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(5sin^2(x)-3sin(x))/(5cos(x)+4)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
     2                  
5*sin (x) - 3*sin(x)    
-------------------- = 0
    5*cos(x) + 4        
5sin2(x)3sin(x)5cos(x)+4=0\frac{5 \sin^{2}{\left(x \right)} - 3 \sin{\left(x \right)}}{5 \cos{\left(x \right)} + 4} = 0
Gráfica
0-80-60-40-2020406080-100100-50005000
Suma y producto de raíces [src]
suma
pi + asin(3/5)
asin(35)+π\operatorname{asin}{\left(\frac{3}{5} \right)} + \pi
=
pi + asin(3/5)
asin(35)+π\operatorname{asin}{\left(\frac{3}{5} \right)} + \pi
producto
0*pi*asin(3/5)
0πasin(35)0 \pi \operatorname{asin}{\left(\frac{3}{5} \right)}
=
0
00
0
Respuesta rápida [src]
x1 = 0
x1=0x_{1} = 0
x2 = pi
x2=πx_{2} = \pi
x3 = asin(3/5)
x3=asin(35)x_{3} = \operatorname{asin}{\left(\frac{3}{5} \right)}
x3 = asin(3/5)
Respuesta numérica [src]
x1 = -97.3893722612836
x2 = -43.9822971502571
x3 = 82.3249101021279
x4 = -74.7547225773617
x5 = 56.5486677646163
x6 = 38.3426129518708
x7 = 28.2743338823081
x8 = -81.6814089933346
x9 = 13.2098717231525
x10 = 25.7762423375116
x11 = -15.707963267949
x12 = 72.2566310325652
x13 = 6.92668641597287
x14 = 69.7585394877687
x15 = -53.4070751110265
x16 = -18.8495559215388
x17 = 25.1327412287183
x18 = -55.905166655823
x19 = 100.530964914873
x20 = -9.42477796076938
x21 = 81.6814089933346
x22 = 69.1150383789755
x23 = -21.9911485751286
x24 = 440.466472611364
x25 = 76.0417247949483
x26 = -24.4892401199251
x27 = -30.7724254271046
x28 = -72.2566310325652
x29 = 44.6257982590504
x30 = 15.707963267949
x31 = 50.2654824574367
x32 = -28.2743338823081
x33 = -62.8318530717959
x34 = -6.28318530717959
x35 = -25.1327412287183
x36 = -11.9228695055659
x37 = -68.4715372701822
x38 = -99.8874638060801
x39 = 113.740836638026
x40 = -87.9645943005142
x41 = 94.8912807164871
x42 = 19.493057030332
x43 = 0.0
x44 = 1715.95308996882
x45 = 31.4159265358979
x46 = -81.0379078845413
x47 = -65.9734457253857
x48 = 18.8495559215388
x49 = 6.28318530717959
x50 = 63.4753541805892
x51 = 94.2477796076938
x52 = 65.9734457253857
x53 = -56.5486677646163
x54 = 21.9911485751286
x55 = -18.2060548127455
x56 = 57.1921688734096
x57 = -93.6042784989005
x58 = 78.5398163397448
x59 = 75.398223686155
x60 = 87.9645943005142
x61 = 12.5663706143592
x62 = -49.6219813486434
x63 = -37.0556107342842
x64 = -37.6991118430775
x65 = -12.5663706143592
x66 = -5.6396841983863
x67 = 59.6902604182061
x68 = 43.9822971502571
x69 = -50.2654824574367
x70 = 37.6991118430775
x71 = -59.6902604182061
x72 = -75.398223686155
x73 = -69.1150383789755
x74 = 32.0594276446912
x75 = 62.8318530717959
x76 = -62.1883519630026
x77 = 50.90898356623
x78 = -94.2477796076938
x79 = 34.5575191894877
x80 = -31.4159265358979
x80 = -31.4159265358979