Cambridge Additional Mathematics

Answers 483

c

3aminimum=0, maximum=2

bminimum=¡ 2 , maximum=2

cminimum=¡ 3 , maximum=3

dminimum=¡ 2 , maximum=0

4a 2 ¼ b ¼ 2 c ¼ d ¼ 3

5 Function Period Amplitude

y= 3 sin 2x+1 ¼ 3

y= tan 2x ¼ 2 undefined

y= 2 cos 3x¡ 3 23 ¼ 2

Function Domain Range

y= 3 sin 2x+1 x 2 R ¡ 26 y 64

y= tan 2x x 6 =§¼ 4 ,§^34 ¼,:::: y 2 R

y= 2 cos 3x¡ 3 x 2 R ¡ 56 y 6 ¡ 1

6 y= 4 cos 2x

7

8ax¼ 115 ±, 245 ±, 475 ±, 605 ± bx¼ 25 ±, 335 ±, 385 ±

9ax=^76 ¼,^116 ¼,^196 ¼,^236 ¼ bx=¡^74 ¼,¡^54 ¼,¼ 4 ,^34 ¼

cx=^49 ¼,^59 ¼,^109 ¼,^119 ¼,^169 ¼,^179 ¼

dx=¼ 4 ,^74 ¼,^94 ¼,^154 ¼

10 a 1 ¡cosμ b^1

sin®+ cos®

c ¡cos®

2

dcosecμ+1

12 ax=¡^23 ¼,¡¼ 6 ,¼ 3 ,^56 ¼ bx=¡^23 ¼,¡¼ 3 ,¼ 3 ,^23 ¼

REVIEW SET 9B

1aThe function repeats itself over and over in a horizontal

direction, in intervals of length 8 units.

bi 8 ii 5 iii ¡ 1

2ab=6 bb=24

3aminimum=¡ 8 , maximum=2

bminimum=¡ 2 , maximum=4

cminimum=5, maximum=13

4a

b

c

d

5aa=2, b=6,c=¡ 2

b

6ay= 2 tanx+2

b

7ax¼¡ 6 : 1 ,¡ 3 : 4 b x¼ 0 : 8

8 m=3, n=¡ 1

9ax=^32 ¼ b x=¼ 6 ,^56 ¼,^76 ¼,^116 ¼

y

O x

4 y=y=¡¡¡¡¡¡tantan2x+42x+4

prr_p_ wp_w_p EEf_fp_p ¼¼ Tf_Tfpp_ Es_Esp_p UfUf_p_p 22 ¼¼

2

-2

¼ 2 ¼ x

y

y=¡¡¡2_cosx

O

y=¡¡¡jj2_cosx

1

-1

¼ 2 ¼

x

y y=¡¡¡cosx

O

-2 y=¡¡¡cosx-3

-3

-4

y

O x

y = 2_¡¡¡tantanx

y=y=¡¡¡¡¡¡tantanxx

w_pp_w ¼¼ sEEs_p_p 22 ¼¼

2

-2

y

x

y=3_¡¡¡sinx+1

O

y=¡¡¡sinx

4

¼ 2 ¼

-2

-4

x

y

y = 2_¡¡¡sin6x - 2

O w_p ¼

2

¼ 2 ¼

x

y y=¡¡¡cos2x+1

O

y=¡¡¡cosx

1

1

y

O x

y=y=¡¡¡¡¡¡tantanxx

2

-2-2¼¼ --Es_Espp_ --¼¼ --p_wpw_ wp_wp_ ¼¼ sEEs_p_p 22 ¼¼

y=2_y=2_¡¡¡¡¡¡tantanx+2x+2

cyan magenta yellow black

(^05255075950525507595)
100 100
(^05255075950525507595)
100 100 IB HL OPT
Sets Relations Groups
Y:\HAESE\CAM4037\CamAdd_AN\483CamAdd_AN.cdr Tuesday, 8 April 2014 8:34:42 AM BRIAN