Question

Q3 http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20(9709)/9709_s08_qp_3.pdf
part 1.

Answer 1

are you trying to get into Cambridge?

Answer 2

Which Question ?

Answer 3

Q3

Answer 4

@tomo : I already study in a Cambridge system.

Answer 5

nice

Answer 6

Sorry @saifoo.khan I don't know the Solution

Answer 7

@tomo thanks
@Tribute2SarabjitSingh np
@hartnn C'mon man!!

Answer 8

the absolute value one?

Answer 9

Q3

Answer 10

Is it that hard? @satellite73

Answer 11

2(2r+xr)=8a

Answer 12

r=a/sinx

Answer 13

Or do you mean 2(2x+xr) = 8a ?

Answer 14

The
perimeter of the sector AMN is equal to half the perimeter of the rectangle.

Answer 15

Ah! RIGHT! I made a mistake.

Answer 16

ohh sorry tehre 2r instead of 2x

Answer 17

Whats next?

Answer 18

substitute
2(2r+xr)=8a
4r+2xr=8rsinx

Answer 19

divide by 2r

Answer 20

2+x=4sinx

Answer 21

sinx =
1
4
(2+x).

Answer 22

Awesome!
What about part (ii) ?

Answer 23

In part (ii), we just have to insert 0.8?

Answer 24

Wait. i got it.

Answer 25

Thanks @SerikMB

Answer 26

how did u solve it?

Answer 27

just substitute four times?

Answer 28

first insert 0.8, then insert the answer back, then insert the answer again.
We will get a series of answers.
0.7754
0.7668
0.7638
0.7628

Since we needed the answer correct to 2dp, so our answer will be 0.76

Answer 29

thx u too

Answer 30

np

Answer 31

Wanna try q4?

Answer 32

sorry, i didn't notice ur reply, well it's very easy but quite tedious
\[\tan(30+\theta)=2\tan(60-\theta)\]

Answer 33

\[\frac{ \tan30-\tan \theta }{ 1-\tan30*\tan \theta }=2*\frac{ \tan60-\tan \theta }{ 1+\tan60*\tan \theta }\]

Answer 34

tan60=square root 3
tan30=square root 3 over just 3

Answer 35

take tan(theta) as x to make calculation easier

Answer 36

\[\frac{ \frac{ \sqrt{3} }{ 3 } +x}{ 1-\frac{ \sqrt{3} }{ 3 }*x }=2*\frac{ \sqrt{3}-x }{ 1+\sqrt{3}*x }\]

Answer 37

by the calculation you will get \[\sqrt{3}*x ^{2}+18x-5\sqrt{3}=0\]

Answer 38

divide by \[\sqrt{3}\]

Answer 39

and you will get the answer