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Question Number 146782 by mathdanisur last updated on 15/Jul/21

$$Findthemodulusofacomplex$$$$number:$$$$Z=cos40+isin40+1=?$$

Answered by Ar Brandon last updated on 15/Jul/21

$$\mathrm{z}={\mathrm{e}}^{40\mathrm{i}}+1={\mathrm{e}}^{20\mathrm{i}}({\mathrm{e}}^{20\mathrm{i}}+{\mathrm{e}}^{-20\mathrm{i}})$$$$={\mathrm{e}}^{20\mathrm{i}}\left(2\cos 20\right)\Rightarrow \mid \mathrm{z}\mid =2\cos \left(20\right)$$

Commented by mathdanisur last updated on 15/Jul/21

$$coolSerthankyou$$$$howdidyouchangeitandwriteit$$$$ase{\mathit{e}}^{40\mathit{i}}.?$$

Commented by Ar Brandon last updated on 16/Jul/21

$${\mathrm{e}}^{\mathrm{i}\theta }=\cos \theta +\mathrm{isin}\theta$$

Commented by mathdanisur last updated on 16/Jul/21

$$thanksSer$$

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