Barnes A. Encyclopedia of Trigonometry

Global Media, 2007. — 140 p.Trigonometery is the study of triangles. Tri is Ancient Greek word for three, gon means side, metry measurement together they make measuring three sides. If you know some facts about a triangle, such as the lengths of it sides, then using trigonometry you can find out other facts about that triangle its area, its angles, its center, the size of the largest circle that can be drawn inside it. As a consequence the Ancient Greeks were able to use trigonometry to calculate the distance from the Earth to the Moon. Trigonometry starts by examining a particularly simplified triangle the right angle triangle. More complex triangles can be built by joining right-angle triangles together. More complex shapes, such as squares, hexagons, circles and ellipses can be constructed from two or more triangles. Ultimately, the universe we live in, can be mapped through the use of triangles.
Trigonometry is an important, fundamental step in your mathematical education. From the seemingly simple shape, the right triangle, we gain tools and insight that help us in further practical as well as theoretical endeavors. The subtle mathematical relationships between the right triangle, the circle, the sine wave, and the exponential curve can only be fully understood with a firm basis in trigonometry.
Trigonometry is a system of mathematics, based generally on circles and triangles, that is used to solve complex problems (again, mainly involving circles and triangles). Extensions of various algebraic formulas, namely the Pythagorean Theorem, are utilized.In Simple Terms
Radian and Degree Measure
Trigonometric Angular Functions
Right Angle Trigonometry
Properties of the Cosine and Sine Functions
Taylor Series Approximations for the Trig. Functions
Inverse Trigonometric Functions
Applications and Models
Verifying Trigonometric Identities
Solving Trigonometric Equations
Sum and Difference Formulas
Additional Topics in Trigonometry
Solving Triangles
Vectors in the Plane
Trigonometric Identities
History of Trigonometry
Common Formulae
Exact Trigonometric Constants
Pythagorean Theorem