Cambridge Additional Mathematics

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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

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100 100
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100 100 IB HL OPT
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Y:\HAESE\CAM4037\CamAdd_AN\479CamAdd_AN.cdr Tuesday, 8 April 2014 8:33:47 AM BRIAN

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