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sin(x)+cos(x)=-√2 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
                     ___
sin(x) + cos(x) = -\/ 2 
$$\sin{\left(x \right)} + \cos{\left(x \right)} = - \sqrt{2}$$
Gráfica
Suma y producto de raíces [src]
suma
-3*pi
-----
  4  
$$- \frac{3 \pi}{4}$$
=
-3*pi
-----
  4  
$$- \frac{3 \pi}{4}$$
producto
-3*pi
-----
  4  
$$- \frac{3 \pi}{4}$$
=
-3*pi
-----
  4  
$$- \frac{3 \pi}{4}$$
-3*pi/4
Respuesta rápida [src]
     -3*pi
x1 = -----
       4  
$$x_{1} = - \frac{3 \pi}{4}$$
x1 = -3*pi/4
Respuesta numérica [src]
x1 = -58.9048626385362
x2 = 35.342917690916
x3 = -90.3207892086502
x4 = -21.2057499200041
x5 = -21.2057506833124
x6 = -77.7544181730285
x7 = -115.453529926716
x8 = -96.603974564695
x9 = -2.35619427650782
x10 = 10.2101765935161
x11 = -33.7721210086069
x12 = 79.3252140527191
x13 = -65.188047073324
x14 = 16.4933612943477
x15 = 66.7588444068268
x16 = -71.4712330231824
x17 = -84.0376039723467
x18 = -52.6216766229604
x19 = -14.9225654823937
x20 = 54.1924728859244
x21 = -27.4889358644641
x22 = 10.210176157677
x23 = 16.4933619477574
x24 = -96.6039737800289
x25 = 73.0420288301818
x26 = 85.6084000399172
x27 = 3.92699107435062
x28 = -71.4712323525471
x29 = -58.9048618338034
x30 = -40.0553060529486
x31 = -40.0553062819826
x32 = -46.3384914348609
x33 = 85.6083989845666
x34 = 10.210175749086
x35 = 91.8915846163827
x36 = -2.35619499491606
x37 = 47.9092880431314
x38 = 73.0420296320937
x39 = 35.3429180284231
x40 = -14.9225646783909
x41 = 47.9092881995972
x42 = -52.6216774105457
x43 = -27.4889352022727
x44 = -8.63938025625821
x45 = 16.4933615389937
x46 = 98.1747705007628
x47 = -46.338492146518
x48 = 54.1924733268324
x49 = 91.8915853225807
x50 = 29.0597316738462
x51 = -71.4712326353295
x52 = -13404.3904536702
x53 = 47.909287468617
x54 = 54.1924737371634
x55 = 91.8915852045393
x56 = 29.0597324769089
x57 = 98.1747708802112
x58 = -77.7544176954284
x59 = 41.6261028817504
x60 = -90.320788593313
x61 = -84.0376034462788
x62 = 60.475659097534
x63 = 85.6083993088973
x64 = 60.4756584532596
x65 = -40.0553068257685
x66 = 22.7765464742714
x67 = -33.7721219065776
x68 = 3.92699088103501
x69 = 35.3429168981644
x70 = 60.4756586345947
x71 = 79.3252148477219
x72 = 41.6261019474067
x73 = -33.7721205506926
x74 = -27.4889355511657
x75 = 22.7765472331605
x76 = -77.7544185209968
x77 = -2.35619509671576
x78 = 41.6261021568912
x79 = 98.1747700238345
x80 = -33.7721213865886
x81 = -8.63937946597846
x82 = 3.92699032122665
x83 = -84.0376031821128
x84 = 79.3252143781653
x85 = -90.3207892979081
x86 = -46.3384921486845
x87 = -65.1880478408216
x88 = 66.758843631929
x89 = 66.7588443861661
x89 = 66.7588443861661