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Samenvatting Wiskunde 1ste jaar BMLT $6.91   Add to cart

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Samenvatting Wiskunde 1ste jaar BMLT

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Samenvatting Wiskunde 1ste jaar Biomedische Laboratoriumtechnologie (BMLT). Docent Annelien Sercu. Hoofdstukken goniometrie, vergelijkingen en stelsels van vergelijkingen, lineaire functies, exponentiële en logaritmische functies en vergelijkingen, limieten, afgeleiden en integralen.

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  • February 3, 2023
  • 23
  • 2020/2021
  • Summary
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GONIOMETRIE

ALGEMEEN

cos ❑


sin


sin❑ 1 tan α . cotanα =1
tan¿ tan¿
cos ❑ cot❑


1 cos❑ 1
cot ¿ =¿ ¿ cot ¿
tan sin❑ tan❑


1
sec¿
cos ❑


1
csc=
sin ❑




FORMULES

sin 2 +cos 2=1 sin 2 =1−cos 2
2 2
cos =1−sin

2
1
sec 2 α = 2
=1+tan (cos 2 α ≠0 ¿
cos α

2
1
csc 2 α = 2
=1+cot (sin 2 α ≠ 0 ¿
sin α


tan α
sin α =±
√1+ tan2 α

1
cos α=±
√1+ tan2 α

,MERKWAARDIGE PRODUCTEN




GONIOMETRISCHE GETALLEN

, VERWANTE HOEKEN


1) GELIJKE HOEKEN 1) TEGENGESTELDE HOEKEN


sin ( α )=¿ sin ( α +360 ° ) sin (−α )=¿ −sin ( α )


cos ( α )=¿ cos ( α +360 ° ) cos (−α ) =¿ cos ( α )


tan ( α )=¿ tan ( α +360 ° ) tan (−α ) =¿ −tan ( α )


cot ( α )=¿ cot ( α +360 ° ) cot (−α )=¿ −cot ( α )




2) SUPPLEMENTAIRE HOEKEN 2) COMPLEMENTAIRE HOEKEN


sin ( 180 °−α )=¿ sin ( α ) sin ( 90 °−α )=¿ cos ( α )


cos ( 180 °−α ) =¿ −cos ( α ) cos ( 90°−α )=¿ sin ( α )


tan ( 180 °−α ) =¿ −tan ( α ) tan ( 90°−α )=¿ cot ( α )


cot ( 180 °−α )=¿ −cot ( α ) cot ( 90 °−α ) =¿ tan ( α )




5) ANTISUPPLEMENTAIRE HOEKEN 6) ANTICOMPLEMENTAIRE HOEKEN


sin ( 180 °−α )=¿ −sin ( α ) sin ( 90 ° +α )=¿ cos ( α )


cos ( 180 °−α ) =¿ −cos ( α ) cos ( 90°+ α )=¿ −sin ( α )


tan ( 180 °−α ) =¿ tan ( α ) tan ( 90°+ α )=¿ −cot ( α )


cot ( 180 °−α )=¿ cot ( α ) cot ( 90 °+α )=¿ −tan ( α )

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