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Page 1

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CORE 2
SEQUENCES
K = term

a1 = first term

an = last term

d = common difference

n = number of terms in sequence

r = common ratio

Arithmetic- same value added/subtracted each time

for the kth term ak = a + (k-1) d
or for the last term…

Page 2

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1-r

Trigonometry
Sine rule
Use for right angled triangles-
o unknown side ­ 2 angles and a side
o unknown angle ­ 2 sides and included angle


a = b = c
SinA SinB Sin C
Cosine rule
Used to fine-
o Unknown side ­ two sides and angle between…

Page 3

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Arcs and Sectors
Area of a sector (in radians)




Length of an arc (in radians)



Radians



To convert degrees into radians multiply by



To convert radians into degrees multiply by




Logarithms

Page 4

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The rules
1) logb(mn) = logb(m) + logb(n)
2) logb(m/n) = logb(m) ­ logb(n)
3) logb(mn) = n · logb(m)
4) log 1 = 0
5) logmm = 1

34 = 81 log381 = 4
base power base power



Sine, Cosine and Tangent




Cos (360 ­ x) and (x ±…

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