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Résoudre dans R les équations suivantes : 1) (x - (pi)/(3)) = 0

Mathematics

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Exercice 2:
Résoudre dans R\mathbb{R} les équations suivantes.

  1. cos⁡(x−π3)=0\cos\left(x - \frac{\pi}{3}\right) = 0

Step 1: L'équation cos⁡(θ)=0\cos(\theta) = 0 a pour solutions θ=π2+kπ\theta = \frac{\pi}{2} + k\pi, où k∈Zk \in \mathbb{Z}.

Step 2: Substituer θ=x−π3\theta = x - \frac{\pi}{3}.

x−π3=π2+kπx - \frac{\pi}{3} = \frac{\pi}{2} + k\pi

Step 3: Isoler xx.

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