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(2cos2x+sinx–2)√5tgx=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
                            __________    
(2*cos(2*x) + sin(x) - 2)*\/ 5*tan(x)  = 0
$$\sqrt{5 \tan{\left(x \right)}} \left(\left(\sin{\left(x \right)} + 2 \cos{\left(2 x \right)}\right) - 2\right) = 0$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
x1 = 0
$$x_{1} = 0$$ 
x2 = pi
$$x_{2} = \pi$$ 
           /    ____    \
           |  \/ 15    I|
x3 = -I*log|- ------ + -|
           \    4      4/
$$x_{3} = - i \log{\left(- \frac{\sqrt{15}}{4} + \frac{i}{4} \right)}$$ 
           /      ____\
           |I   \/ 15 |
x4 = -I*log|- + ------|
           \4     4   /
$$x_{4} = - i \log{\left(\frac{\sqrt{15}}{4} + \frac{i}{4} \right)}$$ 
x4 = -i*log(sqrt(15)/4 + i/4)
Suma y producto de raíces [src] 
suma
          /    ____    \        /      ____\
          |  \/ 15    I|        |I   \/ 15 |
pi - I*log|- ------ + -| - I*log|- + ------|
          \    4      4/        \4     4   /
$$- i \log{\left(\frac{\sqrt{15}}{4} + \frac{i}{4} \right)} + \left(- i \log{\left(- \frac{\sqrt{15}}{4} + \frac{i}{4} \right)} + \pi\right)$$ 
=
          /    ____    \        /      ____\
          |  \/ 15    I|        |I   \/ 15 |
pi - I*log|- ------ + -| - I*log|- + ------|
          \    4      4/        \4     4   /
$$- i \log{\left(\frac{\sqrt{15}}{4} + \frac{i}{4} \right)} - i \log{\left(- \frac{\sqrt{15}}{4} + \frac{i}{4} \right)} + \pi$$ 
producto
     /      /    ____    \\ /      /      ____\\
     |      |  \/ 15    I|| |      |I   \/ 15 ||
0*pi*|-I*log|- ------ + -||*|-I*log|- + ------||
     \      \    4      4// \      \4     4   //
$$- i \log{\left(\frac{\sqrt{15}}{4} + \frac{i}{4} \right)} 0 \pi \left(- i \log{\left(- \frac{\sqrt{15}}{4} + \frac{i}{4} \right)}\right)$$ 
=
0
$$0$$ 
0
Respuesta numérica [src] 
x1 = 9.42477796114735
x2 = 3.1415926543226
x3 = -28.5270141374502
x4 = 25.3854214838604
x5 = 81.9340892484767
x6 = 40.5880242415252
x7 = 97.1366920061415
x8 = 69.1150383783163
x9 = -34.557519189127
x10 = 46.8712095487048
x11 = 100.530964914767
x12 = -43.9822971502291 + 6.88498732610723e-12*i
x13 = -53.6597553661686
x14 = 31.4159265343836
x15 = -91.1061869526251
x16 = 40.8407044985095
x17 = -56.5486677663576
x18 = -62.8318530725416
x19 = 21.9911485751317
x20 = -97.6420525164257
x21 = -3.1415926518856
x22 = -59.690260418204 + 3.45742071072966e-13*i
x23 = 34.3048389343456
x24 = 84.5703213917823
x25 = 78.2871360846027
x26 = 2.88891239844771
x27 = -62.5791728166538
x28 = -37.6991118430885
x29 = 28.2743338823035
x30 = 44.2349774053992
x31 = -81.6814089933503
x32 = 72.2566310325627
x33 = -93.9950993525517
x34 = 94.2477796076942 + 1.15415751614333e-14*i
x35 = -15.707963267953
x36 = 0.0
x37 = -9.67745821591146
x38 = 91.1061869549002
x39 = -78.539816339401
x40 = 50.2654824574338
x41 = -12.3136903592171
x42 = -28.2743338821754
x43 = 88.2172745556563
x44 = -85.0756819020665
x45 = 37.9517920982196
x46 = -75.3982236863051
x47 = 62.8318530714642
x48 = -72.2566310324437
x49 = -56.2959875094742
x50 = 9.1720977056273
x51 = 65.9734457253951
x52 = 56.5486677644994
x53 = -12.5663706159796
x54 = -47.376570058989
x55 = -34.8101994446298
x56 = -41.0933847518094
x57 = -75.145543431013
x58 = -50.0128022022946
x59 = 63.0845333269379
x60 = 18.8495559211906
x61 = 75.3982236847346
x62 = 15.7079632680934
x63 = 53.1543948558844
x64 = 53.4070751114221
x65 = -18.5968756663967
x66 = 47.1238898046105
x67 = 31.66860679104
x68 = -78.7924965948869
x69 = -24.8800609735763
x70 = -21.9911485751318 + 4.73209926665986e-13*i
x71 = 25.1327412280318
x72 = -47.1238898022627
x73 = -40.8407044959637
x74 = -6.03050505203751
x75 = -25.1327412290834
x76 = 84.8230016489267
x77 = -68.8623581238334
x78 = 19.1022361766808
x79 = -84.8230016462485
x80 = -65.9734457253939 + 1.75797244226204e-12*i
x81 = 12.5663706142316
x82 = 69.3677186341175
x83 = 75.6509039412971
x84 = 59.437580163064
x85 = -91.3588672092461
x86 = 6.28318530717289
x87 = -87.9645943004644 - 1.069202863275e-12*i
x88 = -100.278284659731
x89 = -18.8495559222541
x90 = 59.6902604183625
x91 = -3.39427290873187
x92 = 15.4552830128069 + 1.07669152850779e-17*i
x93 = 90.8535066989619
x94 = -69.1150383793578
x95 = -31.4159265360365
x96 = 97.3893722616972
x96 = 97.3893722616972
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