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sin2x-cos2x=-0,5 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
sin(2*x) - cos(2*x) = -1/2
$$\sin{\left(2 x \right)} - \cos{\left(2 x \right)} = - \frac{1}{2}$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
      /      ___\       /      ___\
      |2   \/ 7 |       |2   \/ 7 |
- atan|- - -----| - atan|- + -----|
      \3     3  /       \3     3  /
$$- \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)} - \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)}$$ 
=
      /      ___\       /      ___\
      |2   \/ 7 |       |2   \/ 7 |
- atan|- - -----| - atan|- + -----|
      \3     3  /       \3     3  /
$$- \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)} - \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)}$$ 
producto
     /      ___\ /     /      ___\\
     |2   \/ 7 | |     |2   \/ 7 ||
-atan|- - -----|*|-atan|- + -----||
     \3     3  / \     \3     3  //
$$- \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)} \left(- \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)}\right)$$ 
=
    /      ___\     /      ___\
    |2   \/ 7 |     |2   \/ 7 |
atan|- - -----|*atan|- + -----|
    \3     3  /     \3     3  /
$$\operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)} \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)}$$ 
atan(2/3 - sqrt(7)/3)*atan(2/3 + sqrt(7)/3)
Respuesta rápida [src] 
          /      ___\
          |2   \/ 7 |
x1 = -atan|- - -----|
          \3     3  /
$$x_{1} = - \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)}$$ 
          /      ___\
          |2   \/ 7 |
x2 = -atan|- + -----|
          \3     3  /
$$x_{2} = - \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)}$$ 
x2 = -atan(2/3 + sqrt(7)/3)
Respuesta numérica [src] 
x1 = -98.3867859444264
x2 = 50.4774979771821
x3 = -50.0534669376913
x4 = -37.4870963233321
x5 = -29.271747565451
x6 = 44.1943126700025
x7 = 36.7016981599347
x8 = -92.1036006372468
x9 = -76.3956373692979
x10 = -85.8204153300672
x11 = -43.7702816305117
x12 = 15.9199787876943
x13 = 91.3182024738494
x14 = 53.6190906307719
x15 = -59.4782448984607
x16 = 37.9111273628229
x17 = -65.7614302056403
x18 = -26.1301549118612
x19 = -40.6286889769219
x20 = 30.4185128527551
x21 = -1000.0238775247
x22 = 94.4597951274392
x23 = -34.3455036697424
x24 = 108.9583291925
x25 = 39.8432908135245
x26 = -79.5372300228877
x27 = 137.232663074808
x28 = 58.6928467350633
x29 = -12.3543550946138
x30 = -94.0357640879484
x31 = 2.14417897044697
x32 = -51.2628961405795
x33 = -100.318949395128
x34 = -73.2540447157081
x35 = -13.563784297502
x36 = 66.185461245131
x37 = -81.4693934735892
x38 = -4.13900633673261
x39 = -21.7791330553832
x40 = 88.1766098202596
x41 = -48.1213034869897
x42 = -6.07116978743422
x43 = -70.1124520621183
x44 = 24.1353275455755
x45 = 68.1176246958326
x46 = 97.601387781029
x47 = 6.49520082692496
x48 = -321.439864349302
x49 = -57.5460814477591
x50 = 46.1264761207041
x51 = 8.42736427762656
x52 = 22.2031640948739
x53 = 90.1087732709612
x54 = 81.89342451308
x55 = -72.0446155128199
x56 = 0.21201551974537
x57 = 80.6839953101918
x58 = -7.2805989903224
x59 = 31.6279420556433
x60 = 52.4096614278837
x61 = -78.3278008199995
x62 = 9.63679348051475
x63 = 75.6102392059004
x64 = 72.4686465523106
x65 = 59.9022759379514
x66 = -19.8469696046816
x67 = -35.5549328726305
x68 = -87.7525787807688
x69 = 96.3919585781408
x70 = -84.610986127179
x71 = 14.7105495848061
x72 = 83.8255879637816
x73 = -41.8381181798101
x74 = -28.0623183625628
x75 = 28.4863494020535
x76 = -62.6198375520505
x77 = -15.4959477482036
x78 = -56.3366522448709
x79 = 17.8521422383959
x80 = 61.834439388653
x81 = -95.2451932908366
x82 = -63.8292667549387
x83 = 74.4008100030122
x83 = 74.4008100030122
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