1
Q
Un of an arithmetic sequence
A
a + (n-1)d
2
Q
Un of geometric sequence
A
a*r^(n-1)
3
Q
Arc length in radians
A
rθ
4
Q
Sector area in radians
A
½r²θ
5
Q
Trig identity linking tan²θ and sec²θ
A
sec²θ = 1 + tan²θ
6
Q
Trig identity linking cosec²θ and cot²θ
A
cosec²θ = 1 + cot²θ
7
Q
Separate sin2θ
A
2sinθcosθ
8
Q
Separate cos2θ
A
cos²θ - sin²θ
1 - 2sin²θ
2cos²θ - 1
9
Q
Separate tan2θ given
tan(a±b) = (tana ± tanb) / (1 ∓ tanatanb)
A
2tanθ / (1 - tan²θ)
10
Q
Differentiate sin(kθ)
A
kcos(kθ)
11
Q
Differentiate cos(kθ)
A
-ksin(kθ)
12
Q
Differentiate lnx
A
1/x
13
Q
Differentiate f(x)g(x)
A
f(x)g’(x) + f’(x)g(x)
14
Q
Differentiate f(x) / g(x)
A
f(x)g’(x) - f’(x)g(x) / g(x)²
15
Q
Differentiate fg(x)
A
f’(g(x))* g’(x)
16
Q
Simplify a sin(x) ± b cos(x)
A
R sin (x ± a)
R = √(a² + b²)
17
Q
Simplify a cos(x) ± b sin(x)
A
R cos (x ∓ a)
R = √(a² + b²)
Edexcel A-Level Maths
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