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sinx*cosx+cos^2x=1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                   2       
sin(x)*cos(x) + cos (x) = 1
$$\sin{\left(x \right)} \cos{\left(x \right)} + \cos^{2}{\left(x \right)} = 1$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -3*pi
x2 = -----
       4  
$$x_{2} = - \frac{3 \pi}{4}$$
     pi
x3 = --
     4 
$$x_{3} = \frac{\pi}{4}$$
x3 = pi/4
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
0*-----*--
    4   4 
$$\frac{\pi}{4} \cdot 0 \left(- \frac{3 \pi}{4}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 25.9181393921158
x2 = -15.707963267949
x3 = -31.4159265358979
x4 = 84.8230016469244
x5 = 21.9911485751286
x6 = -99.7455667514759
x7 = 0.0
x8 = 22.776546738526
x9 = -90.3207887907066
x10 = -96.6039740978861
x11 = -21.9911485751286
x12 = 28.2743338823081
x13 = 72.2566310325652
x14 = 82.4668071567321
x15 = 38.484510006475
x16 = -25.1327412287183
x17 = 87.9645943005142
x18 = -77.7544181763474
x19 = -43.9822971502571
x20 = -97.3893722612836
x21 = 50.2654824574367
x22 = 76.1836218495525
x23 = 54.1924732744239
x24 = -91.106186954104
x25 = -62.0464549083984
x26 = -247.400421470196
x27 = 91.8915851175014
x28 = -53.4070751110265
x29 = 63.6172512351933
x30 = 85.6083998103219
x31 = -33.7721210260903
x32 = -8.63937979737193
x33 = 10.2101761241668
x34 = 12.5663706143592
x35 = -81.6814089933346
x36 = 94.2477796076938
x37 = -30.6305283725005
x38 = 7534.32458147172
x39 = -40.0553063332699
x40 = -72.2566310325652
x41 = 65.9734457253857
x42 = 98.174770424681
x43 = 35.3429173528852
x44 = -193.99334635917
x45 = -87.9645943005142
x46 = 40.8407044966673
x47 = -24.3473430653209
x48 = -78.5398163397448
x49 = 62.8318530717959
x50 = 47.1238898038469
x51 = -106.028752058656
x52 = 3.92699081698724
x53 = 91.106186954104
x54 = -46.3384916404494
x55 = 78.5398163397448
x56 = -3.14159265358979
x57 = 56.5486677646163
x58 = -103.672557568463
x59 = -74.6128255227576
x60 = -2.35619449019234
x61 = 41.6261026600648
x62 = -55.7632696012188
x63 = -84.037603483527
x64 = -69.1150383789755
x65 = -65.9734457253857
x66 = -11.7809724509617
x67 = 43.9822971502571
x68 = -37.6991118430775
x69 = -52.621676947629
x70 = -59.6902604182061
x71 = -75.398223686155
x72 = 100.530964914873
x73 = 34.5575191894877
x74 = 6.28318530717959
x75 = 79.3252145031423
x76 = -47.1238898038469
x77 = 32.2013246992954
x78 = 18.8495559215388
x79 = 13.3517687777566
x80 = 57.3340659280137
x81 = -9.42477796076938
x82 = 60.4756585816035
x83 = 47.9092879672443
x84 = 69.9004365423729
x85 = -68.329640215578
x86 = 19.6349540849362
x87 = -18.0641577581413
x87 = -18.0641577581413