Secant-cubed function: Difference between revisions
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==Definition== | ==Definition== | ||
The function, denoted <math>\sec^3</math>, is defined as the [[defining ingredient::composite of two functions|composite]] of the [[defining ingredient::cube function]] and the [[defining ingredient::secant function]] (which in turn is the composite of the [[reciprocal function]] and the cosine function). Explicitly, it is given as: | The function, denoted <math>\sec^3</math>, is defined as the [[defining ingredient::composite of two functions|composite]] of the [[defining ingredient::cube function]] and the [[defining ingredient::secant function]] (which in turn is the composite of the [[reciprocal function]] and the [[cosine function]]). Explicitly, it is given as: | ||
<math>x \mapsto (\sec x)^3 = \frac{1}{(\cos x)^3}</math> | <math>x \mapsto (\sec x)^3 = \frac{1}{(\cos x)^3}</math> | ||
Revision as of 12:27, 28 August 2011
This article is about a particular function from a subset of the real numbers to the real numbers. Information about the function, including its domain, range, and key data relating to graphing, differentiation, and integration, is presented in the article.
View a complete list of particular functions on this wiki
For functions involving angles (trigonometric functions, inverse trigonometric functions, etc.) we follow the convention that all angles are measured in radians. Thus, for instance, the angle of is measured as .
Definition
The function, denoted , is defined as the composite of the cube function and the secant function (which in turn is the composite of the reciprocal function and the cosine function). Explicitly, it is given as:
