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

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cos(x) + sin(x)*cos(x) = 0
sin(x)cos(x)+cos(x)=0\sin{\left(x \right)} \cos{\left(x \right)} + \cos{\left(x \right)} = 0
Gráfica
0-80-60-40-2020406080-1001002.5-2.5
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
x1=π2x_{1} = - \frac{\pi}{2}
     pi
x2 = --
     2 
x2=π2x_{2} = \frac{\pi}{2}
x2 = pi/2
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  2    2 
π2+π2- \frac{\pi}{2} + \frac{\pi}{2}
=
0
00
producto
-pi  pi
----*--
 2   2 
π2π2- \frac{\pi}{2} \frac{\pi}{2}
=
   2 
-pi  
-----
  4  
π24- \frac{\pi^{2}}{4}
-pi^2/4
Respuesta numérica [src]
x1 = -1.5708395883501
x2 = -73.8274273593601
x3 = -83.2520989260588
x4 = 4.71247207702943
x5 = -45.5531406161696
x6 = 7.85398163397448
x7 = 80.1107065596659
x8 = -51.8362552464215
x9 = 86.3937626449816
x10 = -4.71238898038469
x11 = 14.1371669411541
x12 = -45.5529627112364
x13 = 58.1194640914112
x14 = 42.4116084929189
x15 = 70.6858347057703
x16 = -36.1283155162826
x17 = -64.4025511842224
x18 = 67.5443499931316
x19 = -51.836262485438
x20 = -39.2700111445703
x21 = -14.1371257126071
x22 = -92.6769832808989
x23 = -86.3937979737193
x24 = -7.8541073681749
x25 = 42.4114614973024
x26 = -67.5442420521806
x27 = -61.261056745001
x28 = 26.7035375555132
x29 = -48.6946861306418
x30 = 51.8362787842316
x31 = -42.4115008234622
x32 = 80.1106034946956
x33 = 23.5620496503301
x34 = -58.1194274499719
x35 = -58.119532055033
x36 = -95.8185821748531
x37 = 1.5707963267949
x38 = 95.8185759344887
x39 = -83.2523114345838
x40 = -17.2787595947439
x41 = 4.71228918668806
x42 = 45.553093477052
x43 = 36.1283177986942
x44 = 76.9690200129499
x45 = 29.8451758719219
x46 = 86.3938908510206
x47 = 73.827311651389
x48 = -20.4202507419375
x49 = 20.4203522483337
x50 = -45.553042714615
x51 = -80.1106126665397
x52 = 32.9867228626928
x53 = 64.4026493985908
x54 = -23.5619449019235
x55 = 48.6945895587878
x56 = 92.6768899714075
x57 = -7.85396934854081
x58 = -89.535441589746
x59 = -14.1372535946994
x60 = 89.5353906273091
x61 = -29.845130209103
x62 = 1393.29636850171
x63 = -1.57067615583836
x64 = -95.8185602777545
x65 = 73.827477322712
x66 = 29.8450277989543
x66 = 29.8450277989543