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\( \sin (-a)= \)
\( \sin a \)
\( -\sin a \)
\(\cos a \)
\( -\cos a \)
Si \(\alpha=53^{\circ}\) , alors le complémentaire de \(\alpha\) vaut
\( 37^{\circ}\)
\( 127^{\circ} \)
\( 143^{\circ} \)
\( 413^{\circ} \)
Convertissez en radians l'angle \(-135^\circ \).
\( -135\mbox{ radians}\)
\( \dfrac{3\pi}{4}\mbox{ radians}\)
\( \dfrac{5\pi}{4} \mbox{ radians}\)
\( -\dfrac{5\pi}{4} \mbox{ radians}\)
Donnez la valeur de \(cotg\, 0 \).
0
1
90
n'existe pas
Résolvez l'équation \(\cos(3x+\pi) = \cos x \).
\( S=\left\{-\dfrac{\pi}{2}+k\pi,\, -\dfrac{\pi}{4}+k\dfrac{\pi}{2};\, k\in\mathbb{Z}\right\} \)
\( S=\left\{-\dfrac{\pi}{2},\, -\dfrac{\pi}{4};\, k\in\mathbb{Z}\right\} \)
\( S=\left\{-\dfrac{\pi}{2}+k\pi;\, k\in\mathbb{Z}\right\} \)
\( S=\left\{-\dfrac{\pi}{2}+2k\pi,\, -\dfrac{\pi}{4}+2k\dfrac{\pi}{2};\, k\in\mathbb{Z}\right\} \)
Résolvez l'équation \(\cos x = \dfrac{\sqrt{3}}{2} \).
\(S=\left\{\dfrac{\pi}{6}\right\} \)
\( S=\left\{\dfrac{\pi}{6},\, \dfrac{-\pi}{6}\right\} \)
\( S=\left\{\dfrac{\pi}{3}+2k\pi,\, \dfrac{-\pi}{3}+2k\pi;\, k\in\mathbb{Z}\right\} \)
\( S=\left\{\dfrac{\pi}{6}+2k\pi,\, \dfrac{-\pi}{6}+2k\pi;\, k\in\mathbb{Z}\right\} \)
Convertissez en degrés l'angle\( \pi \over 12 \).
\(\dfrac{\pi}{15} \mbox{ degrés}\)
\(15 \mbox{ degrés}\)
\( 12 \mbox{ degrés}\)
\( 7,5 \mbox{ degrés}\)
Résolvez l'équation \(tg\, x =1\) .
\(S=\left\{\dfrac{\pi}{4}\right\} \)
\(S=\left\{\dfrac{\pi}{4}+k\pi;\, k\in\mathbb{Z}\right\} \)
\( S=\left\{\dfrac{\pi}{4},\, \dfrac{5\pi}{4}\right\} \)
\( S=\left\{\dfrac{\pi}{4}+2k\pi;\, k\in\mathbb{Z}\right\} \)
Convertissez en radians l'angle \(45^\circ \).
\(45\mbox{ radians}\)
\( \dfrac{\pi}{2}\mbox{ radians}\)
\(\dfrac{\pi}{4}\mbox{ radians}\)
\( \dfrac{\pi}{45} \mbox{ radians}\)
Sachant que \(ABCD\) est un carré inscrit dans un cercle de centre \(O \), comparez les angles \(\widehat{CAD}\) et \(\widehat{CBD}\) .
\( \widehat{CAD}=\widehat{CBD} \)
\( 2\widehat{CAD}=\widehat{CBD} \)
\( \widehat{CAD}=2\widehat{CBD} \)
\( \widehat{CAD}=\dfrac{1}{2}\widehat{CBD} \)
