Summary
GETAL & RUIMTE Wiskunde A VWO - hoofdstuk 14 samenvatting
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- Level
Een samenvatting van hoofdstuk 14, GETAL & RUIMTE Wiskunde A VWO deel 4. De theorieën die wordt getoetst op het eindexamen (2022) is behandeld.
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Formule
Onthouden/ belangrijk
Stappenplan
Uitleg
GR
Symbolen
* Voorbeeld v invoer GR
- Verschillende punten (opsomming)
1. Stap van een stappenplan
a) Meerdere opties bij een punt in het stappenplan
1a) Stap van een stappenplan in uitwerking
Rekenregels machten
Formule: xp ∙ xq = xp+q
!!
Formule: !" = xp-q
$ $
Formule: (xp)q = xpq x√x = x1 ∙ x # = x##
"
!
Formule: √x " = x !
$
#
Formule: √x# = x #
$
Formule: x ! = x-p
$
Formule: x % = x-3
LET OP! Alles kan ook andersom!
, Wiskunde – hoofdstuk 14 overzicht
§14.1 Sinusoïden
• Theorie A: de grafiek van y = sin(x)
Vier kenmerken
- Evenwichtsstand (y=0)
- Amplitude (1)
- Periode (2𝜋)
- Beginpunt (0,0)
Werken met sin(x) à radialen
- Menu 1
- Shift + set up
- Angle à rad
• Theorie B & C: sinuisoïden
𝑦 = 𝑎 + 𝑏 sin(𝑐(𝑥 − 𝑑))
𝑎 = evenwichtsstand
𝑏 = amplitude
$% $%
𝑐 = periode à &'()*+' = 𝑐 en dus ook: -
= periode
𝑑 = 𝑥 − coördinaat beginpunt
a/b/c/d
1
𝑦 = 3 + 4 sin(2 H𝑥 − J)
2
§14.2 Toepassingen van sinusoïden
• Theorie A: een formule van sinusoïde opstellen
dal + berg
𝑎=
2
𝑏 = berg - 𝑎
$% $%
𝑐 = &'()*+' à - = periode
𝑑 = waar de grafiek stijgend door de evenwichtsstand gaat
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