
D A. --
4
D B. 1~
D C
3
. 4
D D. - 1
D E. l
~, ~~
!6)" !6)"-
~~ ~~
~ ~~
~~ ~v
8. Solve the equatio~~'Sb =c( l - x) for x. &,C:,'S
□ A.x~ ~
·~
□~- ,A,
~ -= : +c ...
~~
....... a+c ~
~•□ D. x= b+ c ~•
a
D E. x = a +c
b+c
9. Which of the following graphs represents the solution set to the inequality -4x + 2 < 2x - 7?
D A.
D B.
D C.
D D.
D E.
-1 0 2 3 4 5 6 7
-1 0 2 3 4 5 6 7
- 1 0 2 3 4 5 6 7
~~
~~
~
~~
a w1tn cam!::>canner

3. 55
~~ ~~ ~,.
~ ~ ~
&,:;; &,:;; &,:;;
10. Which of th~ing intervals represents ~tion set to the ineqUB.li~ ; + 2 $ 3 ?
-~ ~ ~
o SJT.2l Ai Aft,
-8, 2] ...
~~ ...
~ -
- 4, 1] ~ ~
~ [- 8,2) ♦· ♦·
D E. [-6,4]
11. What is the solution set of the inequality - 5 $ 7 - ~x < -1?
D A. [12, 18)
D B. (-6, -3]
D C. [-6, -3)
o n. G , 18]
D E. (12, 18]
12. What is the solution set of the inequal.ity - (3 - 2x) > 4x + 4 ?
O A. x>-3! ~~ §
□ a. x < -32 bv bv
0 C. x < -~ ~'!i, ~'o
O D. x>-~ # -~
O E. x> 3~ ~ ~
- ~.,, ~v
13. T hesum of~~, +3"- Swul -5"'-#-•;
,
D A. r 2
+ 2x - 11 ~
D x:i + 6x2
+ 2x - 17 A,
- 2x3 - 6x2 + 2x- l ...
~~
a D. - 2x3
- 6x2
+ 2x -1&~
~•□ E. -12x6
+ 2x-17 ~ •
14. (-6x2 + 3x- 9)-(x2 - 3x + 1) =?
D A. -5x2 -10
D B. - 7x2
+ 6x - 8
D C. 7x2 + 6x - 10
D D. -42x3 - 10
D E. -7x2
+6x-10
15. (2b - 2)2
- b(2b +2) = ?
D A. 6b2
+ 10b + 4
D B. 4b2
- 8b + 4
D C. 2b2
- 10b + 4
D D. 4b2
+4
!i>~ !i>~ !i>~
D E. 2b2
- 12b + 4
~~ ~~ ~~
~ 3 ~
~
~~ .~ ~~
~" ~" ~c a w1tn cam~canner
~ ~

4. 56
17. (2 - x2) - 3(x2 - 4x ) + (x - 1)(2 - x) = ?
D A. -5x2
+ 15x
D B. - 5x2
- 9x
D C. - 3x2
- 3x
D D. -5x2 + 15x +4
D E. - 5x2
+ 15x - 4
18. The equation of the line passing through the points (-5, -5) and (1,3) is
D A. 4x + 311 = 5
D B. - 2x + 2y =5 ~~ ~~
D C. 2x+ y = 5 a e..._~
D D. - 4x + 311 = 5 ~"' .(:"'
D E. - 4x +3y =-5 ~ ~
~ §
19. Find the value of k s~ the lines with equations ~ x - 3 and
3 L.Cjj L.Cj
O A. 2 ~~ ~~
O
B.I .f:)
-~ 2 . ~
♦!:.-1, ♦·
20. Which of the following lines are parallel?
D A. - x + y = 2 and - x - y = 2
D B. 3x = y and x = -2y + 1
D C. x =3 and ·y = -2
0 D. y = 4 - 5x and x = 4 - 5y
0 E. 3x - y = 5 and - 6x = -2y + 1
21. Find the distance between the x- and y-intercepts of the line with equation - 2x + 5y = -10.
D A. v'21
OB.,J29
~~ ~~ ~~
0 C. ../3
D D.3
D E. 29
~~ ~~ ~~
~ 4 ~
~
~~ .~ ~~
'!:," '!:,'S !:>C a w1tn cam!:>canner
s s

5. 57
2x - 3
23. For all x ~ -3; - - 1 =?
x+ 3
X
□ A. -
3
x+
D B. 3x - 6
x+ 3
D C. x - 6
4
D D. -
3
O
E,:~: ~~ ~~
3x2
- llx+ 10 ~ ~
24. For all x ~ 2; 5x _ 10 =~..,. ~"'1
# #
D A 3x+ 5
. 5
□ B.x:2 ~ ~
3x - 5 L.Ci,J L.Cjj
D C. ~ ~ ~
O D. ~ t:,,~
&,,;II '$1,
♦
G
1;
~ ll x,f, 2Md x,f, -• .,r~?
D A. x- 2
x+5
5
D B. -
2
D C. x +5
2
-40
D D. (x + 5)2
D E. x +5
x -2
x + 5
26. A train leaves a train station going east at 72 miles per hour. At the same time, another train leaves the same
station going west at 60 miles per hour. ~ ng would it take the two tt-to be 792 miles apart? ~
O A .6hr ~ ~ ~
O B .3hr ~ ~ ~
# · # #
s:.~ .~ s:.~
&e:,'S &e:,'S ~c aw1tn cam~canner

6. 58
~~ ~~
'!:,~ '!:,~
□ C. 6.5 ~ , , ~ , ,
□ D.l~ ~
□ ~1r ,
27. ~a:re the solutions to the ~ n l3x -21= 7?
♦•□ A. 5/ 3 and 3 ♦•
□ B. -5/ 3 and 3
□ C. - 5/3 and -3
□ D . 5/3 and 3
□ E. - 5/ 3 and - 3
28. Which of the following intervals represents the solution set of the inequality l2x + 21 ~ 4'?
D A. (-oo, 3] U [l,oc)
□ B. (-oo,-3ju[- l,oo)
□ C. [3,oo)
D D. (-oo, - 3] U [I,oo)
□ E. [l,oo)
29. Which of the following intervals reprcscnt ~ lution set of the inequa~quality Ix+ 61< 3? ~
□ A. (-9,-3) ~ ~ ~
□ B. (-9, 3) ~ ~ ~
□ C.(-3,3) ~ ~ ~
□ D. (-3,9) ft..~ ft..~ ft..~
□ E. (o, 3) ~v ~v ~v
30. If (x, y) is the so~cfl,the lmear system of cq;;.~ '!:),S
2x +3y = -:..i..,,.,V A.tg' A.,,
-x+ 2y - ~ ..V ..V
then y 'l(,~ .,. .,.
.,, .~ .~
♦•□ c.3 ♦• ♦•
□ D.6
□ E. - 2
COLLEGE ALGEBRA
31. For what values of x is ✓3 - 2x defined'?
1
□ A. X > 52
1
□ B. X > 32
1
□ C. X ~ 22
1
□ D. x~ l
2
1
□ E.x > 1
2
g,~
~~
~
~~
a w1tn cam!::>canner

7. 59
33. What is the range of fw1ctio11 / whose graph is shown. below?
'r '
'
'
.
34. If h(x) = ✓-x + 2 + x2
, what is h(-2)?
D A . not a real number
D B. 6
D C. 4
D D . -4
D E. 2
y = f(x)
6
5, T
4 •
2
35. If h(x) =(- x + 1)2
- 5 and g(x) = -x - 2 , then (h o g)(x) =?
D A. - x3 + 8x + 8
D B. - x2
+ 2x + 2
D C. - x2
D D. - x2
+ 6x + 4
' ''
'
' '
' '
'
'
'
' '
'
'
''
''
'
!i>~ !i>~
D E. x2
+ 6x+ 4
~~ ~~
~ 7 ~
~~ .~
'!:," '!:," ~c
~ ~
!i>~
~~
~
~~
a w1tn cam~canner

8. 60
3
37. If g(x ) = 3x + 1 and (f o g)(x) = ffx+T' then / (x) =?
3x+ l
3
D A. v'x
D B. J3x + l
DC. 3
D D. ~
X
D E.
1
J3x+ I
38. T he graphs of / (x) and g(x) arc given below. What is the vallic of(/ o g~
□A.-~ I..~~ : ~
2 !i~ 3 -CA~ -
0 8 .0 # ·
O C.3 ~
D D. - ~ &,Cj
36.'tj
O E. ~V
.~
~·
39. U f(x) = J-2x - 4 and g(x) = 3x2 + tlx - 4, then the domain of/+ 9 is
D A. (-2, +oo)
D B. [-2, +oo)
D C. (- co, +oo)
D D. (- co, -2]
D E. (- co, -2)
40. lf / (x) = x + 3
, what is the range of r 1
?
x -4
D A. (- co, 4) U(4,+oo)
D B . (- co, +co)
D C. (- co, - 3) U (-3,+oo)
D D. (-oo,4)
D E. (- co, -3)
~~
~~
~
~~
a w1tn cam!::>canner

9. 61
42. Which of the following is the vertex of the graph of the quadratic fw1ction y = - 2x2
- Bx+ 1?
D A. (-2, -23)
D B. (-2,9)
D C. (-2,25)
D D. (2,-23)
D E. (2,9)
~~ ~~
~~ ~~
43. ff / (x) = v'x'=l', wbat is t ~c of J-1
(2)'! ~
□ A.5 ~fl.S ~~
D B . - I &" &"
D C. 1 .._,,.._t:i .._,I>
D D. ..JL..~V ..V
□ E. • fO .~
.~ .~
... ...
44. U /( x) = 6
- x , then 1- 1
(x) =?
- 2x+ l
- 2x + 1
D A.
6 -x
6 -x
□ B. -­
-2x + 1
D C. x+ 3
2x + 1
D D. - 6 +x
-2x+ l
D E. 6 -x
2x -1

10. 62
- - - ♦- --t- I
' '
-----------x
3 4 5 6
' ' '
I I ! I
..- - • - - -1 - - - ...- - - • --2- - • - - .., - - - - - • • - '"1 - - I
'
L - - - - - -: - - - t... - - - - -3 - - ! . - _. - - - - - ; - - ~ . - . :
I I ! I I
r-- ---:------ --- -4 - ---- -- - --- :---:
' '
' '
,.--·-- -- - ~-- -5 --·-- - - - ~---,
' ' '
' ' '
' --6 '
0 A . / (x) = x +2 ~ " Si4.~ Si6,._~
D B. /(x) = -x2 - 2 a:_)" ~ii ~),..,
D C / (x) - -x2 +3 6..V ~ ~
D n: / (x): -x2 +2 C,(oil C,(oil C,(oil
D E./(x) =-(x+l)(x~ ~ ~
46. Which of the foll=i?IJi~ lution ~t w the l
og'flt'~"'""'°"log,(x +5) +#-I) =21
~ :::~~~Cj .,.,,,CiJ .,.,,,CiJ
□ c.• V ~v ~v
~ 3,7} . .# .#
~r274x+5 = G
r-,I,the. ...
D A. - 21
14
9
D B. --
14
21
D C. -
10
D D. 21
24
9
D E --
. 10
48. U log5 (4x) =-2, then what is the value of x'?
D A. 100
1
D B . 100
1
DC. -50
g,~
C,~
~
~~
a w1tn cam:::;canner

11. 63
D B. 62
D C. 32
D D. Jg
D E. 8
50. lf 53
:r+2
= 12, then x :::::?
D A. - 0.261
D B. 2.648
D C. - 0.340
D D. - 0.152
D E. -0.523
51. Fo"II x > 0 Md y;0, log,(x' -,/j)
:ii>~ ~•~ ~~
D A. 4 log7(x) + ~ log7(y) ('o~ ('o~ ~~
D B . 4 log7(x) -
2log7( ~ ~ ~
D C. log,1(x) + log7 ~~g7 G) -log7 (x) ~~ ~~
D O. log.(,~)+ log, m
-log,(xtt,~" !Ii,~~"
D E. l # log7 (x) - log7 G)+lt1 ~~
I, I, I,
52. ~,ad z + yi =
5
2+_~,, .
,the foUowing S th, ~ • "" o=he• y'
...□ A. _ l51i . . . . . .
D B . .!..!_i
5
D C _ !..!_
. 5
D D . .!..!_
5
D E. ~
5
53. lf J (x) =2x2
- px - 6 and J (2) = - 14. then p =?
D A. - 8
D B. 14
D C. 0
D D. 8
D E. 6
~~
~~
~
~~
a w1tn cam!::>canner

12. 64
55. U i = A ,then (5 + 2i)2
=?
D A. 21 + 20i
0 B . 21-20i
D C. - 21 + 20i
D D. 29- 20i
D E. 29 + 20i
56. U 10! = 7! · m, then m =7
D A 720
. 7
D B. 3
D C. 720
D D IO
. 7
l
D E. 720
58. Which of the following is not a one-to-one function'?
D A. (x - 1)2
- 7, x ~ 1
D B. (x - 2)3 +4
D C. x +6
D D . x2 + 5
D E. - ✓x +3
59. What is the sum of the first 18 terms of the arithmetic sequence ~ . 1. ~•...'?
D A. 4:7
D B . 230
D C. 9:3
0 D . - 4:1
g,~
~~
~
~~
a w1tn cam!::>canner

13. 65
61. If the domain of the function/ is [-2, 5), what is the domain of the function g defined by g(x) =J(x +3) - 6'?
D A. [-5,2)
D B. (1,2]
D C. [1,8)
D D. [2,-5)
D E. (8, -5]
64. If ·i = A ,then i 18 ='?
D A. - 1
D B. i
D C. 1
D D. -i
□ E.O ~
65. ll n ;, I, whkh of the foUow;og. ,
0 "'"'""""' lo (n :!("
# 13 #
~~ .~
&e:,'S &e:,'S ~c
g,
~
~~
~
~~
a w1tn cam~canner

14. 66
66. What is the 205th
term of the arithmetic sequence 15, 8, l , -6, ...?
D A. 1420
D B. -1413
D C. 1413
D D. - 1420
D E. 1443
67. What is the ninth term of the geometric sequence whose first term is 6 and whose fourth term is
1
:?
D A 19683 ~~
. 128 !6),,...
O B. ~ ~a
2187 ~
D C. 258; ~
128 ~
~~
~~
~
D D. 729 ~
D E. 243 &"
6,1 ~
1J,,,,.~+ 2x+ 3
68. For x -/,17' x + 1 = ?
~x+ l + -
4
- .
9•"J. x+ I
~~
&"
~"
.~
.~
~•□ B. x - l + - 4
-
v x+ l
D C. 3x - 1 + -
4
-
x + 1
4
D D. 3x+ 3+-
1
x+
4
D E. 3x- l - -
x+ l
~·
. 5x+ 14 A B
69. For x -/,-1, x 1' - 4 and 1f (x+ l )(x+
4
) = x+ 4 + x+ 1
, then
D A. A =2 and B =-3
D B. A = 2 and B = 4
D C. A= -2 and B =3
D D. A =2 and B = 3 A_ A
D E. A = 2 and B = 5 €1>".,. €1>".,.
70. Which of the iot,"""' bol= i, , . , , , . ~, of the U>equalicy ~12 ~0 ?
# 14 ~
~~ ~~
&e:,"S &e:,'S ~c
~~
~~
~
~~
a w1tn cam~canner

15. 67
~· ~· ~
·
~ L,,. ~
&,:;; &~ &,:;;
□ A. (~~ ~~"j ~~"j
, 3] u (4, oo) A, Afti
~ oo,3)U(4,oc) ..._~~ ..._~-
41. T E. [3,4] 41.~ 41.~
~· ~· ~_
71. Wliich of the intevals below is the solution set of the inequality ; +:~ 0 ?
D A. (- cc , -3] U [5/2, cc)
D B. (-oo , -3) u (5/2, oo )
D C. (-cc, - 3) u [5/ 2, oo)
D D. [5/2, oo )
D E. (-oo, -3)
72. lf ✓2x - 1 = 3, then - 3x =?
D A. 5
D B.3
D C. 12
D D. 15
D E. - 15 ~cf>~ #~
~'or,RIGONO~ Y
. - ~ J,r ~
73. What 1s the degree n ~f 8 = - 20
? ~
~ ::=
:~~,:;; ...4',:;;
□ c. o~V ~ V
;.:~~m•M✓-~
D A. 108ir
D B.
5
;
D C. Gir
5
D D. s;
D E. 4;
75. The angles - 11° and 101° arc
D A. complementary
D B. supplementary
D C. both acute
D D. botli obtuse
g,~
~~
~
~~
a w1tn cam!::>canner

16. 68
~· ~·
~ ~
&,:;; &,:;;
76. Find the s~ositive angle cotennina1~980°.
.~
~
~
♦•D
E. -6:i: ♦•
5,r
77. Convert
6
to degree measure.
D A. 210°
D B. 150°
DC. 120°
D D. 240°
□ E. soo•
78. Convert -300° to radian measure.
DA. lt
D B.
5
; ~~ ~~
D C. -
5
; ~~ ~~
o o.'; # #
D E.
7
; &~ &~
79. Which of tl ~ng angle:; is cotcrminal~~ '?
DA-~ A,~
.~ ~-
~j C. 3: ♦•
1T
D D. -
4
D E. 13,r
4
80. Given sin o = ~ , find the exact value of seco.
D A. 3
□ B. JITo
10
D C 3Jio
• 10
□ D. 1
30
□ E Jio
• 3 ~~
~~
~
~~
a w1tn cam!::icanner

17. 69
~~ ~~
~ ~
§, §,
. ,.._..._~ 1 1 . .
, ,
81. Fmd the 11.vJUeof sec2 320 + csc2 3
't:,V
=~· ,
«~~ ~
♦· !6 ♦·
□ D. 2
□ E. 0
82. Find the exact value of cos ~
3
- cot~-
4
□ A ~
. 2
3
□ B. -2
I
□ C. 2
1
□ D. -2
83. r;~d :~
••mtwl"eof <>e(-420°)~cf>~ ~~ ~~
D A. - ';'3 ~"' (:!..~ ~
oe.';'3 ~ # ~
□ C.2 ~ ~ ~
□ D . - 2 ~" ~" ~"
D E. 2~~,, ~ " ~ "
84. An ob · :landing 50 mctc r i s ~
w•y buUdh,• ootk<> • "'ri/llti,h,top of tho buUd;ng. If tlm ,ngle
of el n to the base of the flag .2° and the angle of elev Fo;,th
etop of the flagpole is 50.1°, what
eight of the flagpole'? ~
♦• A .2.3m ♦• ♦•
0 B. 2.5 m
D C. 59.8 m
D D . 7.7 m
D E. 3.4 m
85. Find the reference angle of 600°.
□ A . 25°
D B. 15°
D C. 60°
□ D. 30°
D E. 45°
86. An aircraft takes off from an airport w,._...~...- a bearing of NothEast ~ ~er flying 3 miles, t ~
hc · · s
the plane 90° heading NorthWest. e plane goes 7 miles iJ>!l;t'tec~io
n
.what is the b the
aircraft from the due North of th tower'? {that is, what F g
l
e
8)'? See graph belori
# 17 # #
~~ ~~ ~(f,
&C,J &e:,'S ~c a w1tn t.;am~canner

18. 70
D A. 66.8°
D B. 5.4°
D C. 44.6°
D D. 23.2°
D E. 46.8°
s
88. U tan 8 = - 4 and sin 8 < 0, find tbe exact value of cos 8.
D A. _!
4
O B./IT
D C /IT
• 17
D D. - 4/IT
17
3
D E. -
2
9~
~~
~
~~
a w1tn cam!::icanner

19. 71
~· ~.. ~~
~ ~ ~
&,:;; &,:;; &,:;;
89. From a dis~ observer estimated tJAf3i angle of elevation to t~ of the mountain is 35°. The
observer!#oometers closer to theJlil;!'Wain and estimated the ~ ~
--=-levat ion to be 47°. How tall is
the mo ~r Sec figure below. t,V t,V
~~ ~~ _
..,
♦• ♦• /,.,~ i
, ~ , h <._
/ , ~ ~
, ,
_
,,,:s~,/47" 9 ~
I• •I
900m
□ A . 2595 m
□ B. 1816 m
□ C. 381 m
□ D. 6404 m
□ E. 630 m
92. Name the quadrant in which the angle Olies if csc O< 0 and cotO > 0.
□ A.I
□ B. II
□ C. III
□ D . IV
□ D. V
~~
~~
~
~~
a w1tn t_;am!::>canner

20. 72
~~
~
&c;;
D A.
v'3 _!)
2 ' 2
" •□ C. : , -~)
D D. (-~,n
D
E.(-~
,-~)
94. Wbat is the maximum value of / (x) = -3 sin(5x - 4)?
D A . 5
D B. 3
D C. 4
D D. 1.5
D E.15 ·~
95. In the right triangle below, what is si ~
~~
~
~~
s,'S
~"
□~~
~~
~~ c. 4
4
D D.
3
D E ~
. 7
96. In the triangle below, m =?
D A. 3/5
D B. 4v'3
D C. 5J2
D D. 6v'3
10 111
45°
9~
~~
~
~~
a w1tn cam:::;canner

21. 98. If sin(0 + 211') = 0.4 , sin(8 - 1211') =?
□ A. -0.4
□ B. 0.6
□ C. 0.4
□ D. ✓0.84
□ E. ✓0.48
~~ ~~
oo. 11 ,ooe=o.1, =<•+•l=·t~"''fi A~
□ A.0.7 ...
, , ~'
□ B. ✓o.5T ~ §
□ c. - 0.3 ~ · A.~
□ D. -0.7 :,~-. ~-.
□ E. ✓o.15 &,Cj &,Cj
&."8 X &."8
100. Ir / {x) = ~--x +1r/2) and g(x) =
3,rJj,1f.r(g(11'/2)) =?
°.....,,_' .8"
♦
•
~- 3v13 ~
..
A~ c.2JJ ~•
V o 0. - 2/JJ V
□ E. - 2J3
101. Which of lhe following is closest to the length of segment AB in the figure below'?
27
A B
□ A. 24
~~ ~~ ~~
□ B. 48
□ C. 37
~~ ~~ ~~
~ 21 ~ ~
73
~~ ~~ ~~
'!:," '!:," ~c aw1tn cam~canner
~
~

22. 74
~· ~· ~~
~ ~ ~
&,:.; &,:.; &,:.;
~ ~::~~to ~~to ~~to
I, I, I,
102. Ad standing 150 meters aw~ the base of a building m~ the angle of elevation to the top of the
~g to be 35°. Approximav · tall is t,be building. ~ -
~~ A. 105 meters ♦• ♦•
□ B. 123 meters
□ C. 86 meters
□ D. 214 meters
□ E. 155 meters
103. If tanO= 3 and sin O< 0, what is the value of cosO?
I
□ A . ./2
1
□ B. v'fO
1
□ c. - 2./2
I
□ 0.2~ ~ ~
□ E. -JiO b~ ,
10,. Wh" ,, th, ,~,,.,., or " " r~~- "" ( ';') ? #'ij
□ A. ~ A..~ A..(:)
3 ~.. ~~
□ B 4rr &t:iJ &t:.J
□ C. 33rr ~"j ~'fj
□ , ,~
s.,,.' s.~
~Find an appropriate fuuct~ or the following graph:
y
(;rx)
□ A. y =-2 cos
2
□ B. y = -2cos (D
□ C. y = -2 sin (i)
□ D. y = 2sin (2x)
□ E. y = -cos(2x) ~~
~~
~
~~
a w1tn cam!::>canner

23. 75
~· ~·
~ ~
106. Which oft~'!•not w identity? ~"'#:j
0 A. ~
2
8=sec
2
8 .~
□ ~ 8 +cos
2
8 = 1 ~
..S, tan(28) = 2 tan 8 ~
,.'°.cos(-8) = cos 8 ~ •
~□ E. sin(- 8) = -siu8 V
107. II 180° < 8 < 270° and tau0 = ./3, what is the value of sin(20) ?
1
□ A. ./3
□ B.:
□ C. _!
4
l
□ D. 2
□ E. 0.25
106. U 0<8<:; ,nd =• = 0.4, then sin ~=? ~ ~
DA. - ~ ~ ~~ ~
□ B. - ,/o.3 a ~~ A.~
□ C.v'if.7 ~~ ~~ ~~
□ D. Jo] § § §
□ E. - vfil ~ ~ ~~
109. For what values of~ graph of 11 = - sln(:i:) #increasing? 'J:,'tJ
o A. [rr/ 2~ A,, A,,
D B.[O, ~- ~v ~v
D , ~'f,
. [- rr/ 2,rr/ 2] ~ ~
~ ~hich of the following is c
~ •to the measure of the aa~ ~osite the side whose length is 6 in the triangle
below?
□ A. 56°
□ B. 39°
□ c. 85°
□ D. 45° A
□ E. 67° €1>"~
111. Wh,t S the exact ,aloe of =(a,,,,)?
~
~
~
&C,J
5
6
g,~
~~
~
~~
a w1tn cam!::>canner

24. 76
'Ir 'Ir
I 12. What arc all the solutions of the equation sin(x -
4)+ sin(x +
4)= - 1 iin the interval [0, 2rr)?
7rr 5rr
D A. x =
4 and x =
4
7rr
D B. x=
4
5rr
DC. x=
4
9rr 7rr
D D . x =
4
and x =
4
llrr 3rr A, A, A,
0 E. x = 4 and x = 4 ,1~1,... 6"... !I>"...
113. Wh,t " ' ,II::• ,oluUoo ::~~~•• • 2,1,' z+ 3sin:~•""fj,,io«<ral (0,2rrj'I...
~""
□ A. P
1~:"d ,-~, ~' A.A.~'
O B. x= 6 aud ~.,... ~ ~~
0 C. x =
1
; ~"' I!rr &e:,'S &e:,'S
~ 11ir 3,r A." A."8
O D. x~~";x= 6 1111d x= 2 ~V ~ V
□§1); , ~"
11...~ ' M'"'"''nt of oo . . .
~ht trioogl, i, 40" ,nd >J,,~ ppo,it, to tlti, oogle i, San long. Wh,t i,
~"1telength, in cm, of the o ? ~ •
D A. ta1~40°
tan 50°
D B. -
5
-
0 C.-
5
-
tan 40°
5
O D.-50
tan °
D E. 5
115. Find a point on the unit circle such that its y-coordinate is - ~ and is located in quadrant III.
4 3
D A. (- --)
5 ' 5
!i>~ !i>~ !i>~
3 3
D B. (5, -5)
3 3
DC. (- 5,-5)
~"" ~"" ~""
~ 24
~ ~
s:.~ ~~ s:.~
'!:,'S '!:,'S ~c a w1tn cam~canner
~ ~

25. 77
116. Find x if O< x < 3rr/2 and sin(x) =- ~ .
D A 4rr
• 3
D B.
1
;
D C.
5
;
D D 21T
• 3
D E. 71T
3
117. ~ rotation t E [O, 2 1T) ass~with Lbe point (- I;,..the unit circle.
D A. 3rr
4
D B 71T
• 4
DC 1T
' 4
D D 21T
' 3
D E. S;r
4
25