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Terminale option math expertes

Leçon 5: Multiplier ou diviser des nombres complexes écrits sous forme trigonométrique ou exponentielle

Multiplier ou diviser des nombres complexes écrits sous forme trigonométrique

Vous pourriez avoir besoin de : la calculatrice

\begin{aligned} w_1&=6 \left( \cos\left(\dfrac{11\pi}{12}\right)+i\sin\left(\dfrac{11\pi}{12}\right) \right) \\\\ w_2&=3 \left( \cos\left(\dfrac{\pi}{6}\right)+i\sin\left(\dfrac{\pi}{6}\right) \right) \end{aligned}

w, start subscript, 1, end subscript, times, w, start subscript, 2, end subscript est égal à :

(Choix A)
2, left parenthesis, cosine, left parenthesis, start fraction, 3, pi, divided by, 4, end fraction, right parenthesis, plus, i, sine, left parenthesis, start fraction, 3, pi, divided by, 4, end fraction, right parenthesis, right parenthesis
(Choix B)
18, left parenthesis, cosine, left parenthesis, start fraction, 3, pi, divided by, 4, end fraction, right parenthesis, plus, i, sine, left parenthesis, start fraction, 3, pi, divided by, 4, end fraction, right parenthesis, right parenthesis
(Choix C)
18, left parenthesis, cosine, left parenthesis, start fraction, 13, pi, divided by, 12, end fraction, right parenthesis, plus, i, sine, left parenthesis, start fraction, 13, pi, divided by, 12, end fraction, right parenthesis, right parenthesis
(Choix D)
2, left parenthesis, cosine, left parenthesis, start fraction, 13, pi, divided by, 12, end fraction, right parenthesis, plus, i, sine, left parenthesis, start fraction, 13, pi, divided by, 12, end fraction, right parenthesis, right parenthesis

Bloqué(e) ?