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Lesson 10: Multiplying & dividing complex numbers in polar form

Multiply & divide complex numbers in polar form

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\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}

What is w, start subscript, 1, end subscript, dot, w, start subscript, 2, end subscript?

(Choice 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
(Choice 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
(Choice 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
(Choice 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

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