Trigonometry. Taken from: Precalculus: Functions and Graphs

by Mark Dugopolski

Placed in binder after purchase. In great shape besides use from study.

Genres: Textbooks

Ring-bound

First published January 1, 2002

Reviews

[Bhakta Kishor]

Trigonometry is most simply associated with planar right-angle triangles (each of which is a two-dimensional triangle with one angle equal to 90 degrees). The applicability to non-right-angle triangles exists, but, since any non-right-angle triangle (on a flat plane) can be bisected to create two right-angle triangles, most problems can be reduced to calculations on right-angle triangles. Thus the majority of applications relate to right-angle triangles. One exception to this is spherical trigonometry, the study of triangles on spheres, surfaces of constant positive curvature, in elliptic geometry (a fundamental part of astronomy and navigation). Trigonometry on surfaces of negative curvature is part of hyperbolic geometry. Trigonometry basics are often taught in schools, either as a separate course or as a part of a precalculus course.

нιѕтory
The 3rd-century astronomers first noted that the lengths of the sides of a right-angle triangle and the angles between those sides have fixed relationships: that is, if at least the length of one side and the value of one angle is known, then all other angles and lengths can be determined algorithmically. These calculations soon came to be defined as the trigonometric functions and today are pervasive in both pure and applied mathematics: fundamental methods of analysis such as the Fourier transform, for example, or the wave equation, use trigonometric functions to understand cyclical phenomena across many applications in fields as diverse as physics, mechanical and electrical engineering, music and acoustics, astronomy, ecology, and biology. Trigonometry is also the foundation of surveying.

тнeory

Note: This may seem you boring

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[Booklist54321]

This book is a complete coverage of triangles, and how to use arithmetic, algebra, and geometry to find exact information about the size of the triangle, angles, lengths, and heights. Numerous types of triangles, pre-solved equations, and applications of triangle math are included.