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Solving Eq & Ineq
Graphs & Func.
Systems of Eq.
Polynomials
Frac. Express.
Powers & Roots
Complex Numbers
Quadratic Eq.
Quadratic Func.
Coord. Geo.
Exp. & Log. Func.
Probability
Matrices
Trigonometry
Trig. Identities
Equations & Tri.
On this page we ...
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© CopyrightDedicationTable of ContentsPrefaceChapter IIndexPDF Version
Complex Numbers and Trigonometry
Third Edition
by
Abraham P. Hillman
University Of New MexicoGerald L. Alexanderson
Santa Clara UniversityMervin E. Newton
Thiel College
INTERACTIVE VERSION
The Original Edition of this text is still available.
This text has been placed on the WWW as a public service by the Department of Mathematics and Computer Science of Thiel College. It presents an innovative introduction ...
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Frequently Asked Questions About Trigonometry
This tutorial is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License. Back to Dave’s home page
Q: What is trigonometry?
A: Trigonometry is the study of how the sides and angles of a triangle are related to each other.
Q: WHAT? That’s all?
A: Yes, that’s all. It’s all about triangles, and you can’t get much simpler than that.
Q: You mean trigonometry isn’t some big, ugly monster that makes students turn green, ...
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Library Dictionary
Author List Search
Abbott, Edwin
Adams, John Quincy
Aesop
Alcott, Louisa May
Andersen, Hans Christian
Anderson, Sherwood
Appleton, Victor
Aristotle
Austen, Jane
Bacon, Sir Francis
de Balzac, Honore
Barrie, James Matthew
Baum, L. Frank
Bierce, Ambrose
Bronte, Anne
Bronte, Charlotte
Bronte, Emily
Burnett, Frances Hodgson
Burroughs, Edgar Rice
Carroll, Lewis
Casson, Herbert N.
Cather, Willa
Cervantes, Miguel
Chesterton, Gilbert K.
Chopin, Kate ...
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Grade Twelve Problems
1)
The population of a certain species in the wild varies according to a sine curve over a period of 10 years. Using the diagram, determine at what time the population will be at a minimum in the 10 year period.
Need A Hint?
Answer
2)
A right triangle in the first quadrant is bounded by lines y = 0, y = x, and y = -x+5. Find its area.
Need A Hint?
Answer
3)
A cone is formed with an arc length AB equal to 20 cm. As the cone is ...
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June 10, 2006
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Practical Information for Healthy Living
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Java + Calculus
Some Java applets for experimenting with graphs of functions, and notions like limits, tangents, derivatives, arc length, and area.
Graph
An applet for experimenting with graphs of cubic polynomials. Can easily be modified to graph anything. Source code
Length
An applet for experimenting with the arc length of graph of a cubic polynomial. Can easily be modified for other curves.
Area
An applet for experimenting the area under the graph of a cubic polynomial. Can easily be modified for other curves.
Home | Math Dept | Search | Links | old home page
Last modified by jac at 13:56 on 12/21/1997.
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Trigonometry
Trigonometry involves the relationships between the sides and angles of right-angled triangles.
Functions
H = hypotenuse (always opposite the right-angle)
O = opposite (opposite the angle theta)
A = adjacent (next to the angle theta)
sine(theta) = O cosine(theta) = A tangent(theta) = O
--- --- ---
H H A
cosecant(theta) = 1/sine(theta)
secant(theta) = 1/cosine(theta)
cotangent(theta) = 1/tangent(theta)
Ide ...
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Pi and the Fibonacci Numbers
Surprisingly, there are several formulae that use the Fibonacci numbers to compute Pi ().
Here's a brief introduction from scratch to all that you need to know to appreciate these formulae.
Contents of this page
The icon means there is a Things to do investigation at the end of the section.
How Pi is calculated
Measuring the steepness of a hill
The tangent of an angle
The arctan function
Gregory's Formula for arctan(t)
Radian measure
Gregory's ser ...
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Problems using Pythagoras' Theorem and Trigonometry
Your Problem:
Answer:
J.R.Wordsworth
Last modified:
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Mini Quiz
Trigonometry Graphing
Determine characteristics of graphs of trigonometry functions based upon given equations.
Tools
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This activity was created by a Quia Web subscriber. To learn how to make your own, just like this, click here.
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TRIGONOMETRY
Angle Measures
Trigonometric Functions
The magic identity
The Addition Formulas
Double-Angle a ...
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Links
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Home
Index Spherical Trigonometry
One of the primary concerns in astronomy throughout history was the positioning of the heavenly bodies, for which spherical trigonometry was required. The diagrams below show trihedrals, polyhedra with triangular sides. For astronomy, V is the position of the observer, and PQR are points on a sphere centred at V, the celestial sphere.
From 2 dimensional trigonometric relations the upper diagram gives:
PS = QP sin B = ...
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Trigonometric Functions
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Elementary Functions
Exp & Log
Trigonometric
Complex Forms
Plot of Trigonometric
Trigonometric Relations
Series Expansions
Sum & Difference
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Plot of Inverse Trig.
Inverse Trig. Relations
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Resources
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Free Magazines
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The trigonometric functions
Analysis index History Topics Index
Version for printing
The use of trigonometric functions arises from the early connection between mathematics and astronomy. Early work with spherical triangles was as important as plane triangles.
The first work on trigonometric functions related to chords of a circle. Given a circle of fixed radius, 60 units were often used in early calculations, then the problem was to find the length of the chord subtended by a ...
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Trigonometric Integrals
This is an html'ized Maple worksheet, which was used for a Calculus class meeting (as an alternative to transparencies). The original worksheets had the Maple code interspersed in a tiny font and were distributed over the local AppleTalk network, so that students could execute the commands if they wanted. Unfortunately, these pages will not be useable from text-based browsers [Lynx].
Permission to copy and use this document is granted, provided that the author is notified and the source acknowledged. Copyright 1994, David Hart
Next [Beginning]
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Trigonometry Calculator Enter Number Below. Return Tangent:
Enter Number Below. Return Sine:
Enter Number Below. Return Cosine:
Enter Number Below. Return Atan:
Netscape users - It is not neccessary to close window for multiple calculations.
New returns will be placed in the same window (minimized).
If you are using Explorer you will have to close window for each calculation.
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Trigonometry
Angles
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Degrees, Minutes, Seconds
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Convertion of Radians and Degrees
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Trigonometric Functions Using Coordinate Systems
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Waves
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Inverse Trigonometric Functions and their Graphs
More Trigonometric Identities
The Addition Formulas
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Half-Angle Formulas
Oblique Triangles
Law of Sines
Law of Cosines
The Area of a Triangle
Vectors
Addition of Vectors
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Head-Tail Method
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Trigonometry Realms
Mathematics Waves Simple Harmonic Motion
ContentsIndex Home
When you understand this animated diagram,
Oh, no! Know Java.
You shall understand the sin(x).
Overview
Quick view of definitions and graphs of trigonometric functions.
Introduction
Detailed explanation relating the basic trigonometric functions to the right triangle.
Multiple choice problems concerning introductory trigonometry.
Common Angles in a Circle
Values in degrees and radians for ...
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Trigonometry: A Crash Review
Search Now:
Unfortunately, for much of this subject, there is no substitute for brute memorization. This course is often used as pre-calculus. "Algebra masters" will have a much smaller memorization load than other students. [I mean College Algebra, not the higher-math version.] Much of this subject is highly dependent on either calculators+ or tables [slide rules have been passé since the electronic calculat ...
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Seth's Home Page - Seth's Links Page - Seth's Search Page - Somewhere Else Visual Trigonometry:
The Sohcahtoa Applet, by Seth Hill
What is this?
This Java applet demonstrates is the relative lengths of the 6 trigonometric functions.
Angle A (black line) is a central angle on the unit circle (radius: 1 unit), bouncing from 0° to 90° in increments of 1°.
The values of the six trig functions are represented by the lengths of the colored lines, and their decimal approximations are displayed in ...
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