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Category: Number Theory

What-is-the-area-bounded-by-the-curves-arg-z-pi-3-arg-z-2pi-3-and-arg-z-2-2i-3-pi-on-the-complex-plane-

Question Number 113091 by bobhans last updated on 11/Sep/20 Whatistheareaboundedbythecurvesarg(z)=π3;arg(z)=2π3andarg(z22i3)=πonthecomplexplane? Answered by john santu last updated on 11/Sep/20 $$\:\left({i}\right)\:{arg}\:\left({z}\right)\:=\:\frac{\pi}{\mathrm{3}}\:\rightarrow\:\frac{{y}}{{x}}\:=\:\mathrm{tan}\:\left(\frac{\pi}{\mathrm{3}}\right)…