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Specialist 1/2 Question Thread!

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mtDNA:
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!

Gogo14:
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

Syndicate:

--- Quote from: Gogo14 on April 21, 2016, 06:28:33 pm ---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

--- End quote ---

Cosine rule:


Sine rule:


Trigonometric Identity:



So now you can write the cosine rule in terms of sine. Your final formula will look like:

Syndicate:

--- Quote from: modulus on April 24, 2016, 02:44:00 pm ---Two questions, see the attached pictures.

--- End quote ---

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

anotherworld2b:
Hello
I was wondering if I could have help in how to solve Q9.  :)

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