Download Parametric Equations

C4 – Formula Sheet
Complete the following worksheet showing formulae and results needed for C4
Algebra
The binomial expansion when n is rational but not a positive integer, and –1< x < 1
(1 + x)n =
Trigonometry
sin2x =
cos2x =
Coordinate Geometry
Parametric Equations
If y = f(t), x = f(t) are the parametric equations of a curve then
dy
=
dx
Calculus
Parametric Equations
If y = f(t), x = f(t) are the parametric equations of a curve then
dy
=
dx
Integration
 sin kx dx = ……………………….
 cos kx dx = ……………………….
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 sec
e
2
kx
kx dx = …………………….
dx = ……………………….
 x dx = ……………………….
1

f (x)
dx = …………………….
f(x)
Volume of revolution
Vx = …………………………
Integration by Parts

u
dv
dx =
dx
Vectors
Unit vectors are vectors which have a magnitude of …..
Vector equation of a line through a parallel to b is r =
Two vectors are parallel if they are ……………… of each other.
The magnitude of a vector a = a = xi  yj  zk =
Scalar product
a.b =
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Numerical Methods
Trapezium Rule states:
b
 f(x) dx  ……………………….
a
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