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2sin(x)*cos(x)=-1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
2*sin(x)*cos(x) = -1
$$2 \sin{\left(x \right)} \cos{\left(x \right)} = -1$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      4  
$$x_{1} = - \frac{\pi}{4}$$
     3*pi
x2 = ----
      4  
$$x_{2} = \frac{3 \pi}{4}$$
x2 = 3*pi/4
Suma y producto de raíces [src]
suma
  pi   3*pi
- -- + ----
  4     4  
$$- \frac{\pi}{4} + \frac{3 \pi}{4}$$
=
pi
--
2 
$$\frac{\pi}{2}$$
producto
-pi  3*pi
----*----
 4    4  
$$- \frac{\pi}{4} \frac{3 \pi}{4}$$
=
     2
-3*pi 
------
  16  
$$- \frac{3 \pi^{2}}{16}$$
-3*pi^2/16
Respuesta numérica [src]
x1 = -60.4756583509459
x2 = 58.9048620066655
x3 = -91.8915845717239
x4 = 30.6305281863893
x5 = 33.7721211721652
x6 = 11.7809725930891
x7 = 52.6216767646073
x8 = -73.0420294459387
x9 = 55.7632697006301
x10 = -63.6172513149926
x11 = 80.8960105951638
x12 = -60.4756585174615
x13 = -57.3340661259123
x14 = 43.1968988259316
x15 = -0.785397916651749
x16 = -82.4668069282144
x17 = -7.0685837201977
x18 = 96.6039739773235
x19 = 8.63937960822746
x20 = -44.7676954314418
x21 = -35.3429175479242
x22 = -76.1836217239439
x23 = -44.7676950635734
x24 = 24.3473430043575
x25 = 14.9225649892472
x26 = -96953.4762811184
x27 = 90.3207887447523
x28 = 43.1968992294597
x29 = -85.608399894653
x30 = -32.2013245652766
x31 = 74.6128253428807
x32 = -29.0597322955756
x33 = 80.896010582516
x34 = -95.0331777492301
x35 = 99.7455669089878
x36 = -51.0508808708243
x37 = 2.35619442440536
x38 = 65.1880478021829
x39 = 27.4889359573966
x40 = -66.758843637313
x41 = 36.9137135281996
x42 = 77.7544183301131
x43 = 40.0553062099627
x44 = -38.4845103583538
x45 = -35.3429178934093
x46 = 62.0464547256144
x47 = 71.471233111112
x48 = -22.7765464900166
x49 = -7.06858355298869
x50 = -16.4933611966261
x51 = -101.316363786262
x52 = -10.2101759860574
x53 = 5.49778738042301
x54 = -79.3252147038408
x55 = -95.0331780209134
x56 = -41.6261027352652
x57 = -22.7765468685351
x58 = -88.7499925537801
x59 = 65.1880473923958
x60 = 93.462381687851
x61 = -19.6349541554673
x62 = -98.1747703033985
x63 = -88.7499922112266
x64 = 49.4800845342934
x65 = 55.7632697511726
x66 = -54.1924731445711
x67 = -76.1836225361187
x68 = 58.9048620635881
x69 = -0.785398304611266
x70 = -13.3517689698773
x71 = 84.0376034199549
x72 = 87.1791959595656
x73 = -66.7588439932285
x74 = 62.0464548195549
x75 = 36.9137134309271
x76 = -51.0508806461775
x77 = 68.3296401645238
x78 = 96.6039739212089
x79 = 14.9225648553046
x80 = 46.3384915843947
x81 = 18.0641575837788
x82 = 87.1791963746667
x83 = -3.92699107594367
x84 = 21.2057506565108
x85 = 21.2057502602382
x86 = -73.0420291965934
x87 = -29.0597320982225
x88 = -38.4845097737495
x88 = -38.4845097737495