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cosx+sinxcosx+sinx=1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
cos(x) + sin(x)*cos(x) + sin(x) = 1
$$\left(\sin{\left(x \right)} \cos{\left(x \right)} + \cos{\left(x \right)}\right) + \sin{\left(x \right)} = 1$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
           /    /        ___\\         /    /        ___\\         /    /        ___\\         /    /        ___\\
pi         |    |1   I*\/ 7 ||         |    |1   I*\/ 7 ||         |    |1   I*\/ 7 ||         |    |1   I*\/ 7 ||
-- + - 2*re|atan|- - -------|| - 2*I*im|atan|- - -------|| + - 2*re|atan|- + -------|| - 2*I*im|atan|- + -------||
2          \    \2      2   //         \    \2      2   //         \    \2      2   //         \    \2      2   //
$$\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{7} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{7} i}{2} \right)}\right)}\right) + \left(\frac{\pi}{2} + \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{7} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{7} i}{2} \right)}\right)}\right)\right)$$ 
=
         /    /        ___\\       /    /        ___\\         /    /        ___\\         /    /        ___\\
pi       |    |1   I*\/ 7 ||       |    |1   I*\/ 7 ||         |    |1   I*\/ 7 ||         |    |1   I*\/ 7 ||
-- - 2*re|atan|- + -------|| - 2*re|atan|- - -------|| - 2*I*im|atan|- + -------|| - 2*I*im|atan|- - -------||
2        \    \2      2   //       \    \2      2   //         \    \2      2   //         \    \2      2   //
$$- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{7} i}{2} \right)}\right)} - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{7} i}{2} \right)}\right)} + \frac{\pi}{2} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{7} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{7} i}{2} \right)}\right)}$$ 
producto
     /      /    /        ___\\         /    /        ___\\\ /      /    /        ___\\         /    /        ___\\\
  pi |      |    |1   I*\/ 7 ||         |    |1   I*\/ 7 ||| |      |    |1   I*\/ 7 ||         |    |1   I*\/ 7 |||
0*--*|- 2*re|atan|- - -------|| - 2*I*im|atan|- - -------|||*|- 2*re|atan|- + -------|| - 2*I*im|atan|- + -------|||
  2  \      \    \2      2   //         \    \2      2   /// \      \    \2      2   //         \    \2      2   ///
$$0 \frac{\pi}{2} \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{7} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{7} i}{2} \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{7} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{7} i}{2} \right)}\right)}\right)$$ 
=
0
$$0$$ 
0
Respuesta rápida [src] 
x1 = 0
$$x_{1} = 0$$ 
     pi
x2 = --
     2
$$x_{2} = \frac{\pi}{2}$$ 
           /    /        ___\\         /    /        ___\\
           |    |1   I*\/ 7 ||         |    |1   I*\/ 7 ||
x3 = - 2*re|atan|- - -------|| - 2*I*im|atan|- - -------||
           \    \2      2   //         \    \2      2   //
$$x_{3} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{7} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{7} i}{2} \right)}\right)}$$ 
           /    /        ___\\         /    /        ___\\
           |    |1   I*\/ 7 ||         |    |1   I*\/ 7 ||
x4 = - 2*re|atan|- + -------|| - 2*I*im|atan|- + -------||
           \    \2      2   //         \    \2      2   //
$$x_{4} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{7} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{7} i}{2} \right)}\right)}$$ 
x4 = -2*re(atan(1/2 + sqrt(7)*i/2)) - 2*i*im(atan(1/2 + sqrt(7)*i/2))
Respuesta numérica [src] 
x1 = 31.4159265358979
x2 = -12.5663706143592
x3 = 75.398223686155
x4 = -69.1150383789755
x5 = -86.3937979737193
x6 = -50.2654824574367
x7 = 1.5707963267949
x8 = -56.5486677646163
x9 = 89.5353906273091
x10 = -2078.16354034965
x11 = -17.2787595947439
x12 = -62.8318530717959
x13 = 45.553093477052
x14 = 64.4026493985908
x15 = -6.28318530717959
x16 = 83.2522053201295
x17 = 6.28318530717959
x18 = 62.8318530717959
x19 = -29.845130209103
x20 = -25.1327412287183
x21 = 94.2477796076938
x22 = -37.6991118430775
x23 = -100.530964914873
x24 = -43.9822971502571
x25 = -92.6769832808989
x26 = 25.1327412287183
x27 = 87.9645943005142
x28 = 70.6858347057703
x29 = -48.6946861306418
x30 = 43.9822971502571
x31 = -42.4115008234622
x32 = -31.4159265358979
x33 = -67.5442420521806
x34 = -94.2477796076938
x35 = -23.5619449019235
x36 = 20.4203522483337
x37 = 18.8495559215388
x38 = -18.8495559215388
x39 = -61.261056745001
x40 = 12.5663706143592
x41 = -36.1283155162826
x42 = 301.59289474462
x43 = -859.225590756808
x44 = 81.6814089933346
x45 = 14.1371669411541
x46 = 51.8362787842316
x47 = -75.398223686155
x48 = 39.2699081698724
x49 = -81.6814089933346
x50 = 50.2654824574367
x51 = -87.9645943005142
x52 = -4.71238898038469
x53 = 95.8185759344887
x54 = 56.5486677646163
x55 = 58.1194640914112
x56 = -80.1106126665397
x57 = -73.8274273593601
x58 = 7.85398163397448
x59 = 37.6991118430775
x60 = 100.530964914873
x61 = 69.1150383789755
x62 = 0.0
x63 = 26.7035375555132
x63 = 26.7035375555132
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