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Hey there...Are you looking for that mathematical formula and you don't want to go through that big old math book?? well as we always say we are here to help you in any way... Here are a bunch of formulas we have picked up and organized for you.. the formulas range from Algebra formulas via Trigonometry and Geometry to Pre-Calculus formulas.. isn't that great??!?!.. anyway enough said and let's get to Business..

 

ALGEBRA

 

 

Exponents

 

 

 

For any Real Numbers, a,b,c

 

Graphs

For the slope of a line(m, sometimes known as gradient) passing through any 2 points (X1,Y1), (X2,Y2) is given by

It is important to know that the slope of Horizontal lines are 0,

and the slopes of vertical lines are infinate(undefined)

 

 

Logarithms

Another way of writing ay = x is logax = y.

loga MN = loga M + loga N

loga M = loga M - loga N

N

loga Mp = p.loga M

 

Matrix

The determinant of a matrix 2 by 2

is ad-bc.


For any 2 simultaneous equation(an equation with 2 unknowns)

where a1,b1,c1,a2,b2,c2, are constants, and x and y are the unknown variables,

 

Polynomials

(x+y)2 = x2 + 2xy + y2

(x-y)2 = x2 - 2xy + y2

x2-y2 = (x + y)(x - y)

x3+y3 = (x + y)(x2 - 2xy + y2)

x3-y3 = (x - y)(x2 + 2xy + y2)

 

 

 

Pythagorean's Theorem

The square of the hyp(h) of a right angle triangle is always equal to the sum of the square of the other 2 sides (a & b).

h2 = a2 + b2

 

The Quadratic Formula

Radicals

 

For any radical,

 

 

Trigonometry

 

 

 

 

Identities

 

There are certain relations between functions which are true for all values of the angle. These relations are called Identities.

Taken a given angle � in a given triangle,

 

sin2 � + cos2 � =1  

 

tan2 � + 1 = sec2 �

 

cot2 � + 1 = cosec2 �  

 

Sine Rule

The sine rule states that for any 3 angles of a triangle, A ,B &C with 3 sides a, b & c...

 

 

Cosine Rule

 

The sine rule states that for any 3 angles of a triangle, A ,B &C with 3 sides a, b & c...

a2 = b2 + c2 - 2bc cosA

b2 = a2 + c2 - 2ac cosB

c2 = a2 + b2 - 2ab cosC

 

Area Of Triangle

The area of the Triangle below is given by...

(This Triangle also applies to previous formulas)

 

 

Circles

The area of a circle is given by J r2 where..

r = Radius of circle and

J = Pi . 3.14

The Circumference (length around circle) of a circle is given by 2J r

 

Sector

The Area of a sector of a circle is...

 

Geometry

The Distance Between 2 points, point A with co-ordinates of (x1,y1) and point B with co-ordinates of (x2,y2) is given by

and the mid point between these 2 points is given by

The Simple Gradient(or slope) of the line between these 2 points is given by

The Geometric Gradient(or slope) of A certain line, is the tangent of the angle formed between the line and the positive x axis for example the gradient of this line is...

tan� .

 

The Slope-intercept form of the equation of a line is of the formu

y = mx +c

 

The Angle between 2 lines is given by...

 

 

Perpendicular Lines.. The product of the slopes of perpendicular line, are always = -1..in other words,

m1m2=-1

or

m1 = -1/m2