![\bf \stackrel{a}{2}\qquad \stackrel{b}{-2}i~~ \begin{cases} r=&\sqrt{a^2+b^2}\\ &\sqrt{2^2+(-2)^2}\\ &\sqrt{2^2(1+1)}\\ &2\sqrt{2}\\ \theta =&tan^{-1}\left( \frac{b}{a} \right)\\ &tan^{-1}\left( \frac{-2}{2} \right)\\ &tan^{-1}(-1)\\ &\frac{3\pi }{4}~~,~~\frac{7\pi }{4}\\ &\frac{7\pi }{4} \end{cases}~\hfill \implies ~\hfill \begin{array}{llll} r[\cos(\theta )+i\sin(\theta )]\\\\ 2\sqrt{2}\left[ \cos\left( \frac{7\pi }{4} \right)+i\sin\left( \frac{7\pi }{4} \right) \right] \end{array}](/tpl/images/0350/3807/ddeb5.png)
Express the complex number in trigonometric form. 2 - 2i
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Mathematics, 29.10.2019 02:31, sayedabdullah
Express the complex number in trigonometric form. 2 - 2i
Answers: 1
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