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sqrt3*sinx+cosx=sqrt2 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
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\/ 3 *sin(x) + cos(x) = \/ 2
$$\sqrt{3} \sin{\left(x \right)} + \cos{\left(x \right)} = \sqrt{2}$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
            /       ___     ___     ___\
x1 = -2*atan\-2 + \/ 2  + \/ 3  - \/ 6 /
$$x_{1} = - 2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)}$$ 
            /      ___     ___     ___\
x2 = -2*atan\2 + \/ 3  - \/ 2  - \/ 6 /
$$x_{2} = - 2 \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)}$$ 
x2 = -2*atan(-sqrt(6) - sqrt(2) + sqrt(3) + 2)
Suma y producto de raíces [src] 
suma
        /       ___     ___     ___\         /      ___     ___     ___\
- 2*atan\-2 + \/ 2  + \/ 3  - \/ 6 / - 2*atan\2 + \/ 3  - \/ 2  - \/ 6 /
$$- 2 \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)} - 2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)}$$ 
=
        /       ___     ___     ___\         /      ___     ___     ___\
- 2*atan\-2 + \/ 2  + \/ 3  - \/ 6 / - 2*atan\2 + \/ 3  - \/ 2  - \/ 6 /
$$- 2 \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)} - 2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)}$$ 
producto
       /       ___     ___     ___\        /      ___     ___     ___\
-2*atan\-2 + \/ 2  + \/ 3  - \/ 6 /*-2*atan\2 + \/ 3  - \/ 2  - \/ 6 /
$$- 2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)} \left(- 2 \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)}\right)$$ 
=
      /       ___     ___     ___\     /      ___     ___     ___\
4*atan\-2 + \/ 2  + \/ 3  - \/ 6 /*atan\2 + \/ 3  - \/ 2  - \/ 6 /
$$4 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)} \operatorname{atan}{\left(- \sqrt{6} - \sqrt{2} + \sqrt{3} + 2 \right)}$$ 
4*atan(-2 + sqrt(2) + sqrt(3) - sqrt(6))*atan(2 + sqrt(3) - sqrt(2) - sqrt(6))
Respuesta numérica [src] 
x1 = 70.9476340935695
x2 = -75.1364242983559
x3 = 75.6600230739542
x4 = 50.5272818452358
x5 = -81.4196096055355
x6 = -31.1541271480988
x7 = 77.2308194007491
x8 = 31.6777259236971
x9 = 0.261799387799149
x10 = -10.7337748997651
x11 = 88.2263936883134
x12 = 100.792764302673
x13 = -35.8665161284835
x14 = 45.8148928648512
x15 = 37.9609112308767
x16 = 25.3945406165175
x17 = -3428.78658200546
x18 = -43.720497762458
x19 = -4.45058959258554
x20 = 12.8281700021583
x21 = 44.2440965380563
x22 = 20.6821516361328
x23 = 63.093652459595
x24 = -6.02138591938044
x25 = -56.2868683768171
x26 = -42.1497014356631
x27 = -73.565627971561
x28 = -67.2824426643814
x29 = -98.6983692002793
x30 = -54.7160720500222
x31 = 83.5140047079287
x32 = 89.7971900151083
x33 = -68.8532389911763
x34 = 94.5095789954929
x35 = -60.9992573572018
x36 = 56.8104671524154
x37 = 58.3812634792103
x38 = -86.1319985859202
x39 = -37.4373124552784
x40 = 4488.02690504082
x41 = -79.8488132787406
x42 = 26.9653369433124
x43 = -24.8709418409192
x44 = -50.0036830696375
x45 = 96.0803753222878
x46 = 8.11578102177363
x47 = 4059.19950782581
x48 = 64.6644487863899
x49 = 1.83259571459405
x50 = -23.3001455141243
x51 = 39.5317075576716
x52 = -111.264739814639
x53 = -62.5700536839967
x54 = 33.248522250492
x55 = -18.5877565337396
x56 = -12.30457122656
x57 = 14.3989663289532
x58 = -87.7027949127151
x59 = -100.269165527074
x60 = -48.4328867428426
x61 = 81.9432083811338
x62 = -17.0169602069447
x63 = 52.0980781720307
x64 = -93.9859802198946
x65 = 69.3768377667746
x66 = 19.1113553093379
x67 = 6.54498469497874
x68 = -29.5833308213039
x69 = -92.4151838930998
x69 = -92.4151838930998
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