Quelle est la solution de l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) ? \(\displaystyle{\cos \left(4x\right) - \sin\left(2x\right) =0}\) \(\displaystyle{S = \left\{ \dfrac{\pi}{12}+k\dfrac{\pi}{3}; \dfrac{3\pi}{4}+k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{6}+k\dfrac{\pi}{3}; \dfrac{3\pi}{4}+k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{12}+k\dfrac{\pi}{3}; \dfrac{3\pi}{4}+2k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{3}+k\dfrac{\pi}{3}; \dfrac{3\pi}{4}+k\pi \right\}}\) Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(x-\dfrac{\pi}{3}\right)=\cos\left(\dfrac{\pi}{3}\right)}\) \(\displaystyle{S = \left\{\dfrac{\pi}{2}+k2\pi;\dfrac{7\pi}{6}+k2\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{\pi}{3}+k2\pi;\dfrac{7\pi}{6}+k2\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{\pi}{2}+k2\pi;\dfrac{\pi}{6}+k2\pi\right\}}\)\(\displaystyle{S = \left\{-\dfrac{\pi}{2}+k2\pi;\dfrac{7\pi}{6}+k2\pi\right\}}\) Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\cos\left(2x-1\right)=\sin\left(\dfrac{\pi}{4}\right)}\) \(\displaystyle{S = \left\{\dfrac{1}{2}-\dfrac{\pi}{8}+k\pi;\dfrac{1}{2}+\dfrac{\pi}{8}+k\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{1}{2}+\dfrac{\pi}{8}+2k\pi;-\dfrac{1}{2}+\dfrac{\pi}{8}+2k\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{1}{4}-\dfrac{\pi}{8}+k\pi;\dfrac{1}{4}+\dfrac{\pi}{8}+k\pi\right\}}\)\(\displaystyle{S = \left\{1-\dfrac{\pi}{8}+k\pi;1+\dfrac{\pi}{8}+k\pi\right\}}\) Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(x+2\right)- \cos \left(2x-1\right) = 0}\) \(\displaystyle{S = \left\{\dfrac{-1}{3}+\dfrac{\pi}{6}+k\dfrac{2\pi}{3};3+\dfrac{\pi}{2}+k2\pi\right\}}\)\(\displaystyle{S = \left\{-1+\dfrac{\pi}{3}+k\dfrac{2\pi}{3};1+\dfrac{\pi}{3}+k2\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{\pi}{6}+k\dfrac{2\pi}{3};\dfrac{\pi}{2}+k2\pi\right\}}\) Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(3x-\pi\right)= \cos \left(\dfrac{\pi}{3}\right)}\) \(\displaystyle{S = \left\{\dfrac{7\pi}{18}+k\dfrac{2\pi}{3};\dfrac{11\pi}{18}+k\dfrac{2\pi}{3},\right\}}\)\(\displaystyle{S = \left\{\dfrac{7\pi}{18}+k\dfrac{\pi}{3};\dfrac{11\pi}{18}+k\dfrac{\pi}{3},\right\}}\)\(\displaystyle{S = \left\{-\dfrac{7\pi}{18}+k\dfrac{2\pi}{3};\dfrac{11\pi}{18}+k\dfrac{2\pi}{3},\right\}}\)\(\displaystyle{S = \left\{\dfrac{7\pi}{18}+k\dfrac{2\pi}{3};-\dfrac{11\pi}{18}+k\dfrac{2\pi}{3},\right\}}\) Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(2x\right) =\cos \left(\dfrac{\pi}{6}\right)}\) \(\displaystyle{S = \left\{ \dfrac{\pi}{6}+k\pi; \dfrac{\pi}{3}+k\pi \right\}}\)\(\displaystyle{S = \left\{ -\dfrac{\pi}{6}+k\pi; \dfrac{\pi}{3}+k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{6}+k\pi; -\dfrac{\pi}{3}+2k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{6}+k\pi; \dfrac{\pi}{4}+k\pi \right\}}\)
Quelle est la solution de l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) ? \(\displaystyle{\cos \left(4x\right) - \sin\left(2x\right) =0}\) \(\displaystyle{S = \left\{ \dfrac{\pi}{12}+k\dfrac{\pi}{3}; \dfrac{3\pi}{4}+k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{6}+k\dfrac{\pi}{3}; \dfrac{3\pi}{4}+k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{12}+k\dfrac{\pi}{3}; \dfrac{3\pi}{4}+2k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{3}+k\dfrac{\pi}{3}; \dfrac{3\pi}{4}+k\pi \right\}}\)
Quelle est la solution de l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) ? \(\displaystyle{\cos \left(4x\right) - \sin\left(2x\right) =0}\) \(\displaystyle{S = \left\{ \dfrac{\pi}{12}+k\dfrac{\pi}{3}; \dfrac{3\pi}{4}+k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{6}+k\dfrac{\pi}{3}; \dfrac{3\pi}{4}+k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{12}+k\dfrac{\pi}{3}; \dfrac{3\pi}{4}+2k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{3}+k\dfrac{\pi}{3}; \dfrac{3\pi}{4}+k\pi \right\}}\)
Quelle est la solution de l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) ? \(\displaystyle{\cos \left(4x\right) - \sin\left(2x\right) =0}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(x-\dfrac{\pi}{3}\right)=\cos\left(\dfrac{\pi}{3}\right)}\) \(\displaystyle{S = \left\{\dfrac{\pi}{2}+k2\pi;\dfrac{7\pi}{6}+k2\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{\pi}{3}+k2\pi;\dfrac{7\pi}{6}+k2\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{\pi}{2}+k2\pi;\dfrac{\pi}{6}+k2\pi\right\}}\)\(\displaystyle{S = \left\{-\dfrac{\pi}{2}+k2\pi;\dfrac{7\pi}{6}+k2\pi\right\}}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(x-\dfrac{\pi}{3}\right)=\cos\left(\dfrac{\pi}{3}\right)}\) \(\displaystyle{S = \left\{\dfrac{\pi}{2}+k2\pi;\dfrac{7\pi}{6}+k2\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{\pi}{3}+k2\pi;\dfrac{7\pi}{6}+k2\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{\pi}{2}+k2\pi;\dfrac{\pi}{6}+k2\pi\right\}}\)\(\displaystyle{S = \left\{-\dfrac{\pi}{2}+k2\pi;\dfrac{7\pi}{6}+k2\pi\right\}}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(x-\dfrac{\pi}{3}\right)=\cos\left(\dfrac{\pi}{3}\right)}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\cos\left(2x-1\right)=\sin\left(\dfrac{\pi}{4}\right)}\) \(\displaystyle{S = \left\{\dfrac{1}{2}-\dfrac{\pi}{8}+k\pi;\dfrac{1}{2}+\dfrac{\pi}{8}+k\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{1}{2}+\dfrac{\pi}{8}+2k\pi;-\dfrac{1}{2}+\dfrac{\pi}{8}+2k\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{1}{4}-\dfrac{\pi}{8}+k\pi;\dfrac{1}{4}+\dfrac{\pi}{8}+k\pi\right\}}\)\(\displaystyle{S = \left\{1-\dfrac{\pi}{8}+k\pi;1+\dfrac{\pi}{8}+k\pi\right\}}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\cos\left(2x-1\right)=\sin\left(\dfrac{\pi}{4}\right)}\) \(\displaystyle{S = \left\{\dfrac{1}{2}-\dfrac{\pi}{8}+k\pi;\dfrac{1}{2}+\dfrac{\pi}{8}+k\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{1}{2}+\dfrac{\pi}{8}+2k\pi;-\dfrac{1}{2}+\dfrac{\pi}{8}+2k\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{1}{4}-\dfrac{\pi}{8}+k\pi;\dfrac{1}{4}+\dfrac{\pi}{8}+k\pi\right\}}\)\(\displaystyle{S = \left\{1-\dfrac{\pi}{8}+k\pi;1+\dfrac{\pi}{8}+k\pi\right\}}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\cos\left(2x-1\right)=\sin\left(\dfrac{\pi}{4}\right)}\)
\(\displaystyle{S = \left\{\dfrac{1}{2}-\dfrac{\pi}{8}+k\pi;\dfrac{1}{2}+\dfrac{\pi}{8}+k\pi\right\}}\)
\(\displaystyle{S = \left\{\dfrac{1}{2}+\dfrac{\pi}{8}+2k\pi;-\dfrac{1}{2}+\dfrac{\pi}{8}+2k\pi\right\}}\)
\(\displaystyle{S = \left\{\dfrac{1}{4}-\dfrac{\pi}{8}+k\pi;\dfrac{1}{4}+\dfrac{\pi}{8}+k\pi\right\}}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(x+2\right)- \cos \left(2x-1\right) = 0}\) \(\displaystyle{S = \left\{\dfrac{-1}{3}+\dfrac{\pi}{6}+k\dfrac{2\pi}{3};3+\dfrac{\pi}{2}+k2\pi\right\}}\)\(\displaystyle{S = \left\{-1+\dfrac{\pi}{3}+k\dfrac{2\pi}{3};1+\dfrac{\pi}{3}+k2\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{\pi}{6}+k\dfrac{2\pi}{3};\dfrac{\pi}{2}+k2\pi\right\}}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(x+2\right)- \cos \left(2x-1\right) = 0}\) \(\displaystyle{S = \left\{\dfrac{-1}{3}+\dfrac{\pi}{6}+k\dfrac{2\pi}{3};3+\dfrac{\pi}{2}+k2\pi\right\}}\)\(\displaystyle{S = \left\{-1+\dfrac{\pi}{3}+k\dfrac{2\pi}{3};1+\dfrac{\pi}{3}+k2\pi\right\}}\)\(\displaystyle{S = \left\{\dfrac{\pi}{6}+k\dfrac{2\pi}{3};\dfrac{\pi}{2}+k2\pi\right\}}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(x+2\right)- \cos \left(2x-1\right) = 0}\)
\(\displaystyle{S = \left\{\dfrac{-1}{3}+\dfrac{\pi}{6}+k\dfrac{2\pi}{3};3+\dfrac{\pi}{2}+k2\pi\right\}}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(3x-\pi\right)= \cos \left(\dfrac{\pi}{3}\right)}\) \(\displaystyle{S = \left\{\dfrac{7\pi}{18}+k\dfrac{2\pi}{3};\dfrac{11\pi}{18}+k\dfrac{2\pi}{3},\right\}}\)\(\displaystyle{S = \left\{\dfrac{7\pi}{18}+k\dfrac{\pi}{3};\dfrac{11\pi}{18}+k\dfrac{\pi}{3},\right\}}\)\(\displaystyle{S = \left\{-\dfrac{7\pi}{18}+k\dfrac{2\pi}{3};\dfrac{11\pi}{18}+k\dfrac{2\pi}{3},\right\}}\)\(\displaystyle{S = \left\{\dfrac{7\pi}{18}+k\dfrac{2\pi}{3};-\dfrac{11\pi}{18}+k\dfrac{2\pi}{3},\right\}}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(3x-\pi\right)= \cos \left(\dfrac{\pi}{3}\right)}\) \(\displaystyle{S = \left\{\dfrac{7\pi}{18}+k\dfrac{2\pi}{3};\dfrac{11\pi}{18}+k\dfrac{2\pi}{3},\right\}}\)\(\displaystyle{S = \left\{\dfrac{7\pi}{18}+k\dfrac{\pi}{3};\dfrac{11\pi}{18}+k\dfrac{\pi}{3},\right\}}\)\(\displaystyle{S = \left\{-\dfrac{7\pi}{18}+k\dfrac{2\pi}{3};\dfrac{11\pi}{18}+k\dfrac{2\pi}{3},\right\}}\)\(\displaystyle{S = \left\{\dfrac{7\pi}{18}+k\dfrac{2\pi}{3};-\dfrac{11\pi}{18}+k\dfrac{2\pi}{3},\right\}}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(3x-\pi\right)= \cos \left(\dfrac{\pi}{3}\right)}\)
\(\displaystyle{S = \left\{\dfrac{7\pi}{18}+k\dfrac{2\pi}{3};\dfrac{11\pi}{18}+k\dfrac{2\pi}{3},\right\}}\)
\(\displaystyle{S = \left\{\dfrac{7\pi}{18}+k\dfrac{\pi}{3};\dfrac{11\pi}{18}+k\dfrac{\pi}{3},\right\}}\)
\(\displaystyle{S = \left\{-\dfrac{7\pi}{18}+k\dfrac{2\pi}{3};\dfrac{11\pi}{18}+k\dfrac{2\pi}{3},\right\}}\)
\(\displaystyle{S = \left\{\dfrac{7\pi}{18}+k\dfrac{2\pi}{3};-\dfrac{11\pi}{18}+k\dfrac{2\pi}{3},\right\}}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(2x\right) =\cos \left(\dfrac{\pi}{6}\right)}\) \(\displaystyle{S = \left\{ \dfrac{\pi}{6}+k\pi; \dfrac{\pi}{3}+k\pi \right\}}\)\(\displaystyle{S = \left\{ -\dfrac{\pi}{6}+k\pi; \dfrac{\pi}{3}+k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{6}+k\pi; -\dfrac{\pi}{3}+2k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{6}+k\pi; \dfrac{\pi}{4}+k\pi \right\}}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(2x\right) =\cos \left(\dfrac{\pi}{6}\right)}\) \(\displaystyle{S = \left\{ \dfrac{\pi}{6}+k\pi; \dfrac{\pi}{3}+k\pi \right\}}\)\(\displaystyle{S = \left\{ -\dfrac{\pi}{6}+k\pi; \dfrac{\pi}{3}+k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{6}+k\pi; -\dfrac{\pi}{3}+2k\pi \right\}}\)\(\displaystyle{S = \left\{ \dfrac{\pi}{6}+k\pi; \dfrac{\pi}{4}+k\pi \right\}}\)
Résoudre l'équation trigonométrique suivante sur \(\displaystyle{\mathbb{R}}\) : \(\displaystyle{\sin\left(2x\right) =\cos \left(\dfrac{\pi}{6}\right)}\)