OML Search

Edexcel GCE Core Mathematics C3 January 2012

Are you looking for A-level Maths help?

The following videos will give you the worked solutions and answers for the Edexcel GCE Core Mathematics C3 Advanced January 2012. Try out the Past paper for Edexcel C3 January 2012 and check out the video solutions if you need any help.

Related Topics
More Worked Solutions and A-level Maths help

Free Math Worksheets

C3 Edexcel Core Mathematics January 2012 Question 6

6. f(x) = x2 - 3x + 2cos(½ x) , 0 ≤ x ≤ π

(a) Show that the equation f (x) = 0 has a solution in the interval 0.8 <x< 0.9

The curve with equation y = f (x) has a minimum point P.

(b) Show that the x-coordinate of P is the solution of the equation

x = [3 + sin(½ x)]/2

(c) Using the iteration formula
xn+1 = [3 + sin(½ xn)]/2 , x0 = 2

find the values of x1, x2 and x3 , giving your answers to 3 decimal places.
(d) By choosing a suitable interval, show that the x-coordinate of P is 1.9078 correct to 4 decimal places.
6 (a) Roots - Change of sign method.

6 (b)

6 (c) Iteration
6 (d) Change of sign.

C3 Edexcel Core Mathematics January 2012 Question 7

7. The function f is defined by

(a) Show that f(x) = 1/(2x - 1)

(b) Find f-1(x)

(c) Find the domain of f−1

g(x) = ln(x + 1)

(d) Find the solution of fg(x) = 1/7, giving your answer in terms of e.

7 (a) Simplifying algebraic fractions.
7 (b) Inverse functions

7 (c) domain
7 (d) combining functions

C3 Edexcel Core Mathematics January 2012 Question 8

8. (a) Starting from the formulae for sin ( A + B ) and cos ( A + B ), prove that

tan (A + B) = (tan A + tan B)/(1 - tanA tanB)

(b) Deduce that

(c) Hence, or otherwise, solve, for 0 ≤ θ ≤ π ,

1 + √3 tanθ = (√3 - tanθ)tan(π - θ)

Give your answers as multiples of π

8 (a) Trig. Identities
8 (b) Trigonometry

8 (c) Trig. equations

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget

OML Search

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.