J’entre en Terminale
Correction - Exercice 43
Trigonométrie · Niveau 1 - Automatismes
Enonce
Compléter les valeurs exactes :
- \(\cos 0,\quad \sin 0\)
- \(\cos \frac{\pi}{6},\quad \sin \frac{\pi}{6}\)
- \(\cos \frac{\pi}{4},\quad \sin \frac{\pi}{4}\)
- \(\cos \frac{\pi}{3},\quad \sin \frac{\pi}{3}\)
- \(\cos \frac{\pi}{2},\quad \sin \frac{\pi}{2}\)
- \(\cos \pi,\quad \sin \pi\)
Correction
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\[
\cos0=1,\quad \sin0=0
\]
\[
\cos\frac{\pi}{6}=\frac{\sqrt3}{2},\quad \sin\frac{\pi}{6}=\frac12
\]
\[
\cos\frac{\pi}{4}=\frac{\sqrt2}{2},\quad \sin\frac{\pi}{4}=\frac{\sqrt2}{2}
\]
\[
\cos\frac{\pi}{3}=\frac12,\quad \sin\frac{\pi}{3}=\frac{\sqrt3}{2}
\]
\[
\cos\frac{\pi}{2}=0,\quad \sin\frac{\pi}{2}=1,\quad \cos\pi=-1,\quad \sin\pi=0.
\]