MAWA FORMULA SHEET FOR MATHEMATICS SPECIALIST (Unit 1).docx
MAWA FORMULA SHEET FOR MATHEMATICS SPECIALIST (Unit 1)
Combinatorics
Combinations
Inclusion – exclusion principle
Permutations
Vectors in the plane
Magnitude of a vector
Unit vector
Scalar product
Vector projection (of a on b)
Trigonometric functions formulae from Mathematical Methods
Angle sum and difference identites sinA±B=sinAcosB±cosAsinB
cosA±B=cosAcosB∓sinAsinB
Area of a sector A=12r2θ
Area of a segment A=12r2(θ-sinθ)
Length of an arc l=rθ
Length of a chord l =2rsin12θ
Sine rule asinA=bsinB=csinC
Cosine rule c2=a2+b2-2abcosC
Cot(x)=1/(tanx)
Tan(x)=sin(x)/cos(x)