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cos(x)=c+3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
cos(x) = c + 3
cos⁡(x)=c+3\cos{\left(x \right)} = c + 3
Simplificar
Solución detallada
Tenemos la ecuación
cos⁡(x)=c+3\cos{\left(x \right)} = c + 3
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
x=πn+acos⁡(c+3)x = \pi n + \operatorname{acos}{\left(c + 3 \right)}
x=πn+acos⁡(c+3)−πx = \pi n + \operatorname{acos}{\left(c + 3 \right)} - \pi
O
x=πn+acos⁡(c+3)x = \pi n + \operatorname{acos}{\left(c + 3 \right)}
x=πn+acos⁡(c+3)−πx = \pi n + \operatorname{acos}{\left(c + 3 \right)} - \pi
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src] 
suma
-re(acos(3 + c)) + 2*pi - I*im(acos(3 + c)) + I*im(acos(3 + c)) + re(acos(3 + c))
(re⁡(acos⁡(c+3))+iim⁡(acos⁡(c+3)))+(−re⁡(acos⁡(c+3))−iim⁡(acos⁡(c+3))+2π)\left(\operatorname{re}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)}\right) + \left(- \operatorname{re}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)} - i \operatorname{im}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)} + 2 \pi\right) 
=
2*pi
2π2 \pi 
producto
(-re(acos(3 + c)) + 2*pi - I*im(acos(3 + c)))*(I*im(acos(3 + c)) + re(acos(3 + c)))
(re⁡(acos⁡(c+3))+iim⁡(acos⁡(c+3)))(−re⁡(acos⁡(c+3))−iim⁡(acos⁡(c+3))+2π)\left(\operatorname{re}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)}\right) \left(- \operatorname{re}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)} - i \operatorname{im}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)} + 2 \pi\right) 
=
-(I*im(acos(3 + c)) + re(acos(3 + c)))*(-2*pi + I*im(acos(3 + c)) + re(acos(3 + c)))
−(re⁡(acos⁡(c+3))+iim⁡(acos⁡(c+3)))(re⁡(acos⁡(c+3))+iim⁡(acos⁡(c+3))−2π)- \left(\operatorname{re}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)} - 2 \pi\right) 
-(i*im(acos(3 + c)) + re(acos(3 + c)))*(-2*pi + i*im(acos(3 + c)) + re(acos(3 + c)))
Respuesta rápida [src] 
x1 = -re(acos(3 + c)) + 2*pi - I*im(acos(3 + c))
x1=−re⁡(acos⁡(c+3))−iim⁡(acos⁡(c+3))+2πx_{1} = - \operatorname{re}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)} - i \operatorname{im}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)} + 2 \pi 
x2 = I*im(acos(3 + c)) + re(acos(3 + c))
x2=re⁡(acos⁡(c+3))+iim⁡(acos⁡(c+3))x_{2} = \operatorname{re}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(c + 3 \right)}\right)} 
x2 = re(acos(c + 3)) + i*im(acos(c + 3))
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