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Safae001
@Safae001
May 2019
1
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Salut ! s'il vous plait qlq un peut me montrer comment résoudre cet exercice
montrer que si a+b=pi
alors cos a + cos b =0
MERCI D'AVANCE <3
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MathsUnPeuCa
Verified answer
Cela est basé sur les formules de trigonométrie notamment celle qui dit que :
cos(pi - x) = - cos(x)
En effet, si a + b = pi alors b = pi - a et donc :
cos(a) + cos(b) = cos(a) +
cos(pi - a)
= cos(a) +
(-cos(a))
= cos(a) - cos(a)
= 0
2 votes
Thanks 1
safae001
merci bcp <3
MathsUnPeuCa
De rien^^
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Lista de comentários
Verified answer
Cela est basé sur les formules de trigonométrie notamment celle qui dit que :cos(pi - x) = - cos(x)
En effet, si a + b = pi alors b = pi - a et donc :
cos(a) + cos(b) = cos(a) + cos(pi - a)
= cos(a) + (-cos(a))
= cos(a) - cos(a)
= 0