Analysis I. Und Lineare Algebra Für Ingenieurswissenschaften
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27. Vl Ana1LinA elementare Funktionen 3
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Course
Analysis I. Und Lineare Algebra Für Ingenieurswissenschaften
Institution
Technische Universität Berlin (TU Berlin)
Dies ist eine vollständige Vorlesungsmitschrift zur 27. Vorlesung des Moduls Analysis I und lineare Algebra für Ingenieurswissenschaften. In dieser Vorlesung werden weitere elementare Funktionen vorgestellt. Dabei werden trigonometrische Funktionen, Umkehrfunktionen der trigonometrischen Funktion...
Analysis I. Und Lineare Algebra Für Ingenieurswissenschaften
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Trigonometrische Funktionen
in
E EE E EE
e
EE EEEEEiEI.EE
e cos g t i sing Eaberformel
cosx
E.tk II
sin
Ein Ei
Eigenschaften die sich leicht aus der Darstellung ablesen lassen
cos o 1 sin101 0
cosC x cos x sinEx sin G
et cos x t i sin t
los ti sin x los x isin x eit.e ix eix ix.co 1
it
e cos sin
Kost is in T cos x sin x E
Additionstheoreme
eilatbl cos.la
tisinla eilatbl
eia.eib lcas a t isin a los b tisin b
ti
atbtcosacosb sinasin
ii iu.j o
äEEE i EI
I cos x tis in ei
EI cos leit e it
I cos x is in E
EE sin x Eleit Ex
cos x te cos TEE sin sich cos
sinkt a sin TEE cos TEE sin
, tan x Sj Ean E periodisch tankte EauG
Ean D IR DER
Etwa KEI
1
cost
not D IR DER
GEILER
Cas
Eaux
oszz.EE etI
1 fan x
t
E
Clan 1tfan x
t
E
Arcus Funktion
aresin arcos und arakan sind die Umkehrfunktionen von sin cositan in einem
eingeschränkten Definitionsbereich
sin E E 1,1 bijektiv
IE E sine aresin El EE
E arcsent
f HEFTI
c e
E CFEEE.EE II.EE
für EE E cost o
E cos E Jt
fresin x F für 1 x 1
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