# AQA AS-Level Maths C2 Equations

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• Created by: EmilyHope
• Created on: 28-04-16 15:37
What is the equation for binomial expansion?
(a+b)^n = A^n + (nC1) A^n-1 b + (nC2) a^n-2 b^2 +.......+ b^n where n is positive
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How to work out Un in an arithmetic series?
Un = a + (n-1)d (a= first term n=number of terms d=common difference)
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Sum in arithmetic series
Sn = n/2 (2a = (n-1)d) OR Sn = n/2(a +L) where n = number of terms a= first term d= common difference and l = last term
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Un in geometric series?
Un = ar^n-1 where a= first term, r= common ratio and n= number of terms
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Sum of a geometric series?
Sn = a(1-r^n)/1-r
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Sum to infinity?
a/ 1-r when r
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Cosine rule?
a^2 = b^2 + c^2 - 2bcCosA (you can use this to find a side if given two sides and an angle, or to find an angle if you're given all three sides)
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Sine rule?
sinA/a = SinB/b OR b/SinB = a/SinA where capital letters are angles and lower case are side lengths
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What equation relates Sin, Cos, and Tan together?
sinX / CosX = TanX
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What equation relates Sin and Cos together?
Sin^2 X +Cos^2 X = 1
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Equation for arc length?
S = rX Remeber to always work in radians for arc and sector or these equations will not work!
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Equation for area of a sector?
A = 1/2 r^2 X Use radians!
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Area of a triangle equation?
1/2 a b SinC
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What are the four laws of logarithms?
N = a^x will become logaN = X, loga (xy) = logaX+logaY, loga(x/y) = logaX-logaY, loga(X^n)=nlogaX
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## Other cards in this set

### Card 2

#### Front

How to work out Un in an arithmetic series?

#### Back

Un = a + (n-1)d (a= first term n=number of terms d=common difference)

### Card 3

#### Front

Sum in arithmetic series

### Card 4

#### Front

Un in geometric series?

### Card 5

#### Front

Sum of a geometric series?