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y=(1\sina)*(ln(tgx+ctgx)) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
    log(tan(x) + cot(x))
y = --------------------
           sin(a)
y=log⁡(tan⁡(x)+cot⁡(x))sin⁡(a)y = \frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}
Simplificar
Solución detallada
Tenemos la ecuación:
y=log⁡(tan⁡(x)+cot⁡(x))sin⁡(a)y = \frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}
cambiamos:
y=log⁡(tan⁡(x)+cot⁡(x))sin⁡(a)y = \frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}
Abrimos los paréntesis en el miembro derecho de la ecuación
y = logcot+x + tanx)/sina

Obtenemos la respuesta: y = log(cot(x) + tan(x))/sin(a)
Gráfica
Respuesta rápida [src] 
         /log(cot(x) + tan(x))\     /log(cot(x) + tan(x))\
y1 = I*im|--------------------| + re|--------------------|
         \       sin(a)       /     \       sin(a)       /
y1=re⁡(log⁡(tan⁡(x)+cot⁡(x))sin⁡(a))+iim⁡(log⁡(tan⁡(x)+cot⁡(x))sin⁡(a))y_{1} = \operatorname{re}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} 
y1 = re(log(tan(x) + cot(x))/sin(a)) + i*im(log(tan(x) + cot(x))/sin(a))
Suma y producto de raíces [src] 
suma
    /log(cot(x) + tan(x))\     /log(cot(x) + tan(x))\
I*im|--------------------| + re|--------------------|
    \       sin(a)       /     \       sin(a)       /
re⁡(log⁡(tan⁡(x)+cot⁡(x))sin⁡(a))+iim⁡(log⁡(tan⁡(x)+cot⁡(x))sin⁡(a))\operatorname{re}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} 
=
    /log(cot(x) + tan(x))\     /log(cot(x) + tan(x))\
I*im|--------------------| + re|--------------------|
    \       sin(a)       /     \       sin(a)       /
re⁡(log⁡(tan⁡(x)+cot⁡(x))sin⁡(a))+iim⁡(log⁡(tan⁡(x)+cot⁡(x))sin⁡(a))\operatorname{re}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} 
producto
    /log(cot(x) + tan(x))\     /log(cot(x) + tan(x))\
I*im|--------------------| + re|--------------------|
    \       sin(a)       /     \       sin(a)       /
re⁡(log⁡(tan⁡(x)+cot⁡(x))sin⁡(a))+iim⁡(log⁡(tan⁡(x)+cot⁡(x))sin⁡(a))\operatorname{re}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} 
=
    /log(cot(x) + tan(x))\     /log(cot(x) + tan(x))\
I*im|--------------------| + re|--------------------|
    \       sin(a)       /     \       sin(a)       /
re⁡(log⁡(tan⁡(x)+cot⁡(x))sin⁡(a))+iim⁡(log⁡(tan⁡(x)+cot⁡(x))sin⁡(a))\operatorname{re}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} 
i*im(log(cot(x) + tan(x))/sin(a)) + re(log(cot(x) + tan(x))/sin(a))
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