Mathematics, 06.10.2019 06:40 pretti78
Express the complex number in trigonometric form. -6 + 6 square root of 3 i ?
Answers: 1
![\bf \begin{array}{clclll} -6&+&6\sqrt{3}\ i\\ \uparrow &&\uparrow \\ a&&b \end{array}\qquad \begin{cases} r=\sqrt{a^2+b^2}\\ \theta =tan^{-1}\left( \frac{b}{a} \right) \end{cases}\qquad r[cos(\theta )+i\ sin(\theta )]\\\\ -------------------------------\\\\](/tpl/images/0292/4671/51a1e.png)
![\bf 12\left[cos\left( \frac{2\pi }{3} \right) +i\ sin\left( \frac{2\pi }{3} \right) \right]](/tpl/images/0292/4671/e6d4d.png)
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Express the complex number in trigonometric form. -6 + 6 square root of 3 i ?...
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