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C3 Equations
Any proofs and equations which need to be learnt before sitting the C3 CCEA A2 Mathematics A-Level
21
Mathematics
Intermediate
05/13/2016
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Cards

Term

Tanθ=

 Equation

 

 Definition

Sinθ

 

Cosθ

 
Term

Sec2θ=

Equation

 Definition
1+tan2θ
Term

Cosec2θ=

Equation

 Definition
1+Cot2θ
Term
Cotθ=
 Definition

Cosθ

Sinθ

 
Term

Sin(2x)

EQUATION

 Definition
2Sin(x)Cos(x)
Term
Cos(2x)
 Definition

Cos2(x)-Sin2(x)

Ξ2Cos2(X)-1

Ξ1-2Sin2(x)
Term
f(x)→f(x+a)
 Definition
Translation [image]
Term
f(x)→f(x)+a
 Definition
Translation[image]
Term
f(x)→-f(x)
 Definition
x axis reflection
Term
f(x)→f(-x)
 Definition
y axis reflection
Term
f(x)→af(x)
 Definition
y axis stretch, scale factor a
Term
f(x)→f(ax)
 Definition

x axis stretch, scale factor (1/a)

 
Term
what order do you carry out when two transformations?
 Definition
( ), x, +, -
Term
∫ enx =
 Definition
1/nenx
Term
∫ 1/x=
 Definition
ln|x|
Term
∫ Cos(nx) =
 Definition
1/nSin(x)
Term
∫ Sin(nx) =
 Definition
-1/nCos(x)
Term
differentiate y=enx
 Definition
dy/dx =nenx
Term
differentiate y=Sin(nx)
 Definition
dy/dx =nCos(nx)
Term
differentiate y=Cos(nx)
 Definition
dy/dx = -nSin(nx)
Term
differentiate y=tan(x)
 Definition
dy/dx =Sec2(x)
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