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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)       
$$y = \frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}$$
Solución detallada
Tenemos la ecuación:
$$y = \frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}$$
cambiamos:
$$y = \frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}$$
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)       /
$$y_{1} = \operatorname{re}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)}$$
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)       /
$$\operatorname{re}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)}$$
=
    /log(cot(x) + tan(x))\     /log(cot(x) + tan(x))\
I*im|--------------------| + re|--------------------|
    \       sin(a)       /     \       sin(a)       /
$$\operatorname{re}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)}$$
producto
    /log(cot(x) + tan(x))\     /log(cot(x) + tan(x))\
I*im|--------------------| + re|--------------------|
    \       sin(a)       /     \       sin(a)       /
$$\operatorname{re}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)}$$
=
    /log(cot(x) + tan(x))\     /log(cot(x) + tan(x))\
I*im|--------------------| + re|--------------------|
    \       sin(a)       /     \       sin(a)       /
$$\operatorname{re}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(\tan{\left(x \right)} + \cot{\left(x \right)} \right)}}{\sin{\left(a \right)}}\right)}$$
i*im(log(cot(x) + tan(x))/sin(a)) + re(log(cot(x) + tan(x))/sin(a))