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Question Number 146778 by mathdanisur last updated on 15/Jul/21

$$Findthemodulusofacomplex$$$$number:$$$$Z=cos40+isin20+1=?$$

Answered by mathmax by abdo last updated on 15/Jul/21

$$40\to \frac{40\pi }{180}=\frac{2\pi }{9}\mathrm{and}20\to \frac{20\pi }{180}=\frac{\pi }{9}\Rightarrow \mathrm{Z}=\cos \left(2\frac{\pi }{9}\right)+1+\mathrm{isin}\left(\frac{\pi }{9}\right)$$$$=1+\cos \left(\frac{2\pi }{9}\right)+\mathrm{isin}\left(\frac{\pi }{9}\right)\Rightarrow \mid \mathrm{Z}\mid =\sqrt{(1+\cos {\left(\frac{2\pi }{9}\right)}^2+{\sin }^2\left(\frac{\pi }{9}\right)}$$

Commented by mathdanisur last updated on 15/Jul/21

$$thankyouSer$$

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