This page contains a collection of hyperlinks to web resources in various college level subjects with an emphasis on math, science, engineering, and technology
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.
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.
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
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
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.
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.
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.
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..
