Sr Examen

cosx+sinx=-0,5 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cos(x) + sin(x) = -1/2
$$\sin{\left(x \right)} + \cos{\left(x \right)} = - \frac{1}{2}$$
Gráfica
Suma y producto de raíces [src]
suma
      /      ___\         /      ___\
2*atan\2 - \/ 7 / + 2*atan\2 + \/ 7 /
$$2 \operatorname{atan}{\left(2 - \sqrt{7} \right)} + 2 \operatorname{atan}{\left(2 + \sqrt{7} \right)}$$
=
      /      ___\         /      ___\
2*atan\2 + \/ 7 / + 2*atan\2 - \/ 7 /
$$2 \operatorname{atan}{\left(2 - \sqrt{7} \right)} + 2 \operatorname{atan}{\left(2 + \sqrt{7} \right)}$$
producto
      /      ___\       /      ___\
2*atan\2 - \/ 7 /*2*atan\2 + \/ 7 /
$$2 \operatorname{atan}{\left(2 - \sqrt{7} \right)} 2 \operatorname{atan}{\left(2 + \sqrt{7} \right)}$$
=
      /      ___\     /      ___\
4*atan\2 + \/ 7 /*atan\2 - \/ 7 /
$$4 \operatorname{atan}{\left(2 - \sqrt{7} \right)} \operatorname{atan}{\left(2 + \sqrt{7} \right)}$$
4*atan(2 + sqrt(7))*atan(2 - sqrt(7))
Respuesta rápida [src]
           /      ___\
x1 = 2*atan\2 - \/ 7 /
$$x_{1} = 2 \operatorname{atan}{\left(2 - \sqrt{7} \right)}$$
           /      ___\
x2 = 2*atan\2 + \/ 7 /
$$x_{2} = 2 \operatorname{atan}{\left(2 + \sqrt{7} \right)}$$
x2 = 2*atan(2 + sqrt(7))
Respuesta numérica [src]
x1 = -57.6954330519204
x2 = 49.1187171701325
x3 = -66.3974767648764
x4 = 84.3989706074337
x5 = 90.6821559146133
x6 = -41.264735536158
x7 = 46.6998587643562
x8 = 96.9653412217929
x9 = 17.7027906342346
x10 = -76.5449889734592
x11 = -45.1290624375613
x12 = 99.3841996275692
x13 = 55.4019024773121
x14 = -70.2618036662796
x15 = -53.8311061505172
x16 = 80.5346437060305
x17 = 42.8355318629529
x18 = -47.5479208433376
x19 = 61.6850877844917
x20 = -60.1142914576968
x21 = -22.4151796146193
x22 = -85.2470326864152
x23 = -110.379773915133
x24 = 52.9830440715357
x25 = -14188.5791888988
x26 = 71.8325999930745
x27 = -38.8458771303817
x28 = 86.8178290132101
x29 = -28.6983649217989
x30 = 15.2839322284582
x31 = -63.9786183591
x32 = -16.1319943074397
x33 = -89.1113595878184
x34 = 23.9859759414142
x35 = 2.71756161409905
x36 = -95.3945448949979
x37 = 30.2691612485938
x38 = 8730.06195328654
x39 = -32.5626918232021
x40 = 34.133488149997
x41 = -34.9815502289785
x42 = 59.2662293787153
x43 = 11.419605327055
x44 = 40.4166734571766
x45 = -78.9638473792356
x46 = 74.2514583988509
x47 = -13.7131359016633
x48 = 78.1157853002541
x49 = -97.8134033007743
x50 = -26.2795065160225
x51 = -9.84880900026012
x52 = -3.56562369308053
x53 = -7.42995059448374
x54 = 9.00074692127864
x55 = -51.4122477447408
x56 = 67.9682730916713
x57 = 140.94763837205
x58 = 93.1010143203896
x59 = -19.9963212088429
x60 = -91.5302179935947
x61 = -82.8281742806388
x62 = 27.8503028428174
x63 = -72.680662072056
x64 = 5.13642001987543
x65 = -1.14676528730416
x66 = 65.5494146858949
x67 = 36.5523465557734
x68 = 21.5671175356378
x68 = 21.5671175356378