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sin((5pi/2)+x)+sqrt(1+sinx)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /5*pi    \     ____________    
sin|---- + x| + \/ 1 + sin(x)  = 0
   \ 2      /                     
$$\sqrt{\sin{\left(x \right)} + 1} + \sin{\left(x + \frac{5 \pi}{2} \right)} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
-pi 
----
 2  
$$- \frac{\pi}{2}$$
=
-pi 
----
 2  
$$- \frac{\pi}{2}$$
producto
-pi 
----
 2  
$$- \frac{\pi}{2}$$
=
-pi 
----
 2  
$$- \frac{\pi}{2}$$
-pi/2
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
x1 = -pi/2
Respuesta numérica [src]
x1 = 279.601746169492
x2 = 47.1238898038469
x3 = 84.8230016469244
x4 = -39.2699081698724
x5 = -53.4070751110265
x6 = 91.106186954104
x7 = -84.8230016469244
x8 = -3.14159265358979
x9 = -70.6858347057703
x10 = -128.805298797182
x11 = 61.261056745001
x12 = -40.8407044966673
x13 = 36.1283155162826
x14 = 78.5398163397448
x15 = -9.42477796076938
x16 = 72.2566310325652
x17 = 42.4115008234622
x18 = 80.1106126665397
x19 = 9.42477796076938
x20 = -64.4026493985908
x21 = 40.8407044966673
x22 = 98.9601685880785
x23 = -114.668131856027
x24 = 59.6902604182061
x25 = -89.5353906273091
x26 = -91.106186954104
x27 = -26.7035375555132
x28 = 97.3893722612836
x29 = 17.2787595947439
x30 = 34.5575191894877
x31 = -78.5398163397448
x32 = 4.71238898038469
x33 = 746.128255227576
x34 = 73.8274273593601
x35 = -65.9734457253857
x36 = -58.1194640914112
x37 = -51.8362787842316
x38 = -83.2522053201295
x39 = -152.367243699105
x40 = 122.522113490002
x41 = 3.14159265358979
x42 = 15.707963267949
x43 = -14.1371669411541
x44 = -76.9690200129499
x45 = -21.9911485751286
x46 = 92.6769832808989
x47 = -15.707963267949
x48 = 28.2743338823081
x49 = -20.4203522483337
x50 = -190.066355542182
x51 = 105.243353895258
x52 = 67.5442420521806
x53 = 54.9778714378214
x54 = -34.5575191894877
x55 = -59.6902604182061
x56 = -97.3893722612836
x57 = 21.9911485751286
x58 = 65.9734457253857
x59 = 48.6946861306418
x60 = -72.2566310325652
x61 = -7.85398163397448
x62 = -45.553093477052
x63 = -95.8185759344887
x64 = 29.845130209103
x65 = -28.2743338823081
x66 = -32.9867228626928
x67 = -1.5707963267949
x68 = 23.5619449019235
x69 = 10.9955742875643
x70 = -127.234502470387
x71 = 86.3937979737193
x72 = 53.4070751110265
x73 = -47.1238898038469
x73 = -47.1238898038469