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cosx+v3*(1-sinx)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
cos(x) + v3*(1 - sin(x)) = 0
v3(1−sin⁡(x))+cos⁡(x)=0v_{3} \left(1 - \sin{\left(x \right)}\right) + \cos{\left(x \right)} = 0
Simplificar
Gráfica
Respuesta rápida [src] 
     pi
x1 = --
     2
x1=π2x_{1} = \frac{\pi}{2} 
         /    / 1 + v3\\         /    / 1 + v3\\
x2 = 2*re|atan|-------|| + 2*I*im|atan|-------||
         \    \-1 + v3//         \    \-1 + v3//
x2=2re⁡(atan⁡(v3+1v3−1))+2iim⁡(atan⁡(v3+1v3−1))x_{2} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{v_{3} + 1}{v_{3} - 1} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{v_{3} + 1}{v_{3} - 1} \right)}\right)} 
x2 = 2*re(atan((v3 + 1)/(v3 - 1))) + 2*i*im(atan((v3 + 1)/(v3 - 1)))
Suma y producto de raíces [src] 
suma
pi       /    / 1 + v3\\         /    / 1 + v3\\
-- + 2*re|atan|-------|| + 2*I*im|atan|-------||
2        \    \-1 + v3//         \    \-1 + v3//
(2re⁡(atan⁡(v3+1v3−1))+2iim⁡(atan⁡(v3+1v3−1)))+π2\left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{v_{3} + 1}{v_{3} - 1} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{v_{3} + 1}{v_{3} - 1} \right)}\right)}\right) + \frac{\pi}{2} 
=
pi       /    / 1 + v3\\         /    / 1 + v3\\
-- + 2*re|atan|-------|| + 2*I*im|atan|-------||
2        \    \-1 + v3//         \    \-1 + v3//
2re⁡(atan⁡(v3+1v3−1))+2iim⁡(atan⁡(v3+1v3−1))+π22 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{v_{3} + 1}{v_{3} - 1} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{v_{3} + 1}{v_{3} - 1} \right)}\right)} + \frac{\pi}{2} 
producto
pi /    /    / 1 + v3\\         /    / 1 + v3\\\
--*|2*re|atan|-------|| + 2*I*im|atan|-------|||
2  \    \    \-1 + v3//         \    \-1 + v3///
π2(2re⁡(atan⁡(v3+1v3−1))+2iim⁡(atan⁡(v3+1v3−1)))\frac{\pi}{2} \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{v_{3} + 1}{v_{3} - 1} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{v_{3} + 1}{v_{3} - 1} \right)}\right)}\right) 
=
   /    /    / 1 + v3\\     /    / 1 + v3\\\
pi*|I*im|atan|-------|| + re|atan|-------|||
   \    \    \-1 + v3//     \    \-1 + v3///
π(re⁡(atan⁡(v3+1v3−1))+iim⁡(atan⁡(v3+1v3−1)))\pi \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{v_{3} + 1}{v_{3} - 1} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{v_{3} + 1}{v_{3} - 1} \right)}\right)}\right) 
pi*(i*im(atan((1 + v3)/(-1 + v3))) + re(atan((1 + v3)/(-1 + v3))))
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