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Expresiones idénticas
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Solución
Ha introducido
[src]
cos(2*x) + c1*x + c2 = 0
$$c_{2} + \left(c_{1} x + \cos{\left(2 x \right)}\right) = 0$$
Gráfica
Respuesta rápida
[src]
c21 = -re(c1*x) + I*(-im(c1*x) + sin(2*re(x))*sinh(2*im(x))) - cos(2*re(x))*cosh(2*im(x))
$$c_{21} = i \left(\sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)} - \operatorname{im}{\left(c_{1} x\right)}\right) - \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)} - \operatorname{re}{\left(c_{1} x\right)}$$
c21 = i*(sin(2*re(x))*sinh(2*im(x)) - im(c1*x)) - cos(2*re(x))*cosh(2*im(x)) - re(c1*x)
Suma y producto de raíces
[src]
suma
-re(c1*x) + I*(-im(c1*x) + sin(2*re(x))*sinh(2*im(x))) - cos(2*re(x))*cosh(2*im(x))
$$i \left(\sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)} - \operatorname{im}{\left(c_{1} x\right)}\right) - \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)} - \operatorname{re}{\left(c_{1} x\right)}$$
=
-re(c1*x) + I*(-im(c1*x) + sin(2*re(x))*sinh(2*im(x))) - cos(2*re(x))*cosh(2*im(x))
$$i \left(\sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)} - \operatorname{im}{\left(c_{1} x\right)}\right) - \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)} - \operatorname{re}{\left(c_{1} x\right)}$$
producto
-re(c1*x) + I*(-im(c1*x) + sin(2*re(x))*sinh(2*im(x))) - cos(2*re(x))*cosh(2*im(x))
$$i \left(\sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)} - \operatorname{im}{\left(c_{1} x\right)}\right) - \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)} - \operatorname{re}{\left(c_{1} x\right)}$$
=
-re(c1*x) + I*(-im(c1*x) + sin(2*re(x))*sinh(2*im(x))) - cos(2*re(x))*cosh(2*im(x))
$$i \left(\sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)} - \operatorname{im}{\left(c_{1} x\right)}\right) - \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)} - \operatorname{re}{\left(c_{1} x\right)}$$
-re(c1*x) + i*(-im(c1*x) + sin(2*re(x))*sinh(2*im(x))) - cos(2*re(x))*cosh(2*im(x))