# C4 revision

This resource is an overview of the basic information needed before the WJEC exam. Be aware that some of the flashcards will help you if you can recite them, but may be included in the Formula booklet.

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Binomial Expansion
(1+x)^n = 1 + nx + (n(n-1)(n-2)x^2)/2! + (n(n-1)(n-2)x^3)/3! + ...
1 of 26
(1+(x/3))^-1
Ix/3I < 1 IxI < 3
2 of 26
4x+1 / (x+1)^2(x-2)
A/(x+1)^2 + B/(x+1) + C(x-2)
3 of 26
sin(2A)
2sin(A)cos(A)
4 of 26
cos2A
cos^2(A) - sin^2(A)
5 of 26
cos(2A)
1-2sin^2(A)
6 of 26
cos(2A)
2cos^2(A)-1
7 of 26
tan(2A)
(2tan(A)) / (1-tan^2(A))
8 of 26
sin^2(A)
1/2(1-cos2A)
9 of 26
cos^2(A)
1/2(1+cos2A)
10 of 26
Rsin(x) / Rcos(x)
tan(x)
11 of 26
Equation of a line
y-y1 = m(x-x1)
12 of 26
ln(ab)
ln(a) + ln(b)
13 of 26
ln(a/b)
ln(a) - ln(b)
14 of 26
volume of revolution
Pi~b-a y^2 dx
15 of 26
Integration by parts
uv - ~(v*du/dx) dx
16 of 26
Magnitude of a vector
root ((a^2) + (b^2) + (c^2))
17 of 26
Distance between A(x1, y1, z1) and B(x2, y2, z2) [3D]
root ((x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2)
18 of 26
Distance between A(x1, y1) and B (x2, y2) [2D)
root ((x2-x1)^2 + (y2-y1)^2)
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vector equation of a line
a + scalar parameter(b)
20 of 26
AB
b-a
21 of 26
Angle between two vectors
a.b = IaIIbIcos(x)
22 of 26
Conditions for perpendicular vectors
a.b = 0
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(ax^2 +bx +R) / (cx+d)((ex+f)^2)
A/(cx+d) + B(ex+f) + C/(ex+f)^2
24 of 26
For vectors to be parallel
a = Kb
25 of 26
dy/dx = f(x)g(y)
~1/g(y) dy = ~f(x) dx
26 of 26

## Other cards in this set

### Card 2

#### Front

Ix/3I < 1 IxI < 3

(1+(x/3))^-1

### Card 3

#### Front

A/(x+1)^2 + B/(x+1) + C(x-2)

2sin(A)cos(A)

### Card 5

#### Front

cos^2(A) - sin^2(A)