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cos(x)^(6)+sin(x)^(6)-cos(2*x)^(2)=1/16 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   6         6         2            
cos (x) + sin (x) - cos (2*x) = 1/16
(sin6(x)+cos6(x))cos2(2x)=116\left(\sin^{6}{\left(x \right)} + \cos^{6}{\left(x \right)}\right) - \cos^{2}{\left(2 x \right)} = \frac{1}{16}
Gráfica
0-80-60-40-2020406080-1001000.000.50
Respuesta numérica [src]
x1 = 50.0036830696375
x2 = -79.8488132787406
x3 = -67.8060414399797
x4 = 96.0803753222878
x5 = 78.2780169519457
x6 = 74.0892267471593
x7 = -87.7027949127151
x8 = -9.68657734856853
x9 = 12.30457122656
x10 = -100.269165527074
x11 = -15.9697626557481
x12 = -39.5317075576716
x13 = -42.1497014356631
x14 = -17.540558982543
x15 = 67.8060414399797
x16 = 92.9387826686981
x17 = 8.11578102177363
x18 = -64.6644487863899
x19 = -43.720497762458
x20 = -74.0892267471593
x21 = -1.83259571459405
x22 = -64.1408500107916
x23 = 86.1319985859202
x24 = -71.9948316447661
x25 = -57.857664703612
x26 = 62.5700536839967
x27 = -61.5228561328001
x28 = -96.0803753222878
x29 = -75.6600230739542
x30 = -81.9432083811338
x31 = 4.45058959258554
x32 = 9.16297857297023
x33 = 92.4151838930998
x34 = 6.02138591938044
x35 = -45.8148928648512
x36 = 1.83259571459405
x37 = -97.6511716490827
x38 = 89.7971900151083
x39 = 48.4328867428426
x40 = 88.2263936883134
x41 = 70.4240353179712
x42 = -6.02138591938044
x43 = 71.9948316447661
x44 = 26.4417381677141
x45 = 30.1069295969022
x46 = -35.8665161284835
x47 = 44.2440965380563
x48 = 20.1585528605345
x49 = -37.9609112308767
x50 = 59.9520598060052
x51 = -12.8281700021583
x52 = 56.2868683768171
x53 = 126.972703082587
x54 = -34.8193185772869
x55 = -59.9520598060052
x56 = 45.8148928648512
x57 = 37.9609112308767
x58 = -83.5140047079287
x59 = -20.1585528605345
x60 = 42.1497014356631
x61 = -31.6777259236971
x62 = -13.8753675533549
x63 = 85.0848010347236
x64 = 64.1408500107916
x65 = -93.9859802198946
x66 = 468.359104772678
x67 = 52.0980781720307
x68 = -53.6688744988256
x69 = 87.7027949127151
x70 = 100.269165527074
x71 = 93.9859802198946
x72 = -45.2912940892529
x73 = -50.0036830696375
x74 = -30.1069295969022
x75 = -86.1319985859202
x76 = 15.9697626557481
x77 = -89.7971900151083
x78 = 66.2352451131848
x79 = 23.8237442897226
x80 = 22.2529479629277
x81 = -23.8237442897226
x82 = 28.012534494509
x83 = -21.7293491873294
x84 = 0.261799387799149
x85 = 34.2957198016886
x86 = -52.0980781720307
x87 = 81.9432083811338
x88 = -28.012534494509
x89 = -65.7116463375865
x90 = -78.2780169519457
x90 = -78.2780169519457