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Recopier et compléter : 2(x) + 2(x) = ? et (pi - x) = ? et (pi/2 - x) = ? et (x + pi/2) = ?

Mathematics

ScanSolve AI Answer

Je vais compléter la question 3 de la section "Questions de cours" et ensuite passer à l'Exercice 1.

Question 3 : Recopier et compléter ce qui suit :

  • cos⁡2(x)+sin⁡2(x)=1\cos^2(x) + \sin^2(x) = \boxed{1}

  • Pour tout nombre réel xx on a :

    • cos⁡(x+π2)=−sin⁡(x)\cos\left(x + \frac{\pi}{2}\right) = \boxed{-\sin(x)}
    • sin⁡(π2−x)=cos⁡(x)\sin\left(\frac{\pi}{2} - x\right) = \boxed{\cos(x)}
    • cos⁡(π−x)=−cos⁡(x)\cos(\pi - x) = \boxed{-\cos(x)}
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