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Donnez la valeur de \(cotg\, 0 \).
0
1
90
n'existe pas
Convertissez en radians l'angle \(-135^\circ \).
\( -135\mbox{ radians}\)
\( \dfrac{3\pi}{4}\mbox{ radians}\)
\( \dfrac{5\pi}{4} \mbox{ radians}\)
\( -\dfrac{5\pi}{4} \mbox{ radians}\)
Résolvez l'équation \(\sin x = \dfrac{\sqrt{2}}{2} \).
\( S=\left\{\dfrac{\pi}{4}\right\} \)
\( S=\left\{\dfrac{\pi}{4},\, \dfrac{3\pi}{4}\right\} \)
\( S=\left\{\dfrac{\pi}{4}+2k\pi,\, \dfrac{3\pi}{4}+2k\pi;\, k\in\mathbb{Z}\right\} \)
\( S=\left\{\dfrac{\pi}{4}+2k\pi,\, \dfrac{7\pi}{4}+2k\pi;\, k\in\mathbb{Z}\right\} \)
\(\sin (2\pi +a)= \)
\(\sin a \)
\( -\sin a \)
\( \cos a \)
\(2\pi+\sin a \)
\(\sin ({\pi \over 2}-a)= \)
\(\cos a \)
\( \sin a \)
\( -\cos a \)
Résolvez l'équation \(tg\, 3x = \dfrac{\sqrt{3}}{3}\) .
\( S=\left\{\dfrac{\pi}{18}\right\} \)
\( S=\left\{\dfrac{\pi}{18}+k\dfrac{\pi}{3};\, k\in\mathbb{Z}\right\} \)
\( S=\left\{\dfrac{\pi}{18}+2k\dfrac{\pi}{3};\, k\in\mathbb{Z}\right\} \)
\( S=\left\{\dfrac{\pi}{18}+2k\pi;\, k\in\mathbb{Z}\right\} \)
Déterminez à l'aide du cercle trigonométrique la valeur de \(\sin\dfrac{11\pi}{6} \).
\( \dfrac{1}{2} \)
\( -\dfrac{1}{2} \)
\( \dfrac{\sqrt{3}}{2} \)
\( -\dfrac{\sqrt{3}}{2} \)
Convertissez en radians l'angle \(240^\circ \).
\(\dfrac{\pi}{240}\mbox{ radians}\)
\( \dfrac{8\pi}{3}\mbox{ radians}\)
\( \dfrac{4\pi}{3}\mbox{ radians}\)
\( 240\mbox{ radians}\)
Résolvez l'équation \(\sin 2x = \sin \dfrac{\pi}{4}\) .
\( S=\left\{\dfrac{\pi}{8}\right\} \)
\( S=\left\{\dfrac{\pi}{8},\, \dfrac{3\pi}{8}\right\} \)
\(S=\left\{\dfrac{\pi}{8}+2k\pi,\, \dfrac{3\pi}{8}+2k\pi;\, k\in\mathbb{Z}\right\} \)
\( S=\left\{\dfrac{\pi}{8}+k\pi,\, \dfrac{3\pi}{8}+k\pi;\, k\in\mathbb{Z}\right\} \)
Convertissez en radians l'angle \(-75^\circ \).
\( -75\mbox{ radians}\)
\( \dfrac{\pi}{36} \mbox{ radians}\)
\( \dfrac{5\pi}{12}\mbox{ radians}\)
\( \dfrac{19\pi}{12}\mbox{ radians}\)