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Antwoorden - Moderne wiskunde - wiskunde B - VWO 5 - H8 - Goniometrische functies $3.25   Add to cart

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Antwoorden - Moderne wiskunde - wiskunde B - VWO 5 - H8 - Goniometrische functies

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Antwoorden - Moderne wiskunde - wiskunde B - 5 VWO - H8 - Goniometrische functies

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  • June 22, 2020
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  • 2019/2020
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22 juni 2020




Hoofdstuk 8: Goniometrische functies

V-1 graden 0 30 45 60 90 120 135 150 180
1 1 1 1 2 3 5
radialen 0 6 4 3 2 3 4 6


1,5
y
V-2 1

a.
b. x   , x 0, x  , x 2 en x 3 0,5


x

c. f ( x ) 1 voor x  21  en x 2 21  - -0,5  0,5   1,5  2 2,5  3




d. f ( x )  1 voor x  21  en x 1 21  -0,5




e. De periode is 21 2
-1



-1,5
1,5
y

V-3 1 g ( x ) cos(2 x )
a.
x  34  , x  41  , x  14  en x  34 
0,5

b. x

c. g ( x ) 1 voor x   , x 0 en x  - -0,5  0,5  




g ( x )  1 voor x  21  en x  21 
-0,5

d.
-1

e. De periode is 22 
-1,5




V-4
a. f(x) is symmetrisch in de lijn x  21 
b. g(x) is symmetrisch in de y-as
c. f(x) is puntsymmetrisch in ( , 0)
d. g(x) is puntsymmetrisch in ( 21  , 0) en symmetrisch in de lijn x 
e. g(x) is puntsymmetrisch in ( 21  , 0)
f. f(x) is puntsymmetrisch in ( , 0)

V-5
a. sin(1 41  )  1
2 2 d. cos(  1 32  )  21 g. sin(  1 61  )  12
b. cos( 32  )  1
2 e. sin( 56  )  21 h. sin(1 34  )  1
2 2
c. sin(  31  )  1
2 3 f. cos(1 61  )  1
2 3

V-6 4
y 5 y

a. g(x) ontstaat uit de 3 g(x) 4

grafiek van f(x) door een 2
m(x)
h(x) 3

lijnvermenigvuldiging toe 1
2

te passen t.o.v. de x-as -  1
x
met factor 3. f(x)
-1

- 
-2
-1
x
n(x) k(x)
De grafiek van h(x) -3
-2


ontstaat door op f(x) een -4




lijnvermenigvuldiging toe te passen t.o.v. de y-as met factor 31 .
b. De grafiek van m(x) ontstaat uit die van k(x) door de grafiek van k(x) 2 omhoog te
verschuiven. Als je de grafiek van k(x) 2 naar links verschuift, krijg je de grafiek van
n(x).

1
Uitwerkingen 5 vwo wiskunde B, hoofdstuk 8

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