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sin(x)*cos(x)+sqrt(3)*sin(x)/2=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                  ___           
                \/ 3 *sin(x)    
sin(x)*cos(x) + ------------ = 0
                     2          
$$\frac{\sqrt{3} \sin{\left(x \right)}}{2} + \sin{\left(x \right)} \cos{\left(x \right)} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
        /   ___________\         /   ___________\
        |  /       ___ |         |  /       ___ |
        |\/  2 + \/ 3  |         |\/  2 + \/ 3  |
- 2*atan|--------------| + 2*atan|--------------|
        |   ___________|         |   ___________|
        |  /       ___ |         |  /       ___ |
        \\/  2 - \/ 3  /         \\/  2 - \/ 3  /
$$- 2 \operatorname{atan}{\left(\frac{\sqrt{\sqrt{3} + 2}}{\sqrt{2 - \sqrt{3}}} \right)} + 2 \operatorname{atan}{\left(\frac{\sqrt{\sqrt{3} + 2}}{\sqrt{2 - \sqrt{3}}} \right)}$$
=
0
$$0$$
producto
         /   ___________\       /   ___________\
         |  /       ___ |       |  /       ___ |
         |\/  2 + \/ 3  |       |\/  2 + \/ 3  |
0*-2*atan|--------------|*2*atan|--------------|
         |   ___________|       |   ___________|
         |  /       ___ |       |  /       ___ |
         \\/  2 - \/ 3  /       \\/  2 - \/ 3  /
$$0 \left(- 2 \operatorname{atan}{\left(\frac{\sqrt{\sqrt{3} + 2}}{\sqrt{2 - \sqrt{3}}} \right)}\right) 2 \operatorname{atan}{\left(\frac{\sqrt{\sqrt{3} + 2}}{\sqrt{2 - \sqrt{3}}} \right)}$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
            /   ___________\
            |  /       ___ |
            |\/  2 + \/ 3  |
x2 = -2*atan|--------------|
            |   ___________|
            |  /       ___ |
            \\/  2 - \/ 3  /
$$x_{2} = - 2 \operatorname{atan}{\left(\frac{\sqrt{\sqrt{3} + 2}}{\sqrt{2 - \sqrt{3}}} \right)}$$
           /   ___________\
           |  /       ___ |
           |\/  2 + \/ 3  |
x3 = 2*atan|--------------|
           |   ___________|
           |  /       ___ |
           \\/  2 - \/ 3  /
$$x_{3} = 2 \operatorname{atan}{\left(\frac{\sqrt{\sqrt{3} + 2}}{\sqrt{2 - \sqrt{3}}} \right)}$$
x3 = 2*atan(sqrt(sqrt(3) + 2)/sqrt(2 - sqrt(3)))
Respuesta numérica [src]
x1 = 12.5663706143592
x2 = 84.2994028713261
x3 = -65.9734457253857
x4 = -65.4498469497874
x5 = -15.707963267949
x6 = -69.1150383789755
x7 = 50.2654824574367
x8 = 81.6814089933346
x9 = 85.3466004225227
x10 = 91.6297857297023
x11 = -56.5486677646163
x12 = -25.1327412287183
x13 = -100.530964914873
x14 = -41.3643032722656
x15 = 18.8495559215388
x16 = -75.398223686155
x17 = -97.9129710368819
x18 = -35.081117965086
x19 = -3.66519142918809
x20 = -52.8834763354282
x21 = 2.61799387799149
x22 = 56.5486677646163
x23 = 47.6474885794452
x24 = 75.398223686155
x25 = 46.6002910282486
x26 = -2.61799387799149
x27 = 35.081117965086
x28 = -59.6902604182061
x29 = -9.94837673636768
x30 = 21.9911485751286
x31 = -47.6474885794452
x32 = 6.28318530717959
x33 = 97.9129710368819
x34 = 62.8318530717959
x35 = -90.5825881785057
x36 = -87.9645943005142
x37 = 15.1843644923507
x38 = 8.90117918517108
x39 = 662.876049907446
x40 = 28.2743338823081
x41 = -79.0634151153431
x42 = 31.4159265358979
x43 = 94.2477796076938
x44 = -72.7802298081635
x45 = -72.2566310325652
x46 = -85.3466004225227
x47 = 37.6991118430775
x48 = -40.317105721069
x49 = -96.8657734856853
x50 = -50.2654824574367
x51 = -94.2477796076938
x52 = -34.0339204138894
x53 = 9.94837673636768
x54 = 60.2138591938044
x55 = -37.6991118430775
x56 = 96.8657734856853
x57 = 90.5825881785057
x58 = 78.0162175641465
x59 = -91.6297857297023
x60 = 47.1238898038469
x61 = -46.6002910282486
x62 = 53.9306738866248
x63 = 2699.15168820923
x64 = -12.5663706143592
x65 = 3.66519142918809
x66 = -8.90117918517108
x67 = -81.6814089933346
x68 = 43.9822971502571
x69 = 41.3643032722656
x70 = -31.4159265358979
x71 = 0.0
x72 = -53.9306738866248
x73 = -21.9911485751286
x74 = 16.2315620435473
x75 = -78.0162175641465
x76 = 100.530964914873
x77 = 65.9734457253857
x78 = 40.317105721069
x79 = 79.0634151153431
x80 = -6.28318530717959
x81 = -71.733032256967
x82 = -27.7507351067098
x83 = -43.9822971502571
x84 = 34.0339204138894
x85 = -84.2994028713261
x86 = -28.7979326579064
x87 = 52.8834763354282
x88 = 72.2566310325652
x89 = 59.1666616426078
x90 = 87.9645943005142
x90 = 87.9645943005142