| Materie: | Appunti |
| Categoria: | Matematica |
Voto: | 1 (2) |
| Download: | 243 |
| Data: | 30.03.2006 |
| Numero di pagine: | 1 |
| Formato di file: | .doc (Microsoft Word) |
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Testo
COS (a-b) = COSa COSb + SENa SENb
SEN (a-b) = SENa COSb – SENb COSa
COS (a+b) = COSa COSb – SENa SENb
SEN (a+b) = SENa COSb + SENb COSa
SEN (2a) = 2SENa COSa
COS (2a) = COS2a – SEN2a =
= 1-2SEN2a = 2COS2a -1
COS2 (a/2) = (1+ COSa)/2
SEN2 (a/2) = (1- COSa)/2
CODOMINIO ARC COS = 0 ; Π
CODOMINIO ARC SEN = -Π/2 ; +Π/2
CODOMINIO ARC TG = -Π/2 ; +Π/2
METODO LINEARE Y= c(a/c SENx ± b/c COSx)
c= √a2 + b2
1. EQUAZIONI ELEMENTARI (SENx=c)
2. “ LINEARI (aSENx+COSx=c)
3. “ OMOGENEE (COS2x+SENx COSx-SEN2x=0)
4. DISEQUAZIONI ELEMENTARI (SENx>0)
5. “ LINEARI (SENx-COSx>0)
6. “ OMOGENEE (COS2x+SENx COSx-SEN2x>0)
SENβ = CΑT.OPPOSTO/IPOTENUSΑ
COSβ = CΑT.ΑDIΑCENTE/IPOTENUSΑ
TGβ = CΑT.OPPOSTO/CΑT.ΑDIΑCENTE
__
ΑΒ = 2R ∙ SENα
a/SENα = b/SENβ = c/SENγ = 2R
b2 = a2 + c2 – 2ac ∙ COSβ (CΑRNOT)
α rad α ° sen cos tg ctg
0 0 0 1 0 ND
Π/6 30 1/2 3/2 3/3 3
Π/4 45 /2/2 2/2 1 1
Π/3 60 /3/2 1/2 3 3/3
Π/2 90 1 0 ND 0
2/3Π 120 3/2 -1/2 - 3 - 3/3
3/4Π 135 2/2 - 2/2 -1 -1
5/6Π 150 1/2 - 3/2 - 3/3 - 3
Π 180 0 -1 0 ND
7/6Π 210 -1/2 - 3/2 3/3 3
5/4Π 225 - 2/2 - 2/2 1 1
4/3Π 240 - 3/2 -1/2 - 3 3/3
3/2Π 270 -1 0 ND 0
5/3Π 300 - 3/2 1/2 - 3 - 3/3
7/4Π 315 - 2/2 2/2 -1 -1
11/6Π 330 -1/2 3/2 - 3/3 - 3
2Π 360 0 1 0 ND
