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cosx*sinx-cos^2x=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
                   2       
cos(x)*sin(x) - cos (x) = 0
$$\sin{\left(x \right)} \cos{\left(x \right)} - \cos^{2}{\left(x \right)} = 0$$
Gráfica
Respuesta rápida [src]
     -3*pi
x1 = -----
       4  
$$x_{1} = - \frac{3 \pi}{4}$$
     -pi 
x2 = ----
      2  
$$x_{2} = - \frac{\pi}{2}$$
     pi
x3 = --
     4 
$$x_{3} = \frac{\pi}{4}$$
     pi
x4 = --
     2 
$$x_{4} = \frac{\pi}{2}$$
x4 = pi/2
Suma y producto de raíces [src]
suma
  3*pi   pi   pi   pi
- ---- - -- + -- + --
   4     2    4    2 
$$\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{2}\right) + \frac{\pi}{4}\right) + \frac{\pi}{2}$$
=
-pi 
----
 2  
$$- \frac{\pi}{2}$$
producto
-3*pi -pi  pi pi
-----*----*--*--
  4    2   4  2 
$$\frac{\pi}{2} \frac{\pi}{4} \cdot - \frac{3 \pi}{4} \left(- \frac{\pi}{2}\right)$$
=
    4
3*pi 
-----
  64 
$$\frac{3 \pi^{4}}{64}$$
3*pi^4/64
Respuesta numérica [src]
x1 = 17.2787595947439
x2 = -55.7632696012188
x3 = 7.85398163397448
x4 = -27.4889357189107
x5 = -6942.13436627005
x6 = 38.484510006475
x7 = 66.7588438887831
x8 = -80.8960108299372
x9 = 95.8185759344887
x10 = -86.3937979737193
x11 = -71.4712328691678
x12 = -48.6946861306418
x13 = -45.553093477052
x14 = 91.8915851175014
x15 = 25.9181393921158
x16 = -20.4203522483337
x17 = -64.4026493985908
x18 = 76.1836218495525
x19 = -58.1194640914112
x20 = 39.2699081698724
x21 = -49.4800842940392
x22 = 23.5619449019235
x23 = 82.4668071567321
x24 = -80.1106126665397
x25 = -93.4623814442964
x26 = 86.3937979737193
x27 = -99.7455667514759
x28 = 45.553093477052
x29 = 51.8362787842316
x30 = -26.7035375555132
x31 = -5.49778714378214
x32 = 83.2522053201295
x33 = -14.1371669411541
x34 = 16.4933614313464
x35 = -11.7809724509617
x36 = 20.4203522483337
x37 = 22.776546738526
x38 = -73.8274273593601
x39 = -18.0641577581413
x40 = -29.845130209103
x41 = 0.785398163397448
x42 = -89.5353906273091
x43 = -43.1968989868597
x44 = 64.4026493985908
x45 = -62.0464549083984
x46 = -92.6769832808989
x47 = -102.101761241668
x48 = 61.261056745001
x49 = 29.845130209103
x50 = 60.4756585816035
x51 = -51.8362787842316
x52 = 69.9004365423729
x53 = 88.7499924639117
x54 = 47.9092879672443
x55 = -67.5442420521806
x56 = 54.1924732744239
x57 = -65.1880475619882
x58 = -36.1283155162826
x59 = -7.85398163397448
x60 = -2530.55288246658
x61 = 14.1371669411541
x62 = 89.5353906273091
x63 = 80.1106126665397
x64 = -84.037603483527
x65 = 42.4115008234622
x66 = -21.2057504117311
x67 = 36.1283155162826
x68 = -1.5707963267949
x69 = -95.8185759344887
x70 = -23.5619449019235
x71 = 3.92699081698724
x72 = 32.2013246992954
x73 = -87.1791961371168
x74 = 67.5442420521806
x75 = -77.7544181763474
x76 = -4.71238898038469
x77 = -17.2787595947439
x78 = -70.6858347057703
x79 = 98.174770424681
x80 = 44.7676953136546
x81 = -40.0553063332699
x82 = 73.8274273593601
x83 = 58.1194640914112
x84 = 1.5707963267949
x85 = -42.4115008234622
x86 = 10.2101761241668
x87 = -33.7721210260903
x87 = -33.7721210260903