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Convertissez en radians l'angle \(390^\circ \).
\(30\mbox{ radians}\)
\(\dfrac{\pi}{3} \mbox{ radians}\)
\( \dfrac{\pi}{6}\mbox{ radians}\)
\( 2\pi \mbox{ radians}\)
Résolvez l'équation \(\sin x = \dfrac{\sqrt{2}}{2} \).
\( S=\left\{\dfrac{\pi}{4}\right\} \)
\( S=\left\{\dfrac{\pi}{4},\, \dfrac{3\pi}{4}\right\} \)
\( S=\left\{\dfrac{\pi}{4}+2k\pi,\, \dfrac{3\pi}{4}+2k\pi;\, k\in\mathbb{Z}\right\} \)
\( S=\left\{\dfrac{\pi}{4}+2k\pi,\, \dfrac{7\pi}{4}+2k\pi;\, k\in\mathbb{Z}\right\} \)
Sans calculatrice, calculez \(\sin\theta\) si \(\theta=\dfrac{5\pi}{6} \).
\( -\dfrac{1}{2} \)
\( \dfrac{1}{2} \)
\(\dfrac{\sqrt{3}}{2} \)
\( 150 \)
Résolvez l'équation \(\sin 5x +1=0 \).
\( S=\left\{-\dfrac{1}{5}\right\} \)
\( S=\left\{\dfrac{3\pi}{10},\, -\dfrac{\pi}{10}\right\} \)
\( S=\left\{\dfrac{3\pi}{10}+2k\pi,\, -\dfrac{\pi}{10}+2k\pi;\, k\in\mathbb{Z}\right\} \)
\( S=\left\{\dfrac{3\pi}{10}+2k\dfrac{\pi}{5};\, k\in\mathbb{Z}\right\} \)
Sachant que \(ABCDEF\) est un hexagone régulier inscrit dans un cercle de centre \(O\) , comparez les angles \(\widehat{CAD}\) et \( \widehat{CFD} \).
\( \widehat{CAD}=\widehat{CFD} \)
\( 2\widehat{CAD}=\widehat{CFD} \)
\(\widehat{CAD}=2\widehat{CFD} \)
\( \widehat{CAD}=\dfrac{1}{2}\widehat{CFD} \)
Donnez la valeur de \(\cos {3\pi \over 4}\) .
\( -\dfrac{\sqrt{2}}{2} \)
\( \dfrac{\sqrt{2}}{2} \)
\( 135 \)
Convertissez en degrés l'angle \(-\pi \over 4 \).
\( \dfrac{1}{8} \mbox{ degrés}\)
\(4\mbox{ degrés}\)
\(315 \mbox{ degrés}\)
\( 45 \mbox{ degrés}\)
Convertissez en radians l'angle \(345^\circ \).
\(\dfrac{23\pi}{12} \mbox{ radians}\)
\( \dfrac{11\pi}{12} \mbox{ radians}\)
\( \dfrac{\pi}{345} \mbox{ radians}\)
\( 345 \mbox{ radians}\)
Sans calculatrice, calculez \(tg\, \theta\) si \(\theta=315^{\circ}\) .
\( \dfrac{7\pi}{4} \)
\( -1 \)
\( 1 \)
n'existe pas
Convertissez en degrés l'angle \(\pi \over 2\) .
\(45\mbox{ degrés}\)
\(90\mbox{ degrés}\)
\( 180 \mbox{ degrés}\)
\( \dfrac{1}{4}\mbox{ degrés}\)
