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

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
  /    /    pi\\    /    3*pi\     ___       
2*|-sin|x - --||*cos|x + ----| = \/ 3 *sin(x)
  \    \    2 //    \     2  /               
$$2 \left(- \sin{\left(x - \frac{\pi}{2} \right)}\right) \cos{\left(x + \frac{3 \pi}{2} \right)} = \sqrt{3} \sin{\left(x \right)}$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
            /   ___________\
            |  /       ___ |
            |\/  2 - \/ 3  |
x2 = -2*atan|--------------|
            |   ___________|
            |  /       ___ |
            \\/  2 + \/ 3  /
$$x_{2} = - 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{3}}}{\sqrt{\sqrt{3} + 2}} \right)}$$
           /   ___________\
           |  /       ___ |
           |\/  2 - \/ 3  |
x3 = 2*atan|--------------|
           |   ___________|
           |  /       ___ |
           \\/  2 + \/ 3  /
$$x_{3} = 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{3}}}{\sqrt{\sqrt{3} + 2}} \right)}$$
x3 = 2*atan(sqrt(2 - sqrt(3))/sqrt(sqrt(3) + 2))
Suma y producto de raíces [src]
suma
        /   ___________\         /   ___________\
        |  /       ___ |         |  /       ___ |
        |\/  2 - \/ 3  |         |\/  2 - \/ 3  |
- 2*atan|--------------| + 2*atan|--------------|
        |   ___________|         |   ___________|
        |  /       ___ |         |  /       ___ |
        \\/  2 + \/ 3  /         \\/  2 + \/ 3  /
$$- 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{3}}}{\sqrt{\sqrt{3} + 2}} \right)} + 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{3}}}{\sqrt{\sqrt{3} + 2}} \right)}$$
=
0
$$0$$
producto
         /   ___________\       /   ___________\
         |  /       ___ |       |  /       ___ |
         |\/  2 - \/ 3  |       |\/  2 - \/ 3  |
0*-2*atan|--------------|*2*atan|--------------|
         |   ___________|       |   ___________|
         |  /       ___ |       |  /       ___ |
         \\/  2 + \/ 3  /       \\/  2 + \/ 3  /
$$0 \left(- 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{3}}}{\sqrt{\sqrt{3} + 2}} \right)}\right) 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{3}}}{\sqrt{\sqrt{3} + 2}} \right)}$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = -75.9218224617533
x2 = -62.3082542961976
x3 = -24.60914245312
x4 = -5.75958653158129
x5 = -94.7713783832921
x6 = 59.6902604182061
x7 = 37.1755130674792
x8 = 13.0899693899575
x9 = 12.0427718387609
x10 = 34.5575191894877
x11 = -6490.53042231651
x12 = -21.9911485751286
x13 = 24.60914245312
x14 = 15.707963267949
x15 = -50.789081233035
x16 = -91.106186954104
x17 = -87.4409955249159
x18 = -81.6814089933346
x19 = 100.007366139275
x20 = -49.7418836818384
x21 = 69.6386371545737
x22 = 103.672557568463
x23 = -43.4586983746588
x24 = 30.8923277602996
x25 = -59.6902604182061
x26 = -56.025068989018
x27 = -74.8746249105567
x28 = -43.9822971502571
x29 = 63.3554518473942
x30 = 31.9395253114962
x31 = 43.9822971502571
x32 = -3.14159265358979
x33 = -15.707963267949
x34 = -101.054563690472
x35 = 9.42477796076938
x36 = 74.8746249105567
x37 = -81.1578102177363
x38 = 0.0
x39 = -65.9734457253857
x40 = -62.8318530717959
x41 = 19.3731546971371
x42 = -28.2743338823081
x43 = -12.0427718387609
x44 = -68.5914396033772
x45 = 68.5914396033772
x46 = 82.2050077689329
x47 = 56.025068989018
x48 = -57.0722665402146
x49 = 28.2743338823081
x50 = 65.9734457253857
x51 = 40.8407044966673
x52 = -18.3259571459405
x53 = -25.6563400043166
x54 = 25.6563400043166
x55 = -47.1238898038469
x56 = -87.9645943005142
x57 = -30.8923277602996
x58 = 57.0722665402146
x59 = -97.3893722612836
x60 = 94.2477796076938
x61 = 84.8230016469244
x62 = 38.2227106186758
x63 = 72.2566310325652
x64 = 75.9218224617533
x65 = -9.42477796076938
x66 = 18.3259571459405
x67 = -6.80678408277789
x68 = -100.007366139275
x69 = 107.337748997651
x70 = 6.28318530717959
x71 = -53.4070751110265
x72 = 21.9911485751286
x73 = 87.9645943005142
x74 = -72.2566310325652
x75 = 50.2654824574367
x76 = 53.4070751110265
x77 = 97.3893722612836
x78 = 62.3082542961976
x79 = -37.6991118430775
x80 = -13.0899693899575
x81 = 78.5398163397448
x82 = -19.3731546971371
x83 = -69.6386371545737
x84 = -78.5398163397448
x85 = 81.1578102177363
x86 = -63.3554518473942
x87 = 8601.68068552885
x88 = -93.7241808320955
x89 = -31.9395253114962
x90 = -34.5575191894877
x90 = -34.5575191894877