Exam (elaborations)
Goniometrie oefentoets + uitwerkingen
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Oefentoets inclusief uitwerkingendocument van wiskunde H7 Goniometrie. De oefentoets gaat over de stof uit het derde leerjaar havo/vwo van de middelbare school.
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Hoofdstuk 7 Goniometrie oefentoets antwoorden1 a
Het hellingsgetal is .
b
De hellingshoek is 18°
2 a
cos ∠F = dus DF = 11 × cos 60° = 5,5
b
tan ∠I = dus ∠I =
31°
c
sin ∠Q = dus PQ = = 305,80
3 a Je moet de sinus gebruiken:
sin 34° × 1,5 ≈ 0,839
Het muurtje is dus 84 cm hoog.
b
Je moet de sinus gebruiken:
dus de hoek is 25°.
c AC = AD – CD
tan ∠A = dus
tan ∠C = dus
AC = AD – CD = 1,80 – 1,25 = 0,55
De afstand tussen beide planken is 55 cm.
4 a tan ∠C = dus ∠C = 37°
b dus GE = ≈ 11,34
c
dus DE = 12,51
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