01
K·
THE KNOWLEDGE / MATHS
6th Form Further knowledge
Facts currently selected by your teacher · 25 facts · questions only
Algebra
02
Quadratic formula
03
The factor theorem
Trigonometry
05
The sine rule
06
The cosine rule
07
Area of a triangle using two sides and the included angle
10
Sketch the graph of y = sin x in degrees and radians
11
Sketch the graph of y = cos x in degrees and radians
12
Sketch the graph of y = tan x in degrees and radians
13
Special values of sin, cos and tan (in both degrees and radians)
14
Arc length when the angle is in radians
15
Area of a sector when the angle is in radians
16
Identity linking tan θ, sin θ and cos θ
56
Small-angle approximations for sin θ, cos θ and tan θ
Coordinate geometry
08
Equation of a circle
09
Equation of a straight line with gradient m passing through (x₁, y₁)
Graphs
24
Sketch the graph of y = x²
25
Sketch the graph of y = x³
26
Sketch the graph of y = 1/x
30
Transformation y = f(x) + a
31
Transformation y = f(x + a)
32
Transformation y = af(x)
33
Transformation y = f(ax)
34
Transformation y = −f(x)
35