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2*sin(x)+cos(x)=-1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
2*sin(x) + cos(x) = -1
$$2 \sin{\left(x \right)} + \cos{\left(x \right)} = -1$$
Gráfica
Suma y producto de raíces [src]
suma
-2*atan(1/2)
$$- 2 \operatorname{atan}{\left(\frac{1}{2} \right)}$$
=
-2*atan(1/2)
$$- 2 \operatorname{atan}{\left(\frac{1}{2} \right)}$$
producto
-2*atan(1/2)
$$- 2 \operatorname{atan}{\left(\frac{1}{2} \right)}$$
=
-2*atan(1/2)
$$- 2 \operatorname{atan}{\left(\frac{1}{2} \right)}$$
-2*atan(1/2)
Respuesta rápida [src]
x1 = -2*atan(1/2)
$$x_{1} = - 2 \operatorname{atan}{\left(\frac{1}{2} \right)}$$
x1 = -2*atan(1/2)
Respuesta numérica [src]
x1 = -34227.6519608608
x2 = 65.9734457253857
x3 = 99.6036696968718
x4 = -91.106186954104
x5 = -59.6902604182061
x6 = -21.9911485751286
x7 = 21.9911485751286
x8 = 87.0372990825126
x9 = 61.9045578537943
x10 = 3.14159265358979
x11 = -70.0423335969771
x12 = -0.927295218001612
x13 = -3.14159265358979
x14 = -15.707963267949
x15 = -53.4070751110265
x16 = -72.2566310325652
x17 = 84.8230016469244
x18 = -57.4759629826179
x19 = -76.3255189041567
x20 = -82.6087042113362
x21 = 55.6213725466147
x22 = -65.9734457253857
x23 = -95.1750748256954
x24 = 9.42477796076938
x25 = -40.8407044966673
x26 = 34.5575191894877
x27 = 97.3893722612836
x28 = 17.9222607035371
x29 = 53.4070751110265
x30 = 74.4709284681534
x31 = -44.9095923682587
x32 = 59.6902604182061
x33 = -28.2743338823081
x34 = 49.3381872394351
x35 = 68.1877431609738
x36 = 11.6390753963576
x37 = 15.707963267949
x38 = 91.106186954104
x39 = -32.3432217538995
x40 = -13.4936658323608
x41 = -19.7768511395404
x42 = -88.8918895185158
x43 = 43.0550019322555
x44 = -292.168116783851
x45 = -47.1238898038469
x46 = 72.2566310325652
x47 = 36.7718166250759
x48 = -51.1927776754383
x49 = -34.5575191894877
x50 = -97.3893722612836
x51 = 30.4886313178963
x52 = -7.2104805251812
x53 = 40.8407044966673
x54 = -9.42477796076938
x55 = 78.5398163397448
x56 = -63.7591482897975
x57 = 5.35589008917797
x58 = 24.2054460107167
x59 = -78.5398163397448
x60 = -38.6264070610791
x61 = -26.06003644672
x62 = 47.1238898038469
x63 = 28.2743338823081
x64 = 80.754113775333
x65 = 93.3204843896922
x66 = -84.8230016469244
x66 = -84.8230016469244