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sin(sinx+1)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
sin(sin(x) + 1) = 0
$$\sin{\left(\sin{\left(x \right)} + 1 \right)} = 0$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
     -pi 
x1 = ----
      2
$$x_{1} = - \frac{\pi}{2}$$ 
     3*pi
x2 = ----
      2
$$x_{2} = \frac{3 \pi}{2}$$ 
x3 = pi + I*im(asin(1 - pi)) + re(asin(1 - pi))
$$x_{3} = \operatorname{re}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)}$$ 
x4 = -re(asin(1 - pi)) - I*im(asin(1 - pi))
$$x_{4} = - \operatorname{re}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)}$$ 
x4 = -re(asin(1 - pi)) - i*im(asin(1 - pi))
Suma y producto de raíces [src] 
suma
  pi   3*pi                                                                                      
- -- + ---- + pi + I*im(asin(1 - pi)) + re(asin(1 - pi)) + -re(asin(1 - pi)) - I*im(asin(1 - pi))
  2     2
$$\left(- \operatorname{re}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)}\right) + \left(\left(- \frac{\pi}{2} + \frac{3 \pi}{2}\right) + \left(\operatorname{re}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)}\right)\right)$$ 
=
2*pi
$$2 \pi$$ 
producto
-pi  3*pi                                                                                      
----*----*(pi + I*im(asin(1 - pi)) + re(asin(1 - pi)))*(-re(asin(1 - pi)) - I*im(asin(1 - pi)))
 2    2
$$- \frac{\pi}{2} \frac{3 \pi}{2} \left(\operatorname{re}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)}\right) \left(- \operatorname{re}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)}\right)$$ 
=
    2                                                                                     
3*pi *(I*im(asin(1 - pi)) + re(asin(1 - pi)))*(pi + I*im(asin(1 - pi)) + re(asin(1 - pi)))
------------------------------------------------------------------------------------------
                                            4
$$\frac{3 \pi^{2} \left(\operatorname{re}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(1 - \pi \right)}\right)}\right)}{4}$$ 
3*pi^2*(i*im(asin(1 - pi)) + re(asin(1 - pi)))*(pi + i*im(asin(1 - pi)) + re(asin(1 - pi)))/4
Respuesta numérica [src] 
x1 = 86.3937971158169
x2 = 54.9778718198627
x3 = 4.71238874528586
x4 = -1.5707955852099
x5 = -45.5530939378357
x6 = -196.349540966757
x7 = -39.2699078734678
x8 = 48.6946863955369
x9 = 42.4115000988466
x10 = -45.5530935910287
x11 = -64.4026491658455
x12 = 48.6946859029122
x13 = -26.7035375504503
x14 = 86.393798028626
x15 = 23.5619451494763
x16 = 4516.03943868782
x17 = 92.6769835268683
x18 = 29.8451303230768
x19 = -20.4203524863282
x20 = -1.57079643183101
x21 = 54.9778711083612
x22 = 86.3937978870195
x23 = -26.7035379290439
x24 = -20.4203520081222
x25 = 67.5442423069478
x26 = -70.6858350779028
x27 = -1.57079691369776
x28 = 4.71238926200474
x29 = -58.1194639977256
x30 = 10.9955746703571
x31 = 73.827427998286
x32 = 23.5619449410981
x33 = -76.969020356509
x34 = 98.9601689688702
x35 = 10.9955739531827
x36 = -14.137166837138
x37 = 180.641576281954
x38 = -76.9690196300336
x39 = 29.8451309879556
x40 = -83.2522055696303
x41 = -32.9867224796172
x42 = 36.128315704193
x43 = -83.2522050106588
x44 = 42.4115007275124
x45 = -58.1194631886599
x46 = -89.5353909771056
x47 = -26.7035372154614
x48 = -45.5530935593427
x49 = -64.4026496142263
x50 = 17.2787592203691
x51 = 92.6769830606458
x52 = 61.2610563702994
x53 = -14.1371660417424
x54 = 80.110613137569
x55 = -7.85398149669227
x56 = -32.9867232017775
x57 = 1443.56182433365
x58 = 98.9601682637481
x59 = -70.685834370667
x60 = 67.5442417771585
x61 = -51.8362786893308
x62 = -95.8185758680499
x63 = 67.5442412397037
x64 = -89.5353898509768
x65 = 61.2610570943049
x66 = -39.2699084122296
x67 = -89.5353907500944
x68 = -95.8185765763686
x69 = 23.5619446442412
x70 = 73.8274274829835
x71 = 17.2787599395322
x72 = -45.5530944937508
x72 = -45.5530944937508
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