材料工程UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
International General Certificate of Secondary Education
*8006817548*
ADDITIONAL MATHEMATICS 0606/12
Paper 1 October/November 2012
2 hours
Candidates answer on the Question Paper.Additional Materials:
Electronic calculator.
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.Write in dark blue or black pen.
Y ou may u a pencil for any diagrams or graphs.
Do not u staples, paper clips, highlighters, glue or correction fluid.
Answer all the questions.
Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the ca of angles in degrees, unless a different level of accuracy is specified in the question.
The u of an electronic calculator is expected, where appropriate.Y ou are reminded of the need for
clear prentation in your answers.
At the end of the examination, fasten all your work curely together.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 80.
For Examiner’s U 1 2 3 4 5 6 7 8 91011Total
Mathematical Formulae
1. ALGEBRA Quadratic Equation
For the equation ax2 + bx + c = 0,
x
b
东方阳
a =
−
2
Binomial Theorem
(a + b)n = a n + (n1)a n–1b + (n2)a n–2b2 + … + (n r)a n–r b r + … + b n, where
n is a positive integer and (n r)= n!(n – r)!r!
2. TRIGONOMETRY
Identities
sin2A + cos2A = 1
c2A = 1 + tan2A
coc2A = 1 + cot2A
Formulae for ∆ABC
a
sin A =
b
sin B =
c
sin C
a2 = b2 + c2 – 2bc cos A
∆ = 1
2
bc sin A
奥马冰箱
0606/12/O/N/12
© UCLES 2012
0606/12/O/N/12
© UCLES 2012[Turn over
For Examiner’s U
1
It is given that a = 43 , b = –12 and c = 21
2 .
(i) Find |a + b + c |. [2]
(ii)
Find λ and μ such that λ a + μ b = c . [3]
0606/12/O/N/12
© UCLES 2012For Examiner’s U
2 (i) Find the inver of the matrix
2 –1怎么会得糖尿病
–1 1.5 . [2]
(ii) Hence find the matrix A such that 2 –1–1 1.5 A = 1 6
–0.5 4 . [3]
3 (i) Show that cot θ +
服务总结怎么写sin θ
1 + cos θ
= coc θ. [5]
(ii)
Ex plain why the equation cot θ + sin θ
1 + cos θ = 12
has no solution.
生入玉门关[1]
高效轧制国家工程研究中心
0606/12/O/N/12
© UCLES 2012[Turn over
For
Examiner’s U
4
应急值班制度
Given that log a pq = 9 and log a p 2q = 15, find the value of
(i) log a p and of log a q , [4]
(ii) log p a + log q a . [2]
