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Loser66
 one year ago
Find z such that tanz = i/2
Please, help
Loser66
 one year ago
Find z such that tanz = i/2 Please, help

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Loser66
 one year ago
Best ResponseYou've already chosen the best response.2My attempt: \(tan z = \dfrac{sin z}{cos z}=\dfrac{e^{iz}e^{iz}}{2i} *\dfrac{2}{e^{iz}+e^{iz}}=\dfrac{i}{2}\)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2hey, faking girl, help me out. hehehe

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2from above \(2(e^{iz} e^{iz}) = (e^{iz}+e^{iz})\) \(2e^{iz}2e^{iz}+e^{iz}+e^{iz}=0\) \(3e^{iz}e^{iz}= 0\)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2multiple both sides by \(e^{iz}\), we get \(3e^{2iz} 1=0\\e^{2iz} = 1/3\)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2ok, you do your work, I do mine. then compare, hehehe. it's fun

Loser66
 one year ago
Best ResponseYou've already chosen the best response.22iz = log (1/3) the RHS : \(log (1/3) = log1/3 + i(arg (1/3) +2k\pi): k\in \mathbb Z\)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2now combine LHS \(z =\dfrac{log1/3 + i arg(1/3+2k\pi)}{2i}=\dfrac{arg(1/3 + 2k\pi}{2} \dfrac{ilog1/3}{2} \)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2You missed the real part!!!

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2As what you draw, z has real part, right? is it not just imaginary.

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2Yeah, you solve for y only, while z = x + iy.

dan815
 one year ago
Best ResponseYou've already chosen the best response.1e^itheta = cos theta + i sin theta there there is real

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wow i must be dumb i dont get this at alll xD

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im 14 and in 11th grade but i dont get this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You must teach me so i can master it

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2hahaha.... I am not a teacher, how can I teach you, ask "Honor professor dan815" please
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