edexel mathematics

up by a

y=f(x)+a

down by a

y=f(x)-a

left by a

y=f(x+a)

right by a

y=f(x-a)

stretch parallel to y by a

y=af(x)

stretch parallel to x by a

y=f(ax)

reflection in y axis by a factor of a

y=f(-x)

reflection in x axis by a factor of x

y=-f(x)

Sum of interior angles of a polygon

180(n-2) where n = the number of sides

Exterior angle of a polygon

360/n where n = the number of sides

Sum of exterior angles of a polygon

360

Equation for a circle not on the origin

(x-a)^2 + (y-b)^2 = r^2 where a and b are the centre coordinates and r is the radius

Equation for a circle on the origin

x^2 + y^2 = r^2

Equation for the volume of a cylinder

πr²h

Equation for the surface area of a cylinder

2(πr²)+h(πd)

Equation for the volume of a sphere

4/3πr³

Equation for the surface area of a sphere

4πr²

Equation for the volume of a cone

πr²(h/3)

Equation for the surface area of a cone

πrl+πr²

Equation for the volume of a pyramid

1/3 x area of base x height

Area of a sector

(x/360) x πr²

Equation for the length of an arc

(x/360) x 2πr

Equation for the nth term of a linear sequence

Un=a+(n-1)d where a=1st term and d=difference

Equation for the sum of the first n terms for a linear sequence

Sn = n/2 (2a+(n-1)d)

Equation for the sum of the first n terms of a geometric sequence

Sn= (a((r^n)-1))/(r-1)

Equation for the nth term of a geometric sequence

Un = ar^(n-1)

Equation for the nth term of a quadratic sequence

Un=an^2 + bn + c where c is the 0th term and a is the 2nd difference/2

y=x^3

y= 1/x

y=k^x

sin(0°)

0

sin(30°)

1/2

sin(45°)

1/√2

sin(60°)

√3/2

sin(90°)

1

cos(0°)

1

cos(30°)

√3/2

cos(45°)

1/√2

cos(60°)

1/2

cos(90°)

0

tan(0°)

0

tan(30°)

1/√3

tan(45°)

1

tan(60°)

√3

tan(90°)

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