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12cot(x)-cos(2x)-1=2sin(2x) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
12*cot(x) - cos(2*x) - 1 = 2*sin(2*x)
$$\left(- \cos{\left(2 x \right)} + 12 \cot{\left(x \right)}\right) - 1 = 2 \sin{\left(2 x \right)}$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
         /    /        ____\\     /    /        ____\\
         |    |1   I*\/ 95 ||     |    |1   I*\/ 95 ||
x1 = I*im|atan|- - --------|| + re|atan|- - --------||
         \    \8      8    //     \    \8      8    //
$$x_{1} = \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{8} - \frac{\sqrt{95} i}{8} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{8} - \frac{\sqrt{95} i}{8} \right)}\right)}$$ 
         /    /        ____\\     /    /        ____\\
         |    |1   I*\/ 95 ||     |    |1   I*\/ 95 ||
x2 = I*im|atan|- + --------|| + re|atan|- + --------||
         \    \8      8    //     \    \8      8    //
$$x_{2} = \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{8} + \frac{\sqrt{95} i}{8} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{8} + \frac{\sqrt{95} i}{8} \right)}\right)}$$ 
x2 = re(atan(1/8 + sqrt(95)*i/8)) + i*im(atan(1/8 + sqrt(95)*i/8))
Suma y producto de raíces [src] 
suma
    /    /        ____\\     /    /        ____\\       /    /        ____\\     /    /        ____\\
    |    |1   I*\/ 95 ||     |    |1   I*\/ 95 ||       |    |1   I*\/ 95 ||     |    |1   I*\/ 95 ||
I*im|atan|- - --------|| + re|atan|- - --------|| + I*im|atan|- + --------|| + re|atan|- + --------||
    \    \8      8    //     \    \8      8    //       \    \8      8    //     \    \8      8    //
$$\left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{8} - \frac{\sqrt{95} i}{8} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{8} - \frac{\sqrt{95} i}{8} \right)}\right)}\right) + \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{8} + \frac{\sqrt{95} i}{8} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{8} + \frac{\sqrt{95} i}{8} \right)}\right)}\right)$$ 
=
    /    /        ____\\       /    /        ____\\     /    /        ____\\     /    /        ____\\
    |    |1   I*\/ 95 ||       |    |1   I*\/ 95 ||     |    |1   I*\/ 95 ||     |    |1   I*\/ 95 ||
I*im|atan|- - --------|| + I*im|atan|- + --------|| + re|atan|- - --------|| + re|atan|- + --------||
    \    \8      8    //       \    \8      8    //     \    \8      8    //     \    \8      8    //
$$\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{8} - \frac{\sqrt{95} i}{8} \right)}\right)} + \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{8} + \frac{\sqrt{95} i}{8} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{8} - \frac{\sqrt{95} i}{8} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{8} + \frac{\sqrt{95} i}{8} \right)}\right)}$$ 
producto
/    /    /        ____\\     /    /        ____\\\ /    /    /        ____\\     /    /        ____\\\
|    |    |1   I*\/ 95 ||     |    |1   I*\/ 95 ||| |    |    |1   I*\/ 95 ||     |    |1   I*\/ 95 |||
|I*im|atan|- - --------|| + re|atan|- - --------|||*|I*im|atan|- + --------|| + re|atan|- + --------|||
\    \    \8      8    //     \    \8      8    /// \    \    \8      8    //     \    \8      8    ///
$$\left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{8} - \frac{\sqrt{95} i}{8} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{8} - \frac{\sqrt{95} i}{8} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{8} + \frac{\sqrt{95} i}{8} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{8} + \frac{\sqrt{95} i}{8} \right)}\right)}\right)$$ 
=
/    /    /        ____\\     /    /        ____\\\ /    /    /        ____\\     /    /        ____\\\
|    |    |1   I*\/ 95 ||     |    |1   I*\/ 95 ||| |    |    |1   I*\/ 95 ||     |    |1   I*\/ 95 |||
|I*im|atan|- - --------|| + re|atan|- - --------|||*|I*im|atan|- + --------|| + re|atan|- + --------|||
\    \    \8      8    //     \    \8      8    /// \    \    \8      8    //     \    \8      8    ///
$$\left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{8} - \frac{\sqrt{95} i}{8} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{8} - \frac{\sqrt{95} i}{8} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{8} + \frac{\sqrt{95} i}{8} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{8} + \frac{\sqrt{95} i}{8} \right)}\right)}\right)$$ 
(i*im(atan(1/8 - i*sqrt(95)/8)) + re(atan(1/8 - i*sqrt(95)/8)))*(i*im(atan(1/8 + i*sqrt(95)/8)) + re(atan(1/8 + i*sqrt(95)/8)))
Respuesta numérica [src] 
x1 = 42.4115008234622
x2 = 54.9778714378214
x3 = -86.3937979737193
x4 = -98.9601685880785
x5 = 29.845130209103
x6 = -42.4115008234622
x7 = 89.5353906273091
x8 = -95.8185759344887
x9 = -64.4026493985908
x10 = 14.1371669411541
x11 = -17.2787595947439
x12 = 48.6946861306418
x13 = -48.6946861306418
x14 = -67.5442420521806
x15 = -32.9867228626928
x16 = -80.1106126665397
x17 = 83.2522053201295
x18 = 1.5707963267949
x19 = 10.9955742875643
x20 = -7.85398163397448
x21 = -76.9690200129499
x22 = 98.9601685880785
x23 = -4.71238898038469
x24 = 36.1283155162826
x25 = 20.4203522483337
x26 = 23.5619449019235
x27 = 51.8362787842316
x28 = -45.553093477052
x29 = 45.553093477052
x30 = -1.5707963267949
x31 = -10.9955742875643
x32 = 26.7035375555132
x33 = 67.5442420521806
x34 = 92.6769832808989
x35 = -58.1194640914112
x36 = 73.8274273593601
x37 = -39.2699081698724
x38 = 95.8185759344887
x39 = -23.5619449019235
x40 = -70.6858347057703
x41 = 80.1106126665397
x42 = 58.1194640914112
x43 = -14.1371669411541
x44 = 32.9867228626928
x45 = -83.2522053201295
x46 = 7.85398163397448
x47 = -89.5353906273091
x48 = -29.845130209103
x49 = 76.9690200129499
x50 = 86.3937979737193
x51 = 70.6858347057703
x52 = -26.7035375555132
x53 = -36.1283155162826
x54 = -92.6769832808989
x55 = -51.8362787842316
x56 = -73.8274273593601
x57 = 17.2787595947439
x58 = 64.4026493985908
x59 = -20.4203522483337
x60 = 4.71238898038469
x61 = -54.9778714378214
x62 = 39.2699081698724
x63 = -61.261056745001
x64 = 61.261056745001
x64 = 61.261056745001
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