Abstract
This chapter discusses the analytic trigonometry. Much of the language and terminology of algebra carries over to trigonometry. For example, algebraic expressions involve variables, constants, and algebraic operations. Trigonometric expressions involve these same elements but also permit trigonometric functions of variables and constants. They also allow algebraic operations upon these trigonometric functions. The distinction between an identity and an equation also carries over to trigonometry. The fundamental identities can be employed to prove or, more properly, to verify various trigonometric identities. There are also times in calculus and applied mathematics when simplification of a trigonometric expression may enable one to see a relationship that would otherwise be obscured. In computer applications, it is much more efficient to evaluate a simple trigonometric expression than an involved one.
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