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sinx-cosx=1/2 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(x) - cos(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 /
$$- 2 \operatorname{atan}{\left(2 - \sqrt{7} \right)} \left(- 2 \operatorname{atan}{\left(2 + \sqrt{7} \right)}\right)$$
=
      /      ___\     /      ___\
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 = -30.2691612485938
x2 = 13.7131359016633
x3 = 85.2470326864152
x4 = -55.4019024773121
x5 = -36.5523465557734
x6 = -17.7027906342346
x7 = 63.9786183591
x8 = -42.8355318629529
x9 = -61.6850877844917
x10 = -86.8178290132101
x11 = 26.2795065160225
x12 = -9.00074692127864
x13 = -2.71756161409905
x14 = -96.9653412217929
x15 = 7.42995059448374
x16 = 41.264735536158
x17 = 34.9815502289785
x18 = -78.1157853002541
x19 = 3.56562369308053
x20 = 91.5302179935947
x21 = 1.14676528730416
x22 = 660.881222541161
x23 = 70.2618036662796
x24 = -11.419605327055
x25 = 16.1319943074397
x26 = 51.4122477447408
x27 = -23.9859759414142
x28 = -15.2839322284582
x29 = 72.680662072056
x30 = -90.6821559146133
x31 = -84.3989706074337
x32 = 32.5626918232021
x33 = -49.1187171701325
x34 = 76.5449889734592
x35 = -65.5494146858949
x36 = -59.2662293787153
x37 = 60.1142914576968
x38 = 28.6983649217989
x39 = 9.84880900026012
x40 = -80.5346437060305
x41 = 104.096588607954
x42 = -21.5671175356378
x43 = 22.4151796146193
x44 = 361.707186202317
x45 = 47.5479208433376
x46 = 53.8311061505172
x47 = -71.8325999930745
x48 = -67.9682730916713
x49 = 57.6954330519204
x50 = -74.2514583988509
x51 = -5.13642001987543
x52 = 95.3945448949979
x53 = 19.9963212088429
x54 = 66.3974767648764
x55 = -27.8503028428174
x56 = -46.6998587643562
x57 = -93.1010143203896
x58 = -52.9830440715357
x59 = -34.133488149997
x60 = -40.4166734571766
x61 = 82.8281742806388
x62 = 97.8134033007743
x63 = 89.1113595878184
x64 = -99.3841996275692
x65 = 38.8458771303817
x66 = 45.1290624375613
x67 = 78.9638473792356
x67 = 78.9638473792356