Trigonometric Functions

The functions (also called the circular functions) comprising trigonometry: the cosecant cscx, cosine cosx, cotangent cotx, secant secx, sine sinx, and tangent tanx. However, other notations are sometimes used, as summarized in the following table.

f(x)alternate notations
cotxctnx (Erdélyi et al. 1981, p. 7), ctgx (Gradshteyn and Ryzhik 2000, p. xxix)
cscxcosecx (Gradshteyn and Ryzhik 2000, p. xxvii)
tanxtgx (Gradshteyn and Ryzhik 2000, p. xxix)

The inverses of these functions (the inverse trigonometric functions) are denoted csc^(-1)x, cos^(-1)x, cot^(-1)x, sec^(-1)x, sin^(-1)x, and tan^(-1)x. Note that the f^(-1) notation here means inverse function, not f to the -1 power.

See also

Double-Angle Formulas, Half-Angle Formulas, Hyperbolic Functions, Inverse Trigonometric Functions, Trigonometry Angles, Trigonometry, Unit Circle

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Erdélyi, A.; Magnus, W.; Oberhettinger, F.; and Tricomi, F. G. Higher Transcendental Functions, Vol. 1. New York: Krieger, p. 6, 1981.Feynman, R. P. "A Different Set of Tools." In 'Surely You're Joking, Mr. Feynman!': Adventures of a Curious Character. New York: W. W. Norton, 1997.Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, 2000.

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Trigonometric Functions

Cite this as:

Weisstein, Eric W. "Trigonometric Functions." From MathWorld--A Wolfram Web Resource.

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