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Adrien17450
@Adrien17450
January 2021
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Bonjour, un des exercices de mon DM de mathématiques me pose d'énormes problèmes... Je ne sais pas comment commencer sur cet exercice 87...
Si une personne a une solution ou un début de solution a proposer je suis preneur...
Merci !
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scoladan
Verified answer
Bonjour,
a) Vs = 0,6VÊ
==> 0,6VÊ = VÊ/pi (1 + cos(a))
<=> 0,6 = 1/pi (1 + cos(a))
<=> 0,6pi = 1 + cos(a)
<=> 0,6pi - 1 = cos(a)
==> a = cos^-1 (0,6pi - 1) = 0,48... radians arrondi à 0,5
b) Vs = 0,1VÊ
==> a = cos^-1(0,1pi -1) = 2,3 rad à 0,1 près
c) Vs = 0,9VÊ
==> a = cos^-1(0,9pi-1) = n'existe pas car (0,9pi-1) = 1,8... > 1
et un cos est nécessairement compris entre -1 et 1.
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Verified answer
Bonjour,a) Vs = 0,6VÊ
==> 0,6VÊ = VÊ/pi (1 + cos(a))
<=> 0,6 = 1/pi (1 + cos(a))
<=> 0,6pi = 1 + cos(a)
<=> 0,6pi - 1 = cos(a)
==> a = cos^-1 (0,6pi - 1) = 0,48... radians arrondi à 0,5
b) Vs = 0,1VÊ
==> a = cos^-1(0,1pi -1) = 2,3 rad à 0,1 près
c) Vs = 0,9VÊ
==> a = cos^-1(0,9pi-1) = n'existe pas car (0,9pi-1) = 1,8... > 1
et un cos est nécessairement compris entre -1 et 1.