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Question Number 121657 by mathocean1 last updated on 10/Nov/20

Determinate the module  and the argument of the  complex number   z=((1−cosθ+itanθ)/(1+cosθ−isinθ))  with π<θ<2π

$$\mathrm{Determinate}\:\mathrm{the}\:\mathrm{module} \\ $$ $$\mathrm{and}\:\mathrm{the}\:\mathrm{argument}\:\mathrm{of}\:\mathrm{the} \\ $$ $$\mathrm{complex}\:\mathrm{number}\: \\ $$ $$\mathrm{z}=\frac{\mathrm{1}−\mathrm{cos}\theta+\mathrm{itan}\theta}{\mathrm{1}+\mathrm{cos}\theta−\mathrm{isin}\theta} \\ $$ $$\mathrm{with}\:\pi<\theta<\mathrm{2}\pi \\ $$ $$ \\ $$

Commented byTANMAY PANACEA last updated on 10/Nov/20

is it (i tanθ ) or (i sinθ)

$${is}\:{it}\:\left({i}\:{tan}\theta\:\right)\:{or}\:\left({i}\:{sin}\theta\right) \\ $$

Commented bymathocean1 last updated on 10/Nov/20

itanθ

$$\mathrm{i}{tan}\theta \\ $$

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