solve-for-in-terms-of-y-when-y-e-cos-sin-

Question Number 204117 by mokys last updated on 06/Feb/24

s o l v e f o r θ i n t e r m s o f y w h e n y = e^{θ} (c o s θ + s i n θ)

Commented by mr W last updated on 06/Feb/24

i m p o s s i b l e!

Commented by mokys last updated on 06/Feb/24

t h a n k y o u a l o t s i r

Commented by mokys last updated on 06/Feb/24

s o r y s i r i w a n t θ f o r y

Commented by Frix last updated on 07/Feb/24

Maybe y = e^{θ} (\cos θ + i \sin θ), because then

{it}^{'} s possible :

e^{i θ} = \cos θ + i \sin θ = e^{i θ}

\Rightarrow

y = e^{(1 + i) θ}

θ = \frac{\ln y}{2} + n π - (\frac{\ln y}{2} - n π) i

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