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sin(x)^(2)-3*sin(x)*cos(x)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
   2                         
sin (x) - 3*sin(x)*cos(x) = 0
sin⁡2(x)−3sin⁡(x)cos⁡(x)=0\sin^{2}{\left(x \right)} - 3 \sin{\left(x \right)} \cos{\left(x \right)} = 0
Simplificar
Gráfica
0-80-60-40-2020406080-1001005-5
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
x1 = 0
x1=0x_{1} = 0 
            /      ____\
            |1   \/ 10 |
x2 = -2*atan|- - ------|
            \3     3   /
x2=−2atan⁡(13−103)x_{2} = - 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} 
            /      ____\
            |1   \/ 10 |
x3 = -2*atan|- + ------|
            \3     3   /
x3=−2atan⁡(13+103)x_{3} = - 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)} 
x3 = -2*atan(1/3 + sqrt(10)/3)
Suma y producto de raíces [src] 
suma
        /      ____\         /      ____\
        |1   \/ 10 |         |1   \/ 10 |
- 2*atan|- - ------| - 2*atan|- + ------|
        \3     3   /         \3     3   /
−2atan⁡(13+103)−2atan⁡(13−103)- 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)} - 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} 
=
        /      ____\         /      ____\
        |1   \/ 10 |         |1   \/ 10 |
- 2*atan|- - ------| - 2*atan|- + ------|
        \3     3   /         \3     3   /
−2atan⁡(13+103)−2atan⁡(13−103)- 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)} - 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} 
producto
         /      ____\        /      ____\
         |1   \/ 10 |        |1   \/ 10 |
0*-2*atan|- - ------|*-2*atan|- + ------|
         \3     3   /        \3     3   /
0(−2atan⁡(13−103))(−2atan⁡(13+103))0 \left(- 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)}\right) \left(- 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}\right) 
=
0
00 
0
Respuesta numérica [src] 
x1 = 12.5663706143592
x2 = 78.5398163397448
x3 = -39.5916587242691
x4 = -65.9734457253857
x5 = 70.3640841513737
x6 = -15.707963267949
x7 = 50.2654824574367
x8 = 81.6814089933346
x9 = -17.6005101491405
x10 = -25.1327412287183
x11 = 86.0720474193227
x12 = 18.8495559215388
x13 = -75.398223686155
x14 = -8.17573218837112
x15 = -14.4589174955507
x16 = -52.1580293386282
x17 = 56.5486677646163
x18 = -83.5739558745262
x19 = 98.6384180336818
x20 = 7.53223107957784
x21 = -74.1491779137568
x22 = -49.0164366850384
x23 = 15.707963267949
x24 = -58.4412146458078
x25 = -30.1668807634997
x26 = 92.3552327265023
x27 = 48.3729355762452
x28 = -59.6902604182061
x29 = 21.9911485751286
x30 = 6.28318530717959
x31 = 42.0897502690656
x32 = 62.8318530717959
x33 = -87.9645943005142
x34 = -28.2743338823081
x35 = -9.42477796076938
x36 = 59.6902604182061
x37 = -96.1403264888853
x38 = 26.3817870011166
x39 = 28.2743338823081
x40 = -3.14159265358979
x41 = 31.4159265358979
x42 = 94.2477796076938
x43 = -45.8748440314486
x44 = -72.2566310325652
x45 = -67.8659926065772
x46 = -23.8836954563201
x47 = -97.3893722612836
x48 = 37.6991118430775
x49 = 4.39063842598805
x50 = -36.4500660706793
x51 = -50.2654824574367
x52 = -94.2477796076938
x53 = 64.0808988441941
x54 = -80.4323632209364
x55 = 79.7888621121431
x56 = 57.7977135370145
x57 = -37.6991118430775
x58 = -1.89254688119154
x59 = 73.5056768049635
x60 = 51.5145282298349
x61 = 13.8154163867574
x62 = -89.8571411817058
x63 = -81.6814089933346
x64 = 43.9822971502571
x65 = -61.5828072993976
x66 = 35.806564961886
x67 = 54.6561208834247
x68 = -31.4159265358979
x69 = 0.0
x70 = -21.9911485751286
x71 = 100.530964914873
x72 = 34.5575191894877
x73 = 65.9734457253857
x74 = 76.6472694585533
x75 = -53.4070751110265
x76 = 40.8407044966673
x77 = 95.496825380092
x78 = -6.28318530717959
x79 = -43.9822971502571
x80 = 29.5233796547064
x81 = 7782.97404871432
x82 = 20.098601693937
x83 = 84.8230016469244
x84 = 72.2566310325652
x85 = 87.9645943005142
x85 = 87.9645943005142
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