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Pauls Online Math Notes

Pauls Online Math Notes
Cheat Sheets and Tables Here is list of cheat sheets and tables that I've written. Most of these are pdf files and so you will need the Adobe Viewer to view them. You can download the latest version here. Algebra Cheat Sheet - [pdf] - This is as many common algebra facts, properties, formulas, and functions that I could think of. There is also a page of common algebra errors included.

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Math Functions - TI-Basic Developer Calculators are built with one primary purpose: math. Programming, game playing, and everything else is secondary. Thus, you will find a number of powerful math commands. Although it may seem that they are of no use to a programmer, programs sometimes need math functions, and many math functions can be used in clever ways. Tutoring Resources This Web page contains reference materials for my WyzAnt students. My name is Harold and I have tutored hundreds of students in math, science and engineering over the past 25 years. I worked in the BYU Math Lab to pay my way through college where I earned a Master of Science degree in Electrical and Computer Engineering with a minor in mathematics.

Trigonometric and Geometric Conversions, Sin(A + B), Sin(A - B), Sin(AB) Ratios for sum angles As the examples showed, sometimes we need angles other than 0, 30, 45, 60, and 90 degrees. In this chapter you need to learn two things: 1. Sin(A + B) is not equal to sin A + sin B. Bradshaw-Handouts The following files are the handouts used by the Ohlone College Math Department. They are available in printed form from the Math Learning Center in Hyman Hall. Trigonometry This gives a summary of the formulas used in Trigonometry. This includes the unit circle, the ranges of the inverse trig functions and information about graphing. Precalculus

Dave's Short Trig Course Table of Contents Who should take this course? Trigonometry for you Your background How to learn trigonometry Applications of trigonometry Astronomy and geography Engineering and physics Mathematics and its applications What is trigonometry? Trigonometry as computational geometry Angle measurement and tables Background on geometry The Pythagorean theorem An explanation of the Pythagorean theorem Similar triangles Angle measurement The concept of angle Radians and arc length Exercises, hints, and answers About digits of accuracy Chords What is a chord? Ptolemy’s sum and difference formulas Ptolemy’s theorem The sum formula for sines The other sum and difference formulas Summary of trigonometric formulas Formulas for arcs and sectors of circles Formulas for right triangles Formulas for oblique triangles Formulas for areas of triangles Summary of trigonometric identities More important identities Less important identities Truly obscure identities

Online tools - maths online One of many scientific calculators on the web. It accepts brackets, functions like sin, cos, tan, exp, log, sqrt, pow, asin, acos, atan, gamma, the constants E und PI. On the calculator's web page you find a detailed description. In a cooperation between the author and maths online in the beginning of 2000, the calculator's functionality has been extended. Lesson The Amazing Unit Circle: Trigonometric Identities The unit circle definition of the trigonometric functions provides a lot of information The trigonometric functions sine and cosine are defined in terms of the coordinates of points lying on the unit circle x2 + y2 = 1. Start by constructing the ray from the origin at angle θ (measured counter-clockwise from the positive x-axis).

Math Scene - Functions 2 - Lesson 6 - Inverse functions Lesson 6 Inverse functions We have already seen some functions that are the inverse of each other. The functions f(x) = x2 and g(x) = √x are the inverse of each other if we limit the x values to non - negative numbers. These functions cancel each other out in the sense that if we apply first one function and then the other to a number then it's as if nothing has happened, the number is the same as it was to begin with. Look at the following example: A MAGIC Hexagon The three functions on the left are, historically, the three principal trigonometric functions. The three on the right, all beginning with the syllable CO, are related to the ones on their left. Cosine is short for "COmplimentary sine, and reveals one of the relations in the hexagon. For any two angles, A and B, that add up to 90 degrees, a left side function of A will equal the right side function of B. To put that more clearly, look at the following examples : Sin(40) = Cosine (50)

Area and Volume by Keith Enevoldsen Have you memorized some of the area and volume formulas, like A = πr2, without understanding the explanation for the formulas? This is an attempt to explain all the basic area and volume formulas as simply and intuitively as possible, starting with the easy ones and building up to the more difficult formulas for the area and volume of a sphere. Areas of Plane Figures Rectangles and Parallelograms Area of a rectangle or parallelogram with base b and height h is bh. Trig without Tears: Contents Summary: Faced with the large number of trigonometric identities, students tend to try to memorize them all. That way lies disaster. When you memorize a formula by rote, you have no way to know whether you’re remembering it correctly.

Pre-calculus OLD, 2nd Quarter Another thing we want to do with the rational functions is to apply the transformations we learned in Unit 04. We just applied these to the polynomials, so they should be fairly fresh in your mind. But just as a reminder.