Introduction to Trigonometry: Trigonometry is math that studies the triangle and the relationships between the lengths of their sides and the angles between those sides. Angles can be in degrees or radians. Pi radians = 180 degrees, or 1 radian = (180 degrees/pi) and 1 degree = (pi/180 degrees) radians. Trigonometric equations are equations consisting of trigonometric functions. Also included are Math lessons with answers, Advanced math, Math calculator, and Math help
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Trigonometry - General problems &solutions

Trigonometric Identities
In mathematics, an "identity" is an equation which is always true. These can be "trivially" true, like "x = x" or usefully true, such as the Pythagorean Theorem's "a2 + b2 = c2" for right triangles. There are loads of trigonometric identities, but the following are the ones you're most likely to see and use.
Trigonometric functions
Sin, Cos, Tan, Sec, Csc, Cot, Periodic Functions, Evaluation of Trigonometric functions
S.O.S. Math - Trigonometry       Screenshots
Covers measuring degrees, equations, and formulas. Includes illustrations and related links
Free Trigonometry Tutorials and Problems    (screenshots)
Free tutorials and problems on solving trigonometric equations, trigonometric identities and formulas can also be found
Trigonometry Tutorial       Screenshots
The classical concept of trigonometry deals with the relationships between the angles and sides of triangles
Free Tutorials on Trigonometry
You Tube video tutorials on trigonometry; Basic Trigonometry, Special Angles, Addition and Subtraction Formulas, Law of Cosines, Law of Sines, Half Angle Formula, Double Angle Formula, Graphing Sine and Cosine
Trig Functions
The functions are usually abbreviated: sine (sin), cosine (cos), tangent (tan) cosecant (csc), secant (sec), and cotangent (cot). Inverse Functions are usually abbreviated: sin-1, cos-1, tan-1 arccsc-1, arcsec-1, and arccot-1.
Topics in Mathematics - Trigonometry
Tutorial, Angles and Triangles, Similar Triangles, Parallelograms, Polar Form, Negative of a Point, Subtraction, Conjugate, The Real and Imaginary Axes; Rectangular Form, Trigonometric Functions, Inverse Trigonometric Functions, Laws of Sines and Cosines
TRIGONOMETRY - University of Guelph
During this tutorial you will be asked to perform calculations involving trigonometric functiions. You will need a calulator to proceed
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Trigonometry
Definitions and basics, Related values, supplementary values, complementary values, Opposite values, Anti-supplementary values, right-angled triangle, Sine rule, Cosine rule, Special values, Solving Triangles, Trigonometric functions, Inverse Trigonometric Functions
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If you are doing math and don't have a TI Programmable Calculator, you are at a disadvantage
Texas Instruments TI-83 Plus Graphing Calculator; 64 H x 96mm W Screen

Trigonometric Functions

Trigonometric Functions       Screenshots
In this chapter we start by explaining the basic trigonometric functions using degrees (?), and in the later part of the chapter we will learn about radians and how they are used in trigonometry
Trigonometric Functions       Screenshots
There are a few angles for which all trigonometric functions may be found using the triangles shown in the following
Webtrig
Trigonometry identities and functions
Trigonometric Functions       Screenshots
Arbitrary angles and the unit circle. We've used the unit circle to define the trigonometric functions for acute angles so far. We'll need more than acute angles in the next section where we'll look at oblique triangles
Trigonometric Functions       Screenshots
One of the easier ways to start understanding trigonometric functions is by picturing a right triangle. (Refer back to the triangles section to recall this.) Let theta be one of the acute angles. Then we will label the triangle as follows:
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Trigonometric Equations

Solving Trigonometric Equations    (screenshots)
This sections illustrates the process of solving trigonometricequations of various forms. It also shows you how to check your answer three different ways: algebraically, graphically, and using the concept of equivalence
Solving Trigonometric Equations
A trigonometric equation is one that involves one or more of the six functions sine, cosine, tangent, cotangent, secant, and cosecant. Some trigonometric equations, like x = cos x, can be solved only numerically
Using the Graphing Calculator in math - Table of Contents   (screenshots)
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Review: Solving Trig Equations
In this section we will take a look at solving trig equations. Let?s just jump into the examples and see how to solve trig equations
Trigonometry Equations Formulas Calculator
Trigonometry calculator solving for cosine cos given angle in radians or degrees
Solving Trigonometric Equations
You can use the TI-82 to solve trigonometric equations by graphing each side of the equation sa a function and then locating the points of intersection
Solving Trigonometric Equations
Equations involving the trigonometric functions may be solved using any of the usual equation solving techniques such as factoring, quadratic formula, or graphing calculator
Trigonometric Equations    (screenshots)
Using the table or graphs above and some algebra, solve the following equations for values between 0o and 360o
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Solving Trigonometric Equations
Let's look at two possible solution methods. The first method will work ONLY with Radians. The second method will work with Degrees and then convert back to Radians for the final answer
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Henderson State University - math programs written for the TI-83/84 Calculator - Trigonometry/PreCalculus - College Algebra/PreCalculus
Online Math Calculators and Solvers
Easy to use online math calculators and solvers for various topics. These may be used to check homework solutions, practice and exploring with various values
Solve Trigonometric Equations
Tutorial, with detailled explanations, on how to solve trigonometric equations using different methods and strategies and the properties of trigonometric functions and identities
Basic Trigonometric Equations:
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Sine & Cosine

Sine-Cosine-Tangent
There are many complex parts to trigonometry and we aren't going there. We are going to limit ourselves to the very basics which are used in the study of airplanes
Sine, Cosine, and Tangent    (screenshots)
We can also find the measure of the angle ? when we know any of these three trigonometric ratios. Using a TI-83 calculator, we can determine what angle has this tangent
Sine, Cosine and Tangent    (screenshots)
Sine, Cosine and Tangent are all based on a Right-Angled Triangle. Before getting stuck into the functions, it helps to give a name to each side of a right triangle:
Sine, Cosine, and Tangent
In a right-angled triangle, the size of any angle is related to the ratio of the lengths of any two sides by the trigonometric functions. The basic functions are sine, cosine, and tangent
 

Pythagorean Theorem

Pythagorean theorem
In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle)
Pythagorean Theorem
Many different proofs exist for this most fundamental of all geometric theorems. The theorem can also be generalized from a plane triangle to a trirectangular tetrahedron, in which case it is known as de Gua's theorem
The Pythagorean Theorem
Proof #1: The simplest proof is an algebraic proof using similar triangles ABC, CBX, and ACX (in the diagram):
Pythagorean Theorem - Univerdity of Georgia
The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. Pythagoras founded the Pythagorean School of Mathematics in Cortona, a Greek seaport in Southern Italy
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Trigonometry Law of Sines

Laws of Cosines and Sines
As usual, we'll use a standard notation for the angles and sides of a triangle. That means the side a is opposite the angle A, the side b is opposite the angle B, and the side c is opposite the angle C
Solving Triangles
A triangle has six parts, three sides and three angles. Given almost any three of them ? three sides, two sides and an angle, or one side and two angles ? you can find the other three values. This is called solving the triangle, and you can do it with any triangle, not just a right triangle. If you've got the Law of Sines and the Law of Cosines under your belt, .... This is a TI-83/84 program to solve all types of triangles
The Law of Sines   (screenshots)
We use the Law of Sines and the Law of Cosines to solve triangles that are not right-angled. Such triangles are called oblique or scalene triangles
The Law of Cosines
We use the Law of Cosines to solve triangles that are not right-angled. In particular, when we know two sides of a triangle and their included angle, then the Law of Cosines enables us to find the third side
math programs for the TI-83, and TI-84 calculators.
Find Triangle Sides and Angles (using Law of Cosines and Law of Sines)
 

Trigonometric Identities

List of trigonometric identities
In mathematics, trigonometric identities are equalities that involve trigonometric functions that are true for every single value of the occurring variables
Summary of trigonometric identities
You have seen quite a few trigonometric identities in the past few pages. It is convenient to have a summary of them for reference. These identities mostly refer to one angle denoted t, but there are a few of them involving two angles, and for those, the other angle is denoted s..
Trig Identities   (screenshots)
Identities involving trig functions are listed below
Table of Trigonometric Identities   (screenshots)
Reciprocal identities, Pythagorean Identities, Quotient Identities, Co-Function Identities, Even-Odd Identities, Sum-Difference Formulas, Double Angle Formulas, Power-Reducing/Half Angle Formulas, Sum-to-Product Formulas, Product-to-Sum Formulas
Trigonometric Identities
Free math lessons and math homework help from basic math to algebra, geometry and beyond
Trigonometric Identities
An Idenity is an Equality that is true for any value of the variable
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Looking for trig help? Check out a few links to trig lessons we have available here:
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Math Calculators

RedCrab Calculator      (screenshots)     RedCrab Manual
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The scientific calculator with full screen formula editor. The calculator's editor supports the entry of complex algebraic equations like fractions, square roots, exponents, and trigonometry problems, etc. for technical and scientific applications
Free Online Scientific Calculater
Scientific calculator is an easy to use calculater that you can use to do your algebra and trigonometry homework. Use this for quick problems solving
GraphCalc    (Screenshots)    (Examples)
GraphCalc The Ultimate Windows 2D/3D Graphing Calculator Software. GraphCalc includes many of the standard features of graphing calculators, but also includes some higher-end features: High resolution; Speed; Three-dimensional graphing
GraphCalc Forum     iPhone app ? GraphCalc
Free Math Help.com
Welcome to FreeMathHelp.com. We have many math help resources available, including math lessons, math games, and a math help message board
Smart Math Calculator   (screenshots)     (Examples)
You may download free calculator and install it on your machine all free of charge. This is the best calculator software available for free download
Graph  (screenshots)
Graph is an open source application used to draw mathematical graphs in a coordinate system. It is also possible to do some mathematical calculations on the functions
Graph Forum
Precise Calculator   (screenshots)
Precise Calculator has arbitrary precision. It knows all usual mathematical functions, trigonometric functions, statistical functions, vectors, matrices, complex numbers, fractions. It is programmable (if, goto, print, return, = )
Trigonometry Calculator
Trigonometry calculator solves for all 6 trigonometric functions and for all 6 trigonometric arcfunctions
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Perform mathematical computations with complex numbers, trig functions, matrices, function plotting, unit conversions
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Free Trigonometry eBooks

Trigonometry
A text on elementary trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but a more geometrical approach is taken than usual. Also, some numerical methods are discussed
Plane and Spherical Trigonometry
A trigonometry textbook that treats the solution of triangles quite fully and elaborates analytical trigonometry. It covers angles, trigonometric functions, inverse functions, trigonometric equations and identities, triangles, spherical trigonometry
CK-12 Trigonometry
A comprehensive book on trigonometry. From the table of contents: Trigonometry and Right Angles; Circular Functions; Trigonometric Identities; Inverse Functions and Trigonometric Equations; Triangles and Vectors; Polar Equations and Complex Numbers
Elementary Trigonometry
In this book the trigonometrical ratios are introduced as functions of the angle. The trigonometrical properties of the single angle are treated fully in the early chapters, and the examples apply Trigonometry wherever it may be useful
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Clep Study Guides

College Algebra
Free University Project - The CLEP Exam in Algebra is similar to a one semester course taught at many colleges.
Mathematics
Free University Project -The College Mathematics CLEP is very broad in scope. It is similar to a one year survey course taught at many colleges
Precalculus CLEP Free Study Guide
The Precalculus CLEP replaced the old College Algebra-Trigonometry CLEP as well as the full-fledged Trigonometry CLEP.
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Trigonometry
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Wikibooks has a book on Trigonometric identity
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Reference: TI-83/84 Calculator

Algebra Using the TI-83 Plus / TI-84 Plus Online Course - Texas Instruments Education Technology
No charge for the course. It is now FREE. ? No time limit. There is now an unlimited time for completing the course. ? No user name and password required. Just click on the course outline then click on the lesson that you would like to take
Using the TI-83 Calculator
This tutorial is designed with the student in mind. The topics selected are those that students will use in college algebra, college trigonometry, and freshman calculus
Trigonometric Functions
A TI-83 and a TI-84 have keys for three trigonometric functions: sine, cosine, and tangent. You will have to use a ratio to graph cosecant, secant, and cotangent
TI-83/83+/84+ Programs
Draw angles, calculate trig values. unitcirc.zip, Unit Circle/Trig Function Demonstration
Teacher Learning System
The Teacher Learning System for the TI-83 graphing calculator (TI-83 TLS) has been developed to assist the secondary mathematics teacher with learning about this technology
TI-83/84 Tutorial by TOPIC
TI-83/84 Calculator - Statistical Tests, Confidence Intervals, Probabilities, Working with Univariate Data, Working With Bivariate Data, Solving Equations/Inequalities, Advanced Graphing Features
Statistics with the TI-83 Plus
Statistics with the TI-83 Plus - Working with Lists, Descriptive Statistics, Probability Distribution Functions, Inferential Statistics, Confidence Interval, Hypothesis Test, One-Way Anova, Chi-Square
15 Graphical Calculator Tutorials - TI-83/84
Basic Algebraic Operations, Geometry, Functions and Graphs, The Trigonometric Functions, Systems of Linear Equations, Factoring and Fractions, Quadratic Equations, Vectors and Oblique Triangles, Exponents and Radicals, Introduction to Statistics
TI-83 Calculator Emulator
A step by step process for downloading a TI Emulator. An emulator is basicly the computer version of a TI 83 Calculator. It works just like the calculator but from your computer screen
Using Your TI-83/84 calculator in Math
Instructions on how to use the calculator (use the emulator as the calculator)
TI-83/84/89/92 Procedures and Help
This page points you to step-by-step procedures for several tasks on the TI-83; some procedures also show steps for the TI-89. (Keystrokes for all current models of TI-83 and TI-84 are nearly identical
Using the Graphing Calculator
graphing calculator tutorial, using the graphing calculator in secondary mathematics, Algebra, Geometry, Trigonomentry, PreCalclulus, Calculus
TI-83/84 Plus Basic Math Programs (Trigonometry)
It also shows the area and perimeter and allows you to visualize the information graphically. This is the best Trigonometry Program ever seen on a TI-83
TI-83/84 Calculator Tips for Statistics
Descriptive Statistics, Normal Probibility, Binomial Probibility, Confidence Intervals, Hypothesis Test, Linear Regression and Correlation
Graphing Calculator Help
TI calculator basic commands listed A - Z with kaystrokes (TI-82, 83, 84, 85, 86, 89, 92) (HP-48) (Sharp EL9600) (Casio FX2)
Basic TI-84 Plus Tutorial
Math Teacher Link is a web-based professional development program for mathematics teachers at the 9 - 14 grade levels. It provides short courses in the areas of Algebra, Geometry, Calculus, and Statistics
Using the TI-83/84 Calculator
This tutorial is designed with the student in mind. The topics selected are those that students will use in college algebra, college trigonometry, and freshman calculus
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Texas Instruments TI-83 Plus Graphing Calculator; 64 H x 96mm W Screen
 
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