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Determinate-the-module-and-the-argument-of-the-complex-number-z-1-cos-itan-1-cos-isin-with-pi-lt-lt-2pi-




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 by TANMAY 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 by mathocean1 last updated on 10/Nov/20
itanθ
$$\mathrm{i}{tan}\theta \\ $$

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