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

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Solución numérica:

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Solución

Ha introducido [src]
  _______________________                  
\/ sin(2*x) + sin(x) + 1  = cos(x) - sin(x)
$$\sqrt{\left(\sin{\left(x \right)} + \sin{\left(2 x \right)}\right) + 1} = - \sin{\left(x \right)} + \cos{\left(x \right)}$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
           /          ____\
           |  1   I*\/ 15 |
x2 = -I*log|- - - --------|
           \  4      4    /
$$x_{2} = - i \log{\left(- \frac{1}{4} - \frac{\sqrt{15} i}{4} \right)}$$
x2 = -i*log(-1/4 - sqrt(15)*i/4)
Suma y producto de raíces [src]
suma
      /          ____\
      |  1   I*\/ 15 |
-I*log|- - - --------|
      \  4      4    /
$$- i \log{\left(- \frac{1}{4} - \frac{\sqrt{15} i}{4} \right)}$$
=
      /          ____\
      |  1   I*\/ 15 |
-I*log|- - - --------|
      \  4      4    /
$$- i \log{\left(- \frac{1}{4} - \frac{\sqrt{15} i}{4} \right)}$$
producto
  /      /          ____\\
  |      |  1   I*\/ 15 ||
0*|-I*log|- - - --------||
  \      \  4      4    //
$$0 \left(- i \log{\left(- \frac{1}{4} - \frac{\sqrt{15} i}{4} \right)}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 67.2915617970385
x2 = -56.5486677646163
x3 = -140.053553339888
x4 = -50.2654824574367
x5 = 0.0
x6 = 18.8495559215388
x7 = 54.7251911826793
x8 = 62.8318530717959
x9 = -58.3721443465533
x10 = -18.8495559215388
x11 = -94.2477796076938
x12 = 25.1327412287183
x13 = -25.1327412287183
x14 = 87.9645943005142
x15 = -96.0712561896308
x16 = -43.9822971502571
x17 = 50.2654824574367
x18 = -64.6553296537328
x19 = -45.8057737321941
x20 = -8.10666188911656
x21 = 79.8579324113977
x22 = -81.6814089933346
x23 = 94.2477796076938
x24 = 100.530964914873
x25 = 98.7074883329364
x26 = 81.6814089933346
x27 = -1438.84943534413
x28 = 31.4159265358979
x29 = 61.0083764898589
x30 = 86.1411177185772
x31 = -77.221700268092
x32 = 69.1150383789755
x33 = 17.0260793396018
x34 = 37.6991118430775
x35 = -157.07963267949
x36 = -87.9645943005142
x37 = -69.1150383789755
x38 = 10.7428940324222
x39 = 48.4420058754997
x40 = 73.5747471042181
x41 = 35.8756352611405
x42 = -6.28318530717959
x43 = -89.7880708824512
x44 = -52.0889590393737
x45 = -188.495559215388
x46 = 12.5663706143592
x47 = 56.5486677646163
x48 = -100.530964914873
x49 = -62.8318530717959
x50 = -31.4159265358979
x51 = -14.3898471962961
x52 = -39.5225884250145
x53 = 43.9822971502571
x54 = 4.45970872524261
x55 = -1.82347658193698
x56 = -37.6991118430775
x57 = -70.9385149609124
x58 = -138.230076757951
x59 = 42.1588205683201
x60 = -75.398223686155
x61 = 75.398223686155
x62 = 6.28318530717959
x63 = -26.9562178106553
x64 = -114.92081211117
x65 = 23.3092646467814
x66 = 29.592449953961
x67 = -289.026524130261
x68 = 92.4243030257568
x69 = -33.2394031178349
x70 = -12.5663706143592
x71 = -83.5048855752716
x71 = -83.5048855752716