Razlika između inačica stranice »Adicijska formula«
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| + | == Engleski == | ||
{{WMW | {{WMW | ||
|Struna_ID=31293 | |Struna_ID=31293 | ||
|naziv=trigonometric addition formulas | |naziv=trigonometric addition formulas | ||
|klasifikacija=Geometry > Trigonometry > Trigonometric Identities > | |klasifikacija=Geometry > Trigonometry > Trigonometric Identities > | ||
| − | |definicija=Angle addition formulas express trigonometric functions of sums of angles alpha | + | |definicija=''Angle addition formulas'' express ''trigonometric functions<!--trigonometric function-->'' of ''sums<!--sum--> of ''angles<!--angle--> $\alpha\pm \beta$ in terms of functions of $\alpha$ and $\beta$. |
|cite=Weisstein, Eric W. "Trigonometric Addition Formulas." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/TrigonometricAdditionFormulas.html | |cite=Weisstein, Eric W. "Trigonometric Addition Formulas." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/TrigonometricAdditionFormulas.html | ||
| − | |napomena=The fundamental formulas of angle addition in trigonometry are given by | + | |napomena=The fundamental formulas of ''angle addition'' in ''trigonometry'' are given by |
$\sin(\alpha + \beta) = \sin \alpha cos \beta + \sin \beta \cos \alpha$ | $\sin(\alpha + \beta) = \sin \alpha cos \beta + \sin \beta \cos \alpha$ | ||
$\sin(\alpha - \beta) = \sin \alpha cos \beta - \sin \beta \cos \alpha$ | $\sin(\alpha - \beta) = \sin \alpha cos \beta - \sin \beta \cos \alpha$ | ||
DOPUNITI!!! | DOPUNITI!!! | ||
|see_also=Double-Angle Formulas, Half-Angle Formulas, Harmonic Addition Theorem, Multiple-Angle Formulas, Prosthaphaeresis Formulas, Trigonometry Angles, Trigonometry, Werner Formulas}} | |see_also=Double-Angle Formulas, Half-Angle Formulas, Harmonic Addition Theorem, Multiple-Angle Formulas, Prosthaphaeresis Formulas, Trigonometry Angles, Trigonometry, Werner Formulas}} | ||
Inačica od 11:35, 27. siječnja 2015.
Definicija: formula koja povezuje vrijednost trigonometrijske funkcije zbroja s vrijednostima trigonometrijskih funkcija pojedinih pribrojnika
Napomena: Postoji više primjera adicijskih formula, a jedna je od njih je \(\cos (x+y)=\cos (x)\cos (y)-\sin (x)\sin (y)\).
Engleske istovrijednice: addition formula
Struna ID: 31293
Obrađivač: Ivica Gusić
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Engleski
WMW naziv: trigonometric addition formulas
WMW klasifikacija: Geometry > Trigonometry > Trigonometric Identities >
WMW definicija: Angle addition formulas express trigonometric functions of sums of angles \(\alpha\pm \beta\) in terms of functions of \(\alpha\) and \(\beta\).
WMW napomena: The fundamental formulas of angle addition in trigonometry are given by \(\sin(\alpha + \beta) = \sin \alpha cos \beta + \sin \beta \cos \alpha\) \(\sin(\alpha - \beta) = \sin \alpha cos \beta - \sin \beta \cos \alpha\) DOPUNITI!!!
WMW See also: Double-Angle Formulas, Half-Angle Formulas, Harmonic Addition Theorem, Multiple-Angle Formulas, Prosthaphaeresis Formulas, Trigonometry Angles, Trigonometry, Werner Formulas
Izvor: Weisstein, Eric W. "Trigonometric Addition Formulas." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/TrigonometricAdditionFormulas.html
Struna ID: 31293