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2cos2x+cos(x/2)^2-10sinx+7/2=1/2cosx la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                2/x\               7   cos(x)
2*cos(2*x) + cos |-| - 10*sin(x) + - = ------
                 \2/               2     2   
$$\left(\left(2 \cos{\left(2 x \right)} + \cos^{2}{\left(\frac{x}{2} \right)}\right) - 10 \sin{\left(x \right)}\right) + \frac{7}{2} = \frac{\cos{\left(x \right)}}{2}$$
Gráfica
Respuesta rápida [src]
     pi
x1 = --
     6 
$$x_{1} = \frac{\pi}{6}$$
     5*pi
x2 = ----
      6  
$$x_{2} = \frac{5 \pi}{6}$$
       pi        /        ___\
x3 = - -- - I*log\3 - 2*\/ 2 /
       2                      
$$x_{3} = - \frac{\pi}{2} - i \log{\left(3 - 2 \sqrt{2} \right)}$$
       pi        /        ___\
x4 = - -- - I*log\3 + 2*\/ 2 /
       2                      
$$x_{4} = - \frac{\pi}{2} - i \log{\left(2 \sqrt{2} + 3 \right)}$$
x4 = -pi/2 - i*log(2*sqrt(2) + 3)
Respuesta numérica [src]
x1 = 38.2227106186758
x2 = -28.7979326579064
x3 = -47.6474885794452
x4 = 21.4675497995303
x5 = 34.0339204138894
x6 = -74.8746249105567
x7 = 71.733032256967
x8 = 40.317105721069
x9 = 78.0162175641465
x10 = 44.5058959258554
x11 = -56.025068989018
x12 = -16.2315620435473
x13 = -60.2138591938044
x14 = 84.2994028713261
x15 = 1944.12225379648
x16 = 0.523598775598299
x17 = 333.532420056116
x18 = 8.90117918517108
x19 = 50.789081233035
x20 = 75.9218224617533
x21 = -361.806753938425
x22 = -37.1755130674792
x23 = 6.80678408277789
x24 = -41.3643032722656
x25 = 31.9395253114962
x26 = 63.3554518473942
x27 = -62.3082542961976
x28 = -24.60914245312
x29 = -5.75958653158129
x30 = -18.3259571459405
x31 = 90.5825881785057
x32 = -100.007366139275
x33 = -79.0634151153431
x34 = 94.7713783832921
x35 = -85.3466004225227
x36 = -97.9129710368819
x37 = -9.94837673636768
x38 = 25.6563400043166
x39 = -81.1578102177363
x40 = -30.8923277602996
x41 = -72.7802298081635
x42 = 46.6002910282486
x43 = -91.6297857297023
x44 = 159.697626557481
x45 = 13.0899693899575
x46 = 52.8834763354282
x47 = 96.8657734856853
x48 = 19.3731546971371
x49 = -66.497044500984
x50 = 2.61799387799149
x51 = -35.081117965086
x52 = 57.0722665402146
x53 = 27.7507351067098
x54 = 101.054563690472
x55 = -12.0427718387609
x56 = -68.5914396033772
x57 = -87.4409955249159
x58 = -22.5147473507269
x59 = 88.4881930761125
x60 = 15.1843644923507
x61 = -49.7418836818384
x62 = 65.4498469497874
x63 = 82.2050077689329
x64 = -53.9306738866248
x65 = 59.1666616426078
x66 = -3.66519142918809
x67 = 69.6386371545737
x68 = -93.7241808320955
x69 = 121.998514714404
x70 = -43.4586983746588
x70 = -43.4586983746588