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hayat90
@hayat90
May 2022
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4 sin2 x − 2 (1 + √3) sin x + √3 = 0.
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croisierfamily
Réponse : l' équation proposée admet la Solution = { 30° ; 60° ; 120° ; 150° }Explications étape par étape :■ 4 sin²x - 2(1+√3)sinx + √3 = 0 donne ( en divisant par 4 ) : sin²x - 0,5(1+√3)sinx + 0,25√3 = 0■ discriminant Δ = 0,25(1+√3)² - √3 = 0,25(1+2√3 +3) - √3 = 0,25(4+2√3) -√3 = 1 + 0,5√3 - √3 = 1 - 0,5√3 ≈ 0,134 ≈ 0,366²■ Solutions : sinx ≈ 0,25(1+√3) - 0,366/2 = 0,5 l' autre solution est sinx ≈ 0,866 ■ conclusion : l' équation proposée admet x = 30° ou x = 60° ou x = 120° ou x = 150° .
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hayat90
Bonsoir, pouvez vous m'aider à resoudre ces exercices de maths sur le meme theme s'il vous plait (je ne vous embeterez plus après, promis ;)
https://nosdevoirs.fr/devoir/4495653
https://nosdevoirs.fr/devoir/4495654
Merci d'avance !
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https://nosdevoirs.fr/devoir/4495653
https://nosdevoirs.fr/devoir/4495654
Merci d'avance !