Contenido principal

Precálculo

Lección 8: Multiplicar y dividir números complejos en forma polar

Multiplica y divide números complejos en forma polar

Puede que necesites: Calculadora

\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}

¿Cuánto es w, start subscript, 1, end subscript, dot, w, start subscript, 2, end subscript?

(Elección 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
(Elección 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
(Elección 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
(Elección 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

¿Atorado?