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sin(2x)*cos(4x)=1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
sin(2*x)*cos(4*x) = 1
$$\sin{\left(2 x \right)} \cos{\left(4 x \right)} = 1$$
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 = -3.92699100261715
x2 = 55.7632696713755
x3 = 62.0464548171704
x4 = 74.6128257839126
x5 = -63.6172513031543
x6 = 87.1791959594208
x7 = 18.0641575892355
x8 = 77.7544182416446
x9 = 68.3296401679264
x10 = -10.2101760449628
x11 = 80.8960107147356
x12 = -19.6349541471877
x13 = 33.7721211000709
x14 = -32.2013246184582
x15 = 99.7455668106293
x16 = 40.0553062082241
x17 = 84.0376034181454
x18 = -76.1836217670301
x19 = 58.9048623258201
x20 = 11.7809725279133
x21 = -54.1924731924989
x22 = 46.3384915887695
x23 = 90.3207887473286
x24 = 99.7455665288939
x25 = 77.7544179893639
x26 = 36.9137136099768
x27 = 2.3561944312063
x28 = 87.1791963920042
x29 = 24.3473430098611
x30 = -85.6083998807011
x31 = 30.6305282719331
x32 = 96.6039738172455
x33 = -98.1747703420107
x34 = -41.6261027253118
x35 = 14.9225647650127
x36 = -459.457925592445
x37 = 52.62167694589
x37 = 52.62167694589