# Core 2 summary edexcel

- Created by: Abbie Evans
- Created on: 04-04-13 22:32

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- Core 2 Maths
- Algebra and functions
- if f(a)= 0 the (x-a) is a factor

- Sine and Cosine
- For angle: SinA/a=SinB/b
- For side: a/SinA=b/SinB
- Cosine: a²=b²+c²-2BCcosA or CosA=b²+c²-a²/2BC
- Area of a triangle: 1/2 absinC

- Logarithms
- logan=x means a^x=n
- LogaXY=LogaX+ LogaY
- Loga(X/Y)=LogaX-LogaY
- Loga(X)^k=KlogaX

- Coordinate geometry
- Equation of A circle (x-a)^2-(y-b)^2 = r^2

- Radian Measure
- Arc length = r?
- Area of a sector A=1/2r²?
- Area of segment A= 1/2r²(?-sin?)

- Geometric series and sequences
- Ar^n-1 where a=first term, r= common ratio
- Sn=a(r^n -1)/r-1
- s?=a/1-r

- Differentiation
- If dy/dx >0 the point is minimum if <0 maximum if =o point of inflection

- Trigonometric Identities
- tan?=sin?/cos?
- sin²?+cos²?=1

- Integration
- Area = ? ba f(x)dx
- Trapezium rule 1/2h( y0+2(y1+y2+yn-1)+yn)
- H=b-a/n

- Algebra and functions

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