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Author Topic: Specialist 1/2 Question Thread!  (Read 119951 times)  Share 

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mtDNA

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Re: Specialist 1/2 Question Thread!
« Reply #30 on: April 18, 2016, 08:06:59 pm »
0
Not necessarily content related, however I was just wondering, from the Cambridge textbook which chapters are similar to the 3/4 specialist course? Which chapters would be have to pay particular attention to?
Thanks!


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Gogo14

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Re: Specialist 1/2 Question Thread!
« Reply #31 on: April 21, 2016, 06:28:33 pm »
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How do you simplify the cosine rule in terms of sine? Teacher said it a trig identity , but someone explain to me what is and how you do it. Thnx
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Syndicate

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Re: Specialist 1/2 Question Thread!
« Reply #32 on: April 21, 2016, 07:04:23 pm »
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How do you simplify the cosine rule in terms of sine? Teacher said it a trig identity , but someone explain to me what is and how you do it. Thnx

Cosine rule:


Sine rule:


Trigonometric Identity:



So now you can write the cosine rule in terms of sine. Your final formula will look like:
« Last Edit: April 24, 2016, 04:35:08 pm by Syndicate »
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Syndicate

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Re: Specialist 1/2 Question Thread!
« Reply #33 on: April 24, 2016, 04:01:21 pm »
+1
Two questions, see the attached pictures.

1) I believe e is not the right answer in this case. As you are trying to trying to find x^2 +1/x (were x = 2+/3), you should be getting 9 - 3 * sqrt{3}



and.....


Therefore....

and even if you try to somehow expand it, it is nowhere close to the correct answer.

2) Assuming your set contains 5 elements (A, B, C, D, E), you should end up with 32 subsets (inc the empty subset). The formula you should be using in thise case is:


where n is the number of elements in the set (A).

More direct way of approaching the situation is:

empty subset (containing 0 elements) - 1
{}
subsets containing 1 element - 5
{A}
{B}
{C}
{D}
{E}

subsets containing 2 elements - 10
{AB}
{AC}
{AD}
{AE}
{BC}
{BD}
{BE}
{CD}
{CE}
{DE}

subsets containing 3 elements - 10
{ABC}
{ABD}
{ABE}
{ACD}
{ACE}
{ADE}
{BCD}
{BCE}
{BDE}
{CDE}

subsets containing 4 elements - 5
{ABCD}
{ABCE}
{ABDE}
{ACDE}
{BCDE}

subsets containing 5 elements - 1
{ABCDE}

Add the amount of subsets and you will get 32, which is d

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anotherworld2b

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Re: Specialist 1/2 Question Thread!
« Reply #34 on: May 21, 2016, 10:34:26 am »
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Hello
I was wondering if I could have help in how to solve Q9.  :)

anotherworld2b

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Re: Specialist 1/2 Question Thread!
« Reply #35 on: June 04, 2016, 09:44:17 am »
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Hello
I was wondering if I could get advice in what to put on the notes that we are given for
the specialist exam. I know that the calc free section you can't use notes or calc and that
for calc assumed you can. But I am confused on what I should know how to do without notes and
what I should put on the notes. We've covered vector proof, component form ,dot product, scalar projection, permutation, combination, Pascal's triangle/ proofs, converse, contrapositive and inverse as well as circle proofs. Help is greatly appreciated for my study  ;D

StupidProdigy

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Re: Specialist 1/2 Question Thread!
« Reply #36 on: June 05, 2016, 10:36:53 am »
+1
http://imgur.com/a/eYMxC quick question. I had to copy the 2nd line from the book to solve this but on the RHS, why don't they have a y^2 in the square root as well since (y-0)^2.

Ty
Only had a quick look but for the line x=-1, it has the coordinates (-1,y), and what you've said is that it is a single point (-1,0) instead of a vertical line that can have infinitely many y values. So effectively you get (y-y)^2 which is why the term is absent.  :)
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keltingmeith

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Re: Specialist 1/2 Question Thread!
« Reply #37 on: June 09, 2016, 11:37:34 pm »
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Hello
I was wondering if I could get advice in what to put on the notes that we are given for
the specialist exam. I know that the calc free section you can't use notes or calc and that
for calc assumed you can. But I am confused on what I should know how to do without notes and
what I should put on the notes. We've covered vector proof, component form ,dot product, scalar projection, permutation, combination, Pascal's triangle/ proofs, converse, contrapositive and inverse as well as circle proofs. Help is greatly appreciated for my study  ;D

Put everything in there. But also have everything memorised. There is, technically, no limit on what they can give you on calc free or calc able, so best to be prepared for anything. You'll probably find that in the process of writing your reference book for your calc able exam, things will start to stick in your mind, even without you trying to memorise them. ;D

Adequace

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Re: Specialist 1/2 Question Thread!
« Reply #38 on: June 15, 2016, 09:08:21 pm »
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http://imgur.com/HaMD8la

For part b, I'm a bit stuck. Before calculating p, the answer states that the number of male swimmers can be 0,1,2,3,4. Can't there also be 5?

They then calculate P=0.8 and 1 (just listed 2 of the answers), how did they get these 2 answers. Isnt the sample size 20?

Thanks

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Re: Specialist 1/2 Question Thread!
« Reply #39 on: June 28, 2016, 06:19:59 pm »
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Hi everyone,

I have the following question and I'm just wondering if my answer and working is all correct.
"Find the locus of the point P(x ,y) such that AP=6, given point A(3 ,2)"

This is circle with a centre of (3, 2) and a radius of 6.
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Re: Specialist 1/2 Question Thread!
« Reply #40 on: June 28, 2016, 06:32:43 pm »
+1
Hi everyone,

I have the following question and I'm just wondering if my answer and working is all correct.
"Find the locus of the point P(x ,y) such that AP=6, given point A(3 ,2)"

This is circle with a centre of (3, 2) and a radius of 6.

Looks good to me
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Clockwork

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Re: Specialist 1/2 Question Thread!
« Reply #41 on: June 28, 2016, 11:53:48 pm »
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anotherworld2b

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Re: Specialist 1/2 Question Thread!
« Reply #42 on: July 05, 2016, 11:47:38 pm »
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Hi i was wondering if i fould recieve help on solving these proofs. I am still relatively new to proving trig identities so i didnt know what i can and should do

Syndicate

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Re: Specialist 1/2 Question Thread!
« Reply #43 on: July 06, 2016, 03:09:56 pm »
+1
Hi i was wondering if i fould recieve help on solving these proofs. I am still relatively new to proving trig identities so i didnt know what i can and should do

10)











11)













« Last Edit: July 06, 2016, 03:25:14 pm by Syndicate »
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anotherworld2b

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Re: Specialist 1/2 Question Thread!
« Reply #44 on: July 06, 2016, 10:56:14 pm »
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10)











11)














Thank you so much for your help :D
I wanted to ask some questions if that's okay
For Q10
How did It go from

to






Further explanation would be greatly appreciated :D
I am still greatly lacking in understanding how to apply the trig identities and manipulating them
I also wanted to ask about Q11. How did you prove it from this step onwards?
I am still relatively new to trig identities proofs











« Last Edit: July 06, 2016, 11:00:47 pm by anotherworld2b »