Retrouver le réel x qui vérifie cos(x)=a - 2nde - Exercice Mathématiques

Quelle est la solution de l'équation \cos\left(x\right) = \dfrac{\sqrt{2}}{2} sur \left[ 0,\pi\right] ?

S =\left\{ \dfrac{\pi}{4} \right\}

S =\left\{ \dfrac{\pi}{2} \right\}

S =\left\{ \dfrac{\pi}{3} \right\}

S =\left\{- \dfrac{\pi}{4} \right\}

Quelle est la solution de l'équation \cos\left(x\right) = -\dfrac{1}{2} sur \left[ 0,\pi\right] ?

S =\left\{ \dfrac{2\pi}{3} \right\}

S =\left\{- \dfrac{2\pi}{3} \right\}

S =\left\{ \dfrac{4\pi}{3} \right\}

S =\left\{ \dfrac{\pi}{3} \right\}

Quelle est la solution de l'équation \cos\left(x\right) = \dfrac{\sqrt{3}}{2} sur \left[ -\dfrac{\pi}{2},\dfrac{\pi}{2}\right] ?

S =\left\{ -\dfrac{\pi}{6},\dfrac{\pi}{6} \right\}

S =\left\{ -\dfrac{\pi}{3},\dfrac{\pi}{3} \right\}

S =\left\{ -\dfrac{5\pi}{6},\dfrac{5\pi}{6} \right\}

S =\left\{ -\dfrac{\pi}{4},\dfrac{\pi}{4} \right\}

Quelle est la solution de l'équation \cos\left(x\right) = -\dfrac{\sqrt{2}}{2} sur \left[0,\dfrac{3\pi}{2}\right] ?

S =\left\{\dfrac{3\pi}{4},\dfrac{5\pi}{4} \right\}

S =\left\{\dfrac{3\pi}{2},\dfrac{5\pi}{2} \right\}

S =\left\{-\dfrac{3\pi}{4},\dfrac{5\pi}{4} \right\}

S =\left\{-\dfrac{\pi}{3},-\dfrac{5\pi}{6} \right\}

Quelle est la solution de l'équation \cos\left(x\right) = -\dfrac{\sqrt{3}}{2} sur \left[ \dfrac{\pi}{2},\pi\right] ?

S =\left\{ \dfrac{5\pi}{6} \right\}

S =\left\{ -\dfrac{5\pi}{6} \right\}

S =\left\{ \dfrac{\pi}{6} \right\}

S =\left\{ -\dfrac{\pi}{6} \right\}

Quelle est la solution de l'équation \cos\left(x\right) = \dfrac{1}{2} sur \left[ -\dfrac{\pi}{2},\pi\right] ?

S =\left\{ -\dfrac{\pi}{3},\dfrac{\pi}{3} \right\}

S =\left\{ -\dfrac{\pi}{4},\dfrac{\pi}{4} \right\}

S =\left\{ -\dfrac{\pi}{6},\dfrac{\pi}{6} \right\}

S =\left\{ -\dfrac{\pi}{2},\dfrac{\pi}{2} \right\}

Quelle est la solution de l'équation \cos\left(x\right) = -\dfrac{\sqrt{2}}{2} sur \left[ \dfrac{\pi}{2},\dfrac{3\pi}{2}\right] ?

S =\left\{\dfrac{3\pi}{4},\dfrac{5\pi}{4} \right\}

S =\left\{\dfrac{3\pi}{2},\dfrac{5\pi}{2} \right\}

S =\left\{-\dfrac{3\pi}{4},\dfrac{5\pi}{4} \right\}

S =\left\{\dfrac{3\pi}{4},\dfrac{7\pi}{4} \right\}