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sinx*cosx-1/2=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(x)*cos(x) - 1/2 = 0
$$\sin{\left(x \right)} \cos{\left(x \right)} - \frac{1}{2} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
  3*pi   pi
- ---- + --
   4     4 
$$- \frac{3 \pi}{4} + \frac{\pi}{4}$$
=
-pi 
----
 2  
$$- \frac{\pi}{2}$$
producto
-3*pi pi
-----*--
  4   4 
$$- \frac{3 \pi}{4} \frac{\pi}{4}$$
=
     2
-3*pi 
------
  16  
$$- \frac{3 \pi^{2}}{16}$$
-3*pi^2/16
Respuesta rápida [src]
     -3*pi
x1 = -----
       4  
$$x_{1} = - \frac{3 \pi}{4}$$
     pi
x2 = --
     4 
$$x_{2} = \frac{\pi}{4}$$
x2 = pi/4
Respuesta numérica [src]
x1 = 66.7588436646782
x2 = 98.1747705006042
x3 = -65.1880480738962
x4 = -49.4800844377116
x5 = -52.621676693071
x6 = -74.6128250890583
x7 = -93.4623815953041
x8 = 44.7676950874451
x9 = -8.6393795270917
x10 = -96.6039736043971
x11 = 85.6084000178882
x12 = 79.3252147600926
x13 = -71.471233016533
x14 = 63.6172514399813
x15 = -58.9048624818554
x16 = -33.7721210085969
x17 = 19.6349542839773
x18 = -87.1791967606238
x19 = 73.0420293451081
x20 = 32.2013247418177
x21 = 3.92699088042162
x22 = -90.320788607123
x23 = -68.3296400287794
x24 = -52.6216765719183
x25 = 95.0331779096874
x26 = -62.0464548641931
x27 = -80.8960110535094
x28 = -21.2057506438029
x29 = -58.9048620578704
x30 = -84.0376034464448
x31 = -18.064157700815
x32 = -55.7632695910029
x33 = -36.9137139098865
x34 = 0.785397933202895
x35 = 25.9181394614117
x36 = -5.49778727991785
x37 = -2.35619439286547
x38 = 35.3429175338589
x39 = 41.6261028620108
x40 = 60.4756584571505
x41 = 95.0331775275438
x42 = -99.745566754733
x43 = -40.0553062823371
x44 = 76.1836219129628
x45 = 7.06858364655338
x46 = 29.0597322134693
x47 = 69.9004366227711
x48 = 13.3517690340018
x49 = -8.63937954158422
x50 = -36.9137134891678
x51 = -27.4889358588398
x52 = -77.754418173028
x53 = -2.35619429411883
x54 = 47.9092880421864
x55 = -46.3384914504975
x56 = -14.9225649210104
x57 = 16.4933612990544
x58 = 73.0420289540461
x59 = -11.7809724257318
x60 = 7.06858323491875
x61 = 82.4668070362749
x62 = 13.3517690013813
x63 = -87.1791963743373
x64 = 22.7765465102862
x65 = 35.3429176094788
x66 = -74.6128252689663
x67 = -30.6305280514717
x68 = -65.1880477975749
x69 = 51.0508807796768
x70 = -30.6305281172761
x71 = -96.6039738449592
x72 = -43.1968987801324
x73 = 25.9181398404781
x74 = 10.2101761576945
x75 = -24.3473430701779
x76 = 51.0508803807674
x77 = 38.4845098780771
x78 = 54.192473326822
x79 = -14.9225653376224
x80 = 57.3340661848436
x81 = 101.316363152916
x82 = 57.334066070126
x83 = 29.0597318077204
x84 = 91.8915852031867
x85 = -62.0464545510179
x86 = 79.3252146099091
x87 = -24.3473428722772
x88 = -80.8960106270747
x89 = -153.15264217109
x90 = -43.1968992207295
x91 = 88.7499922419838
x92 = -46.3384918201522
x92 = -46.3384918201522