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sin(x)+cos(x)=-1

sin(x)+cos(x)=-1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(x) + cos(x) = -1
$$\sin{\left(x \right)} + \cos{\left(x \right)} = -1$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
x1 = -pi/2
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 numérica [src]
x1 = 4.71238898038469
x2 = -20.4203522483337
x3 = -14.1371669411541
x4 = -196.349540849362
x5 = 47.1238898038469
x6 = 21.9911485751286
x7 = -65.9734457253857
x8 = -32.9867228626928
x9 = 10.9955742875643
x10 = -28.2743338823081
x11 = -91.106186954104
x12 = 15.707963267949
x13 = 91.106186954104
x14 = -53.4070751110265
x15 = 42.4115008234622
x16 = -47.1238898038469
x17 = -95.8185759344887
x18 = -7.85398163397448
x19 = 80.1106126665397
x20 = 34.5575191894877
x21 = 40.8407044966673
x22 = -84.8230016469244
x23 = -3.14159265358979
x24 = 17.2787595947439
x25 = 61.261056745001
x26 = 29.845130209103
x27 = -34.5575191894877
x28 = 23.5619449019235
x29 = 9.42477796076938
x30 = 72.2566310325652
x31 = -70.6858347057703
x32 = 65.9734457253857
x33 = 53.4070751110265
x34 = 3.14159265358979
x35 = 84.8230016469244
x36 = -26.7035375555132
x37 = -21.9911485751286
x38 = 92.6769832808989
x39 = -15.707963267949
x40 = -78.5398163397448
x41 = 86.3937979737193
x42 = -59.6902604182061
x43 = -58.1194640914112
x44 = -97.3893722612836
x45 = 28.2743338823081
x46 = 36.1283155162826
x47 = -9.42477796076938
x48 = -45.553093477052
x49 = 97.3893722612836
x50 = -51.8362787842316
x51 = 67.5442420521806
x52 = 54.9778714378214
x53 = 78.5398163397448
x54 = -39.2699081698724
x55 = -76.9690200129499
x56 = -83.2522053201295
x57 = 48.6946861306418
x58 = -40.8407044966673
x59 = -64.4026493985908
x60 = 73.8274273593601
x61 = 59.6902604182061
x62 = -1.5707963267949
x63 = -72.2566310325652
x64 = 98.9601685880785
x65 = -89.5353906273091
x65 = -89.5353906273091
Gráfico
sin(x)+cos(x)=-1 la ecuación