43.
cos
(
θ
+
π
2
)
=
cos
θ
cos
π
2
−
sin
θ
sin
π
2
=
cos
θ
×
0
−
sin
θ
×
1
=
−
sin
θ
table with 2 rows and 2 columns , row1 column 1 , cosine . open . theta plus , pi over 2 . close , column 2 equals cosine theta cosine , pi over 2 , minus sine theta sine , pi over 2 , row2 column 1 , , column 2 equals cosine theta times 0 minus sine theta times 1 equals negative sine theta , end table
44.
sin
2
(
θ
−
π
2
)
=
[
sin
(
θ
−
π
2
)
]
2
=
[
sin
θ
cos
π
2
−
cos
θ
sin
π
2
]
2
=
[
sin
θ
×
0
−
cos
θ
×
1
]
2
=
(
−
cos
θ
)
2
=
cos
2
θ
table with 4 rows and 2 columns , row1 column 1 , sine squared . open . theta minus , pi over 2 . close , column 2 equals . left bracket . sine . open . theta minus , pi over 2 . close . right bracket squared , row2 column 1 , , column 2 equals . left bracket . sine theta cosine , pi over 2 , minus cosine theta sine , pi over 2 . right bracket squared , row3 column 1 , , column 2 equals . left bracket . sine theta times 0 minus cosine theta times 1 . right bracket squared , row4 column 1 , , column 2 equals . open negative cosine theta close squared . equals , cosine squared , theta , end table
45.
2
−
3
2 minus square root of 3
46.
−
3
2
negative , fraction square root of 3 , over 2 end fraction
47.
2
−
6
4
fraction square root of 2 minus square root of 6 , over 4 end fraction
48.
−
2
−
3
negative 2 minus square root of 3
49.
3
2
fraction square root of 3 , over 2 end fraction
50.
3
2
fraction square root of 3 , over 2 end fraction
51.
3
square root of 3
52.
−
3
2
negative , fraction square root of 3 , over 2 end fraction
Skills Handbook
p. 964 1. 46% 3. 0.7% 5. 1.035 7. 25% 9.
66.
6
¯
%
66. , 6 bar , percent
11. 115% 13. 12.5 15. 75 17. 20%
p. 965 1.
1
2
5
1 , and 2 fifths
3.
6
5
6
6 , and 5 sixths
5.
5
21
5 twenty firsts
7.
2
19
20
2 , and 19 over 20
9. 8 11.
1
1
2
1 , and 1 half
13. 2 15. 42
p. 966 1. 3 to 4 3. 19 g in 2 oz 5.
14
5
14 over 5
7. 8 9. 1.8 11. 1.95 13. 45.5 15.
±
6
plus minus 6
p. 967 1. 1 3.
−
38
negative 38
5.
−
17
negative 17
7. 4 9. 28 11.
−
12
negative 12
13.
−
90
negative 90
15. 12 17. 19 19. 9 21.
−
10
negative 10
p. 968 1.
14
m
2
14 , m squared
3.
30
c
m
2
30 c , m squared
5.
91
1
8
ft
2
91 , and 1 eighth . ft squared
7.
100
π
in
.
3
100 pi in , . cubed
9.
110.5
in.
2
110.5 , , in. squared
11.
121
1
2
ft
2
121 , and 1 half . ft squared
p. 969 1. I 3. IV 5. III 7.
4
5
4 fifths
9. 0 11.
1
5
1 fifth
13.
(
5
,
−
3
2
)
open 5 comma negative , 3 halves , close
15.
(
5
2
,
−
1
)
open , 5 halves , comma negative 1 close
p. 970 1.
x
3
x cubed
3.
a
4
b
eh to the fourth , b
5.
1
c
4
fraction 1 , over c to the fourth end fraction
7.
x
5
y
7
z
3
fraction x to the fifth , over y to the seventh , z cubed end fraction
9.
d
8
d to the eighth
11.
c
6
c to the sixth
13.
a
4
b
5
fraction eh to the fourth , over b to the fifth end fraction
15.
a
4
b
4
fraction eh to the fourth , over b to the fourth end fraction
17.
c
12
c to the twelfth
19.
u
12
v
6
u to the twelfth , v to the sixth
21.
a
3
eh cubed
23.
1
m
g
3
fraction 1 , over m , g cubed end fraction
25.
a
5
2
fraction eh to the fifth , over 2 end fraction
p. 971 1.
x
2
+
10
x
−
5
x squared , plus 10 x minus 5
3.
12
x
4
−
20
x
3
+
36
x
2
12 , x to the fourth , minus 20 , x cubed , plus 36 , x squared
5.
x
2
−
2
x
−
15
x squared , minus 2 x minus 15
7.
(
a
−
6
)
(
a
−
2
)
open eh minus 6 close open eh minus 2 close
9.
(
x
+
4
)
(
x
+
1
)
open x plus 4 close open x plus 1 close
11.
(
y
+
8
)
(
y
−
3
)
open y plus 8 close open y minus 3 close
13.
2
x
(
x
2
+
2
x
−
4
)
2 x open , x squared , plus 2 x minus 4 close
p. 972 1.
1
.
34
×
10
6
1 . 34 times , 10 to the sixth
3.
7
.
75
×
10
−
4
7 . 75 times , 10 super negative 4 end super
5. 111,300 7.
1
.
895
×
10
3
1 . 895 times , 10 cubed
9.
1
.
234
×
10
5
1 . 234 times , 10 to the fifth
11.
6
.
4
×
10
5
6 . 4 times , 10 to the fifth
13.
8
.
52
×
10
2
8 . 52 times , 10 squared
15. 17.5 17.
8
.
95
×
10
−
12
8 . 95 times . 10 super negative 12 end super
19.
3
.
77
×
10
10
3 . 77 times , 10 to the tenth
21.
1
.
8
×
10
−
6
1 . 8 times , 10 super negative 6 end super
p. 973 1. 10 3. 15 5. 54.7 7. 5 9. 13 11. 22.7 13. 2.8 15. 9 17. 7
p. 974
1.
Image Long Description
p. 975 1.
3.
7
¯
;
5
;
5
3. , 7 bar , semicolon 5 semicolon 5
3.
3.9
6
¯
;
2.4
;
2
.
4
3.9 , 6 bar , semicolon 2.4 semicolon 2 . 4
5. 1.5; 1.5; no mode
7.
p. 976 1.
a
3
b
2
fraction eh , over 3 , b squared end fraction
3.
1
2
1 half
5. 4x
7.
2
h
2 over h
9.
x
10
x over 10
11.
74
x
35
fraction 74 x , over 35 end fraction
13.
4
x
2
5
fraction 4 , x squared , over 5 end fraction
15.
16
x
16 over x
17.
16
5
16 over 5
19. 2x
