Answers 479
REVIEW SET 8B
1a 72 ± b 225 ± c 140 ± d 330 ±
2
3acos(^32 ¼)=0, sin(^32 ¼)=¡ 1
bcos(¡¼ 2 )=0, sin(¡¼ 2 )=¡ 1
4asin(¼¡p)=m bsin(p+2¼)=m
ccosp=
p
1 ¡m^2 dtanp=p m
1 ¡m^2
5a i 60 ± ii ¼ 3 b ¼ 3 units c ¼ 6 units^2
7 sinμ=
p 21
5 , tanμ=¡
p 21
2 , secμ=¡
5
2 ,
cosecμ=p^521 , cotμ=¡p^221
8a 212 b 112 c ¡^12
9aμ¼ 0 : 841 or 5 : 44 bμ¼ 3 : 39 or 6 : 03
cμ¼ 1 : 25 or 4 : 39
10 perimeter¼ 34 : 1 cm, area¼ 66 : 5 cm^2
11 r¼ 8 : 79 cm, area¼ 81 : 0 cm^212 a 0 b sinμ
13 sin®=
p 91
10 , cos®=¡
3
10 , tan®=¡
p 91
3 ,
cosec®=p^1091 , cot®=¡p^391
EXERCISE 9A
1aperiodic bperiodic c periodic
dnot periodic eperiodic f periodic
gnot periodic hnot periodic
2a
bA curve can be fitted to the data.
cThe data is periodic.
i y=32(approx.) ii ¼ 64 cm
iii ¼ 200 cm iv ¼ 32 cm
3a
Data exhibits periodic behaviour.
b
Not enough information to say data is periodic.
EXERCISE 9B
1a
b
c
d
e
f
2aa=2 b a=5 ca=11
3ab=3 b b=5 cb=6 d b=4
4ac=3 b c=¡ 1 cc=5
5a
3
-3
¼¼ 22 ¼¼
y
x
y = 3_¡¡¡sinx
O 33 ¼¼ 44 ¼¼
4
-4
¼¼ 22 ¼¼
y
y = 4_¡¡¡sinx
O 33 ¼¼ 44 ¼¼ x
10
20
30
40
50
60
50 100 150 200 250 300 350 400
height above
ground
()cm
O
distance travelled cm()
-1
1
2 4 6 8 10 12
y
O x
2
4
6
8
10
2 4 681012
y
O x
1
-1
x
y
y=¡¡¡sin3x
O ¼¼ 22 ¼¼ 33 ¼¼ 44 ¼¼
1
-1
x
y y=¡¡¡sin4x
O ¼¼ 22 ¼¼ 33 ¼¼ 44 ¼¼
3
2
1
y
¼ 2 ¼ x
y=¡¡¡¡¡sinx+2
O 3 ¼ 4 ¼
-1
-2
-3
y
x
¼ 2 ¼
y=¡¡¡¡¡sinx-3
3 ¼ 4 ¼
-4
O
2
-2
¼ 2 ¼
y
x
y=3_¡¡¡sinx-1
-4
O
y
x
O
cyan magenta yellow black
(^05255075950525507595)
100 100
(^05255075950525507595)
100 100 IB HL OPT
Sets Relations Groups
Y:\HAESE\CAM4037\CamAdd_AN\479CamAdd_AN.cdr Tuesday, 8 April 2014 8:33:47 AM BRIAN