# Core 2 summary edexcel

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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
• 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

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For the algebraic functions do you mean:

if f(a)=0 then (x-a) is a factor [Factor Theorem]

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yes, it needs some editing :)

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if d2y/dx2>0 then its a min point........

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