January 2021 0 40 Report
Bonjour,je dois démontrer que pour tout réel x , on a :
{sin x+cos x )^2 + (sin x- cos x)^2 = 2
1 Voir la réponse taalbabachir taalbabachir

(sin x + cos x)² + (sin x - cos x)² = 2

sin²x + 2sin x cos x + cos²x + sin² x - 2sin x cos x + cos² x = 2

(sin² x + cos² x) + (sin² x + cos² x²) = 1 + 1 = 2 

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