This page contains a collection of hyperlinks to web resources in various college level subjects with an emphasis on math, science, engineering, and technology
If you would like to learn a bit about trigonometry, or brush up on it, then read on. These notes are more of an introduction and guide than a full course.
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
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.
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.
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:
This sections illustrates the process of solving trigonometric equations of various forms. It also shows you how to check your answer three different ways: algebraically, graphically, and using the concept of equivalence.
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.
MathBits.com is devoted to offering fun, yet challenging, lessons and activities in high school (and college level) mathematics and computer programming for students and teachers.
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
Equations involving the trigonometric functions may be solved using any of the usual equation solving
techniques such as factoring, quadratic formula, or graphing calculator.
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.
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.
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.
Tutorial, with detailled explanations, on how to solve trigonometric equations using different methods and strategies and the properties of trigonometric functions and identities.
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.
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 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:
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.
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).
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 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.
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.
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, .... I've written a TI-83/84 program to solve all types of triangles
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.
In mathematics, trigonometric identities are equalities that involve trigonometric functions that are true for every single value of the occurring variables.
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..
The scientific calculator with full screen formula editor. The calculator's editor supports the entry of complex algebraic equations like fractions, square roots, exponents, etc. for technical and scientific applications.
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
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.
This calculator can do everything! Besides the basic functions: add, subtract, multiply, and divide. It can take the reciprocal, cos, sin, and tan of a number, square root, and has special square and cube buttons. Also does any power of a number you want
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.
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.
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.
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.
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
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.
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.
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 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 - Working with Lists, Descriptive Statistics, Probability Distribution Functions, Inferential Statistics, Confidence Interval, Hypothesis Test, One-Way Anova, Chi-Square
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
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.
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.
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.
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
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.
