


Help: Trigonometric and hyperbolic functionsHere is a complete list of trigonometric and hyperbolic functions accepted by QuickMath. The tables show the usual form in which the functions appear in textbooks, along with the form accepted by QuickMath. In most cases, the QuickMath version is identical to the textbook version. If there is a function missing which you would like see added to those supported by QuickMath, just send your suggestion to contact form.
THE TRIGONOMETRIC FUNCTIONSThe wrapping function can be used to define the six trigonometric (or
circular) functions. These functions are referred lo as the sine, cosine,
tangent, cotangent. secant, and cosecant functions, and are designated by the
symbols sin, cos, tan, cot, sec, and csc, respectively. If t is a real
number, then the real number which the sine function associates with twill be
denoted by either sin (t) or sin t. and similarly for the other five functions.
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Before considering additional functional values, we shall discuss several
important relationships which exist among the trigonometric functions. The
formulas listed below. in (2.2), are without doubt the most important identities
in trigonometry, because they may be used to simplify and unify many different
aspects of the subject. Since the formulas are true for every allowable value
oft, and are part of the foundation for work in trigonometry, they are called
the Fundamental Identities. Every student should carefully memorize (2.2) before
proceeding to the next section of this text.
Let us first list all the fundamental identities and then discuss the proofs. The formulas to follow are true for all values of t in the domains of the indicated functions. The fundamental identities 