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(29*(sinx)^2-20*sinx)/(29*cosx+21)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
      2                   
29*sin (x) - 20*sin(x)    
---------------------- = 0
    29*cos(x) + 21        
$$\frac{29 \sin^{2}{\left(x \right)} - 20 \sin{\left(x \right)}}{29 \cos{\left(x \right)} + 21} = 0$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
x2 = pi
$$x_{2} = \pi$$
         /20\
x3 = asin|--|
         \29/
$$x_{3} = \operatorname{asin}{\left(\frac{20}{29} \right)}$$
x3 = asin(20/29)
Suma y producto de raíces [src]
suma
         /20\
pi + asin|--|
         \29/
$$\operatorname{asin}{\left(\frac{20}{29} \right)} + \pi$$
=
         /20\
pi + asin|--|
         \29/
$$\operatorname{asin}{\left(\frac{20}{29} \right)} + \pi$$
producto
         /20\
0*pi*asin|--|
         \29/
$$0 \pi \operatorname{asin}{\left(\frac{20}{29} \right)}$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = -59.6902604182061
x2 = -21.9911485751286
x3 = -5.52217255295486
x4 = -75.398223686155
x5 = -56.5486677646163
x6 = 50.2654824574367
x7 = 95.0087923619185
x8 = 34.5575191894877
x9 = 51.0264952116614
x10 = -18.8495559215388
x11 = -307.115067297575
x12 = 25.1327412287183
x13 = 7.04419806140432
x14 = 0.0
x15 = -34.5575191894877
x16 = 43.9822971502571
x17 = -43.9822971502571
x18 = 57.309680518841
x19 = 97.3893722612836
x20 = -18.088543167314
x21 = -65.9734457253857
x22 = -69.1150383789755
x23 = 13.3273833685839
x24 = 56.5486677646163
x25 = -87.9645943005142
x26 = 18.8495559215388
x27 = 62.8318530717959
x28 = 47.1238898038469
x29 = -74.6372109319303
x30 = 53.4070751110265
x31 = -99.7699521606487
x32 = 87.9645943005142
x33 = 59.6902604182061
x34 = 32.1769392901227
x35 = 31.4159265358979
x36 = -81.6814089933346
x37 = -2943.67231641364
x38 = 72.2566310325652
x39 = -9.42477796076938
x40 = -72.2566310325652
x41 = 81.6814089933346
x42 = -31.4159265358979
x43 = 9.42477796076938
x44 = 76.1592364403798
x45 = -24.3717284744936
x46 = -94.2477796076938
x47 = -68.3540256247507
x48 = -50.2654824574367
x49 = 28.2743338823081
x50 = 25.8937539829431
x51 = -62.8318530717959
x52 = 100.530964914873
x53 = -53.4070751110265
x54 = 94.2477796076938
x55 = -62.0708403175711
x56 = 21.9911485751286
x57 = -80.9203962391099
x58 = -15.707963267949
x59 = -36.9380990888528
x60 = 65.9734457253857
x61 = -6.28318530717959
x62 = 113.097335529233
x63 = 38.4601245973022
x64 = -55.7876550103915
x65 = 78.5398163397448
x66 = 15.707963267949
x67 = 37.6991118430775
x68 = 69.8760511332002
x69 = -97.3893722612836
x70 = 19.6105686757635
x71 = -78.5398163397448
x72 = -25.1327412287183
x73 = 82.4424217475594
x74 = -30.6549137816732
x75 = 6.28318530717959
x76 = -28.2743338823081
x77 = 12.5663706143592
x78 = 63.5928658260206
x79 = 69.1150383789755
x80 = 75.398223686155
x81 = -37.6991118430775
x82 = -12.5663706143592
x83 = -11.8053578601344
x83 = -11.8053578601344