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

$$solvefor\theta intermsofywheny=e^{\theta }(cos\theta +sin\theta )$$

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

$$impossible!$$

Commented by mokys last updated on 06/Feb/24

$$thankyoualotsir$$

Commented by mokys last updated on 06/Feb/24

$$sorysiriwant\theta fory$$

Commented by Frix last updated on 07/Feb/24

$$\mathrm{Maybe}y={\mathrm{e}}^{\theta }(\cos \theta +\mathrm{i}\sin \theta ),\mathrm{because}\mathrm{then}$$$${\mathrm{it}}^{\prime }\mathrm{s}\mathrm{possible}:$$$${\mathrm{e}}^{\mathrm{i}\theta }=\cos \theta +\mathrm{i}\sin \theta ={\mathrm{e}}^{\mathrm{i}\theta }$$$$\Rightarrow$$$$y={\mathrm{e}}^{(1+\mathrm{i})\theta }$$$$\theta =\frac{\ln y}{2}+n\pi -(\frac{\ln y}{2}-n\pi )\mathrm{i}$$

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