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Algebra Functions

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Closure Property of Addition

Sum (or difference) of 2 real numbers equals a real number

 

Mon Feb 14 2005
Views: 89


Conic Sections

By changing the angle and location of intersection, we can produce a circle, ellipse, parabola or hyperbola; or in the special case when the plane touches the vertex: a point, line or 2 intersecting lines.

 

Mon Feb 14 2005
Views: 99


Conic Sections

For any of the above with a center at (j, k) instead of (0,0), replace each x term with (x-j) and each y term with (y-k) to get the desired equation.

 

Mon Feb 21 2005
Views: 91


Cosine: Definition

Given any angle q (0 £ q £ 90°), we can find the cosine of that angle by constructing a right triangle with one vertex of angle q. The cosine is equal to the length of the side adjacent to q, divided by the length of the triangle's hypotenuse. In this way, we can find the cosine of any q in the range 0 £ q £ 90°.

 

Mon Feb 21 2005
Views: 103


Cosine: Derivative

(cos(x)) = -sin(x)

 

Mon Feb 21 2005
Views: 82


Cosine: Expansions

= 1 - (1/2!)x2 + (1/4!)x4 - (1/6!)x6

 

Mon Feb 21 2005
Views: 94


Cosine: Integral

cos(x) dx = -sin(x) + C

 

Mon Feb 21 2005
Views: 81


Cosine: Overview

The cosine (abbreviated "cos") is a type of trigonometric function.

 

Mon Feb 21 2005
Views: 84


Cosine: Properties

The cosine function has a number of properties that result from it being periodic and even. Most of these should not be memorized by the reader; yet, the reader should be able to instantly derive them from an understanding of the function's characteristics.

 

Mon Feb 21 2005
Views: 64


Difference of squares

(a+b) 2 = a 2 + 2ab + b 2

 

Mon Feb 21 2005
Views: 65


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