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Author Topic: CIE A Level's Paper 3 Question!  (Read 1583 times)

Offline sabbath_92

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CIE A Level's Paper 3 Question!
« on: May 13, 2010, 05:30:49 pm »
Maths May 2005 Question 4.

It's not that tough though:

Here's the link:

http://www.freeexampapers.com/Dndex.php?d=QSBMZXZlbC9NYXRocy9DSUUvMjAwNSBKdW4=

Please show all the steps in (i).
« Last Edit: May 13, 2010, 05:57:14 pm by sabbath_92 »
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Offline unknown 101

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Re: CIE A Level's Paper 3 Question!
« Reply #1 on: May 13, 2010, 05:38:01 pm »
Quote from: sabbath_92 on May 13, 2010, 05:30:49 pm
May 2005 Question 4.

It's not that tough though:

Here's the link:

http://www.freeexampapers.com/Dndex.php?d=QSBMZXZlbC9NYXRocy9DSUUvMjAwNSBKdW4=

Please show all the steps in (i).

which paper is the question in ?
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Offline sabbath_92

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Re: CIE A Level's Paper 3 Question!
« Reply #2 on: May 13, 2010, 05:39:16 pm »
Quote from: unknown 101 on May 13, 2010, 05:38:01 pm
which paper is the question in ?

Paper 3. It's in the title.
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Offline unknown 101

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Re: CIE A Level's Paper 3 Question!
« Reply #3 on: May 13, 2010, 05:45:44 pm »
Quote from: sabbath_92 on May 13, 2010, 05:39:16 pm
Paper 3. It's in the title.

paper 3 is practical isnt it???
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Offline sabbath_92

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Re: CIE A Level's Paper 3 Question!
« Reply #4 on: May 13, 2010, 05:49:56 pm »
Quote from: unknown 101 on May 13, 2010, 05:45:44 pm
paper 3 is practical isnt it???

No you don't have practicals in maths.
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Offline unknown 101

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Re: CIE A Level's Paper 3 Question!
« Reply #5 on: May 13, 2010, 05:51:00 pm »
Quote from: sabbath_92 on May 13, 2010, 05:49:56 pm
No you don't have practicals in maths.

oh crap i thought u were talkin about biology, hahahaha
srry my bad!!!
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Offline sabbath_92

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Re: CIE A Level's Paper 3 Question!
« Reply #6 on: May 13, 2010, 05:53:07 pm »
Quote from: unknown 101 on May 13, 2010, 05:51:00 pm
oh crap i thought u were talkin about biology, hahahaha
srry my bad!!!


Lol it's aight. I hope I get the answer to the main question though.
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Offline unknown 101

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Re: CIE A Level's Paper 3 Question!
« Reply #7 on: May 13, 2010, 05:55:05 pm »
Quote from: sabbath_92 on May 13, 2010, 05:53:07 pm

Lol it's aight. I hope I get the answer to the main question though.

srry i cant help i dont take math :(
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Offline ifraha18

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Re: CIE A Level's Paper 3 Question!
« Reply #8 on: May 13, 2010, 06:18:50 pm »
i. x=tan?
 so dx/d?=sec^2?
     dx=sec^2? d?


substitute it for dx in equation...the equation is

1_x^2/(1+x^2)^2 dx
whch becomes
1_tan^2?/(1+tan^2?)^2 sec^2 ?d?
then put in the identity fr 1+tan^2 ? as sec^2 ?

1-(sec^2?_1)/(sec^2?)^2 *sec^2 ? d?
then we get
2_sec^2?/sec^2? *d?
then
(2/sec^2?) _1 * d?
2cos^2? _1 d?
cos2? d?
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Offline ifraha18

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Re: CIE A Level's Paper 3 Question!
« Reply #9 on: May 13, 2010, 06:19:52 pm »
queston marks are for thetha
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Offline sabbath_92

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Re: CIE A Level's Paper 3 Question!
« Reply #10 on: May 13, 2010, 06:29:31 pm »
Quote from: ifraha18 on May 13, 2010, 06:18:50 pm
i. x=tan?
 so dx/d?=sec^2?
     dx=sec^2? d?


substitute it for dx in equation...the equation is

1_x^2/(1+x^2)^2 dx
whch becomes
1_tan^2?/(1+tan^2?)^2 sec^2 ?d?
then put in the identity fr 1+tan^2 ? as sec^2 ?

1-(sec^2?_1)/(sec^2?)^2 *sec^2 ? d?
then we get
2_sec^2?/sec^2? *d?
then
(2/sec^2?) _1 * d?
2cos^2? _1 d?
cos2? d?

Thank you so much lol. I can imagine it was a pain writing all that down lol.

BUT, how do you get

(2/sec^2?) _1 * d?
from
2_sec^2?/sec^2? *d?
That was the part I was confused with when I first tried it.

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Offline sabbath_92

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Re: CIE A Level's Paper 3 Question!
« Reply #11 on: May 13, 2010, 06:32:48 pm »
Nevermind I got it  :-[lol
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Offline ifraha18

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Re: CIE A Level's Paper 3 Question!
« Reply #12 on: May 13, 2010, 06:35:31 pm »
2_sec^2 ?/sec^2? * d?

re arranging...
this is
(2/sec^2?)_(sec^2?/sec^2?) *d?
so it becomes
(2/sec^2?)_1

n den solve de rest
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Offline sabbath_92

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Re: CIE A Level's Paper 3 Question!
« Reply #13 on: May 13, 2010, 06:44:10 pm »
These are the only identities that are needed for a2 right? Am I missing something?

tan(x y) = (tan x tan y) / (1  tan x tan y)

sin(2x) = 2 sin x cos x

cos(2x) = cos^2(x) - sin^2(x) = 2 cos^2(x) - 1 = 1 - 2 sin^2(x)

tan(2x) = 2 tan(x) / (1 - tan^2(x))

sin^2(x) = 1/2 - 1/2 cos(2x)

cos^2(x) = 1/2 + 1/2 cos(2x)

sin x - sin y = 2 sin( (x - y)/2 ) cos( (x + y)/2 )

cos x - cos y = -2 sin( (x - y)/2 ) sin( (x + y)/2 )
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Offline ifraha18

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Re: CIE A Level's Paper 3 Question!
« Reply #14 on: May 13, 2010, 06:47:24 pm »
identities r given in the mf9 fromulae sheet
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