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(-2cos^2x+sinx+1)(log(1/2)(-(4/5)cosx))=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
/       2                \          -4*cos(x)    
\- 2*cos (x) + sin(x) + 1/*log(1/2)*--------- = 0
                                        5        
$$\log{\left(\frac{1}{2} \right)} \left(- \frac{4 \cos{\left(x \right)}}{5}\right) \left(\left(\sin{\left(x \right)} - 2 \cos^{2}{\left(x \right)}\right) + 1\right) = 0$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
     pi
x2 = --
     6 
$$x_{2} = \frac{\pi}{6}$$
     pi
x3 = --
     2 
$$x_{3} = \frac{\pi}{2}$$
     5*pi
x4 = ----
      6  
$$x_{4} = \frac{5 \pi}{6}$$
x4 = 5*pi/6
Suma y producto de raíces [src]
suma
  pi   pi   pi   5*pi
- -- + -- + -- + ----
  2    6    2     6  
$$\left(\left(- \frac{\pi}{2} + \frac{\pi}{6}\right) + \frac{\pi}{2}\right) + \frac{5 \pi}{6}$$
=
pi
$$\pi$$
producto
-pi  pi pi 5*pi
----*--*--*----
 2   6  2   6  
$$\frac{5 \pi}{6} \frac{\pi}{2} \cdot - \frac{\pi}{2} \frac{\pi}{6}$$
=
     4
-5*pi 
------
 144  
$$- \frac{5 \pi^{4}}{144}$$
-5*pi^4/144
Respuesta numérica [src]
x1 = -12.0427718387609
x2 = -23.5619449019235
x3 = 44.5058959258554
x4 = -29.845130209103
x5 = 80.110603539808
x6 = -20.4204332242959
x7 = 34.0339204138894
x8 = 42.4114618328991
x9 = -20.4202571548774
x10 = -5.75958653158129
x11 = 98.9601954454498
x12 = -95.8185603115981
x13 = -80.1106126665397
x14 = 23.5620425243349
x15 = 64.4026493985908
x16 = -39.2700043126756
x17 = -32.9866445502565
x18 = 71.733032256967
x19 = -60.2138591938044
x20 = -83.252303863058
x21 = 61.2611347024888
x22 = 31.9395253114962
x23 = 78.0162175641465
x24 = 84.2994028713261
x25 = -30.8923277602996
x26 = 92.6768948837249
x27 = -93.7241808320955
x28 = 61.2609971733807
x29 = -3.66519142918809
x30 = -58.1194277246243
x31 = -89.5354408543713
x32 = 67.5443421038
x33 = -76.9689316312583
x34 = -56.025068989018
x35 = -62.3082542961976
x36 = 58.1194640914112
x37 = -45.5531400359992
x38 = -87.4409955249159
x39 = -73.8274273593601
x40 = 51.8362787842316
x41 = 27.7507351067098
x42 = 75.9218224617533
x43 = 54.9779200204342
x44 = -49.7418836818384
x45 = -24.60914245312
x46 = -36.1283155162826
x47 = -100.007366139275
x48 = 86.3937628881802
x49 = -9.94837673636768
x50 = -97.9129710368819
x51 = -1.57083914093654
x52 = 38.2227106186758
x53 = 36.1283177867717
x54 = -14.1371261031936
x55 = -70.6858216182123
x56 = 0.523598775598299
x57 = -67.5442420521806
x58 = -43.4586983746588
x59 = 10.9956396420721
x60 = 82.2050077689329
x61 = -51.8362625405323
x62 = 96.8657734856853
x63 = 17.2787185044117
x64 = 7.85398163397448
x65 = -53.9306738866248
x66 = -64.4025569322911
x67 = 29.8451753413416
x68 = 76.9690200129499
x69 = 4.71229533050042
x70 = 23.5619945857985
x71 = -91.6297857297023
x72 = 14.1371669411541
x73 = -16.2315620435473
x74 = -7.85396940466741
x75 = 73.8274766268599
x76 = 40.317105721069
x77 = 20.4203522483337
x78 = 48.6945950635277
x79 = 95.8185759344887
x80 = -47.6474885794452
x81 = 13.0899693899575
x82 = 54.9778066897116
x83 = 88.4881930761125
x84 = -26.7035547554214
x84 = -26.7035547554214