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

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Solución numérica:

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Solución

Ha introducido [src]
     2                       
2*sin (x) + cos(x)*sin(x) = 0
$$2 \sin^{2}{\left(x \right)} + \sin{\left(x \right)} \cos{\left(x \right)} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
      /      ___\         /      ___\
2*atan\2 - \/ 5 / + 2*atan\2 + \/ 5 /
$$2 \operatorname{atan}{\left(2 - \sqrt{5} \right)} + 2 \operatorname{atan}{\left(2 + \sqrt{5} \right)}$$
=
      /      ___\         /      ___\
2*atan\2 + \/ 5 / + 2*atan\2 - \/ 5 /
$$2 \operatorname{atan}{\left(2 - \sqrt{5} \right)} + 2 \operatorname{atan}{\left(2 + \sqrt{5} \right)}$$
producto
        /      ___\       /      ___\
0*2*atan\2 - \/ 5 /*2*atan\2 + \/ 5 /
$$0 \cdot 2 \operatorname{atan}{\left(2 - \sqrt{5} \right)} 2 \operatorname{atan}{\left(2 + \sqrt{5} \right)}$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
           /      ___\
x2 = 2*atan\2 - \/ 5 /
$$x_{2} = 2 \operatorname{atan}{\left(2 - \sqrt{5} \right)}$$
           /      ___\
x3 = 2*atan\2 + \/ 5 /
$$x_{3} = 2 \operatorname{atan}{\left(2 + \sqrt{5} \right)}$$
x3 = 2*atan(2 + sqrt(5))
Respuesta numérica [src]
x1 = -43.9822971502571
x2 = -79.0034639487456
x3 = 223.053078404875
x4 = -3.6052402625906
x5 = -41.3043521056681
x6 = -97.8530198702844
x7 = 28.2743338823081
x8 = 96.9257246522828
x9 = -81.6814089933346
x10 = -15.707963267949
x11 = 72.2566310325652
x12 = 52.9434275020257
x13 = 65.5097981163849
x14 = -85.2866492559252
x15 = -53.4070751110265
x16 = -18.8495559215388
x17 = 46.6602421948461
x18 = 25.1327412287183
x19 = -19.3132035305396
x20 = 74.9345760771542
x21 = 81.6814089933346
x22 = -69.5786859879763
x23 = -21.9911485751286
x24 = 56.0850201556155
x25 = -53.8707227200273
x26 = -78.5398163397448
x27 = -72.7202786415661
x28 = 53.4070751110265
x29 = -72.2566310325652
x30 = -355.463617464647
x31 = -57.0123153736171
x32 = 15.707963267949
x33 = 50.2654824574367
x34 = -28.2743338823081
x35 = -62.8318530717959
x36 = 37.2354642340767
x37 = -6.28318530717959
x38 = 15.2443156589482
x39 = 68.6513907699746
x40 = 3.14159265358979
x41 = -84.8230016469244
x42 = 62.3682054627951
x43 = -47.5875374128477
x44 = -87.9645943005142
x45 = -34.5575191894877
x46 = 0.0
x47 = 34.0938715804869
x48 = 31.4159265358979
x49 = -63.2955006807967
x50 = -65.9734457253857
x51 = 90.6425393451032
x52 = 18.8495559215388
x53 = -9.88842556977019
x54 = 6.28318530717959
x55 = 100.067317305873
x56 = 94.2477796076938
x57 = 65.9734457253857
x58 = -56.5486677646163
x59 = 21.9911485751286
x60 = 18.385908312538
x61 = -1835.15375730544
x62 = 24.6690936197175
x63 = -31.8795741448987
x64 = 12.1027230053584
x65 = 30.9522789268971
x66 = 2.67794504458899
x67 = -35.0211667984885
x68 = 75.398223686155
x69 = 87.9645943005142
x70 = -91.5698345631048
x71 = -25.5963888377192
x72 = -37.6991118430775
x73 = -12.5663706143592
x74 = 194.315096913566
x75 = 97.3893722612836
x76 = 78.076168730744
x77 = 40.3770568876665
x78 = -100.530964914873
x79 = 59.6902604182061
x80 = 84.3593540379236
x81 = 43.9822971502571
x82 = -50.2654824574367
x83 = 37.6991118430775
x84 = -301.59289474462
x85 = -40.8407044966673
x86 = -59.6902604182061
x87 = 9.42477796076938
x88 = 2588.67234655799
x89 = -270.640615817723
x90 = -13.03001822336
x91 = 8.96113035176857
x92 = -817226.102218576
x93 = -94.2477796076938
x94 = -75.8618712951559
x94 = -75.8618712951559