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(1+sinx)(1+cosx)=1+sinx+cosx la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
(1 + sin(x))*(1 + cos(x)) = 1 + sin(x) + cos(x)
$$\left(\sin{\left(x \right)} + 1\right) \left(\cos{\left(x \right)} + 1\right) = \left(\sin{\left(x \right)} + 1\right) + \cos{\left(x \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  2    2 
$$- \frac{\pi}{2} + \frac{\pi}{2}$$
=
0
$$0$$
producto
  -pi  pi
0*----*--
   2   2 
$$\frac{\pi}{2} \cdot 0 \left(- \frac{\pi}{2}\right)$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -pi 
x2 = ----
      2  
$$x_{2} = - \frac{\pi}{2}$$
     pi
x3 = --
     2 
$$x_{3} = \frac{\pi}{2}$$
x3 = pi/2
Respuesta numérica [src]
x1 = 31.4159265358979
x2 = 86.3937979737193
x3 = 92.6769832808989
x4 = -7.85398163397448
x5 = 1.5707963267949
x6 = -64.4026493985908
x7 = -58.1194640914112
x8 = -20.4203522483337
x9 = -45.553093477052
x10 = 64.4026493985908
x11 = -29.845130209103
x12 = -9.42477796076938
x13 = 70.6858347057703
x14 = 42.4115008234622
x15 = 43.9822971502571
x16 = -31.4159265358979
x17 = 78.5398163397448
x18 = -61.261056745001
x19 = -15.707963267949
x20 = -28.2743338823081
x21 = -21.9911485751286
x22 = 95.8185759344887
x23 = 56.5486677646163
x24 = 58.1194640914112
x25 = -73.8274273593601
x26 = 7.85398163397448
x27 = -72.2566310325652
x28 = 0.0
x29 = -50.2654824574367
x30 = 113.097335529233
x31 = 89.5353906273091
x32 = 23.5619449019235
x33 = -48.6946861306418
x34 = -42.4115008234622
x35 = -67.5442420521806
x36 = -94.2477796076938
x37 = 20.4203522483337
x38 = 12.5663706143592
x39 = -59.6902604182061
x40 = -14.1371669411541
x41 = -119.380520836412
x42 = 29.845130209103
x43 = 100.530964914873
x44 = -97.3893722612836
x45 = 26.7035375555132
x46 = 48.6946861306418
x47 = -86.3937979737193
x48 = -469.668101711674
x49 = 80.1106126665397
x50 = 21.9911485751286
x51 = -40.8407044966673
x52 = -11086.6804745184
x53 = -95.8185759344887
x54 = -36.1283155162826
x55 = 34.5575191894877
x56 = 51.8362787842316
x57 = -81.6814089933346
x58 = 50.2654824574367
x59 = -87.9645943005142
x60 = 37.6991118430775
x61 = -1.5707963267949
x62 = 590.619418874881
x63 = 28.2743338823081
x64 = -65.9734457253857
x65 = 59.6902604182061
x66 = -83.2522053201295
x67 = 72.2566310325652
x68 = -17.2787595947439
x69 = 45.553093477052
x70 = -6.28318530717959
x71 = 6.28318530717959
x72 = -51.8362787842316
x73 = 94.2477796076938
x74 = -37.6991118430775
x75 = -39.2699081698724
x76 = 65.9734457253857
x77 = -43.9822971502571
x78 = 4.71238898038469
x79 = 87.9645943005142
x80 = 36.1283155162826
x81 = -53.4070751110265
x82 = -23.5619449019235
x83 = 73.8274273593601
x84 = 81.6814089933346
x85 = 14.1371669411541
x86 = -75.398223686155
x87 = -89.5353906273091
x88 = 15.707963267949
x89 = -80.1106126665397
x90 = 67.5442420521806
x90 = 67.5442420521806