Core Maths C3
Advanced January 2013
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The following videos will give you the worked solutions and answers for the Edexcel GCE Core Mathematics C3 Advanced January 2013. The questions are given here
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C3 Edexcel Core Mathematics January 2013 Question 6
Working with Trig Identities
6. (i) Without using a calculator, find the exact value of
(sin 22.5° + cos 22.5°)2
You must show each stage of your working.
(ii) (a) Show that cos 2θ + sinθ = 1 may be written in the form
k sin2θ – sinθ = 0, stating the value of k.
(b) Hence solve, for 0° ≤ θ < 360°, the equation
cos 2θ + sinθ = 1
6 (b) Solving Trig. Equations
C3 Edexcel Core Mathematics January 2013 Question 7
Simplifying Algebraic Fractions
7 (a) Show that h(x) = 2x/(x2
(b) Hence, or otherwise, find h ′(x) in its simplest form.
Figure 2 shows a graph of the curve with equation y x = h( ) .
(c) Calculate the range of h( ) x
C3 Edexcel Core Mathematics January 2013 Question 8
8. The value of Bob’s car can be calculated from the formula
V = 17000e-0.25t + 2000e-0.5t + 500
where V is the value of the car in pounds (£) and t is the age in years.
(a) Find the value of the car when t = 0
(b) Calculate the exact value of t when V = 9500
(c) Find the rate at which the value of the car is decreasing at the instant when t = 8.
Give your answer in pounds per year to the nearest pound.
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