Y'=tgx *tgy reshite pojaluysta eto zadaniye

[latex]y'=tgx*tgy \\ \frac{dy}{dx} =tgx*tgy \\ \frac{dy}{tgy}=dx*tgx \\ \frac{cosy*dy}{siny}= \frac{sinx*dx}{cosx} \\ \int\frac{d(siny)}{siny}=-\int\frac{d(cosx)}{cosx} \\ lnsiny=-lncosx+lnC \\ y= \frac{C}{cosx} [/latex]