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- Trigonometric_functions abstract "In mathematics, the trigonometric functions (also called the circular functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.The most familiar trigonometric functions are the sine, cosine, and tangent. In the context of the standard unit circle with radius 1 unit, where a triangle is formed by a ray originating at the origin and making some angle with the x-axis, the sine of the angle gives the length of the y-component (the opposite to the angle or the rise) of the triangle, the cosine gives the length of the x-component (the adjacent of the angle or the run), and the tangent function gives the slope (y-component divided by the x-component). More precise definitions are detailed below. Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle. More modern definitions express them as infinite series or as solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers.Trigonometric functions have a wide range of uses including computing unknown lengths and angles in triangles (often right triangles). In this use, trigonometric functions are used, for instance, in navigation, engineering, and physics. A common use in elementary physics is resolving a vector into Cartesian coordinates. The sine and cosine functions are also commonly used to model periodic function phenomena such as sound and light waves, the position and velocity of harmonic oscillators, sunlight intensity and day length, and average temperature variations through the year.In modern usage, there are six basic trigonometric functions, tabulated here with equations that relate them to one another. Especially with the last four, these relations are often taken as the definitions of those functions, but one can define them equally well geometrically, or by other means, and then derive these relations.".
- Trigonometric_functions thumbnail Academ_Base_of_trigonometry.svg?width=300.
- Trigonometric_functions wikiPageExternalLink glab.trixon.se.
- Trigonometric_functions wikiPageExternalLink Tangent.html.
- Trigonometric_functions wikiPageExternalLink Trigonometric_functions.html.
- Trigonometric_functions wikiPageExternalLink Madhava.html.
- Trigonometric_functions wikiPageExternalLink Ch9_3.html.
- Trigonometric_functions wikiPageExternalLink trig.
- Trigonometric_functions wikiPageExternalLink maor.
- Trigonometric_functions wikiPageExternalLink vca.
- Trigonometric_functions wikiPageExternalLink vca-preface.pdf.
- Trigonometric_functions wikiPageExternalLink module_viewer.php?mid=131&l=&c3=.
- Trigonometric_functions wikiPageID "30367".
- Trigonometric_functions wikiPageRevisionID "605928062".
- Trigonometric_functions hasPhotoCollection Trigonometric_functions.
- Trigonometric_functions id "p/t094210".
- Trigonometric_functions title "Trigonometric functions".
- Trigonometric_functions subject Category:Analytic_functions.
- Trigonometric_functions subject Category:Elementary_special_functions.
- Trigonometric_functions subject Category:Trigonometry.
- Trigonometric_functions type Abstraction100002137.
- Trigonometric_functions type AnalyticFunctions.
- Trigonometric_functions type ElementarySpecialFunctions.
- Trigonometric_functions type Function113783816.
- Trigonometric_functions type MathematicalRelation113783581.
- Trigonometric_functions type Relation100031921.
- Trigonometric_functions comment "In mathematics, the trigonometric functions (also called the circular functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.The most familiar trigonometric functions are the sine, cosine, and tangent.".
- Trigonometric_functions label "Fonction trigonométrique".
- Trigonometric_functions label "Función trigonométrica".
- Trigonometric_functions label "Funkcje trygonometryczne".
- Trigonometric_functions label "Funzione trigonometrica".
- Trigonometric_functions label "Função trigonométrica".
- Trigonometric_functions label "Goniometrische functie".
- Trigonometric_functions label "Trigonometric functions".
- Trigonometric_functions label "Trigonometrische Funktion".
- Trigonometric_functions label "Тригонометрические функции".
- Trigonometric_functions label "دوال مثلثية".
- Trigonometric_functions label "三角函数".
- Trigonometric_functions label "三角関数".
- Trigonometric_functions sameAs Goniometrická_funkce.
- Trigonometric_functions sameAs Trigonometrische_Funktion.
- Trigonometric_functions sameAs Τριγωνομετρική_συνάρτηση.
- Trigonometric_functions sameAs Función_trigonométrica.
- Trigonometric_functions sameAs Fonction_trigonométrique.
- Trigonometric_functions sameAs Fungsi_trigonometrik.
- Trigonometric_functions sameAs Funzione_trigonometrica.
- Trigonometric_functions sameAs 三角関数.
- Trigonometric_functions sameAs 삼각함수.
- Trigonometric_functions sameAs Goniometrische_functie.
- Trigonometric_functions sameAs Funkcje_trygonometryczne.
- Trigonometric_functions sameAs Função_trigonométrica.
- Trigonometric_functions sameAs m.011bsls_.
- Trigonometric_functions sameAs Q93344.
- Trigonometric_functions sameAs Q93344.
- Trigonometric_functions sameAs Trigonometric_functions.
- Trigonometric_functions wasDerivedFrom Trigonometric_functions?oldid=605928062.
- Trigonometric_functions depiction Academ_Base_of_trigonometry.svg.
- Trigonometric_functions isPrimaryTopicOf Trigonometric_functions.