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√(sin(x)*cos(x))=cos(x) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
  _______________         
\/ sin(x)*cos(x)  = cos(x)
sin(x)cos(x)=cos(x)\sqrt{\sin{\left(x \right)} \cos{\left(x \right)}} = \cos{\left(x \right)}
Gráfica
0-80-60-40-2020406080-1001002-2
Suma y producto de raíces [src]
suma
pi   pi   3*pi
-- + -- + ----
4    2     2  
(π4+π2)+3π2\left(\frac{\pi}{4} + \frac{\pi}{2}\right) + \frac{3 \pi}{2}
=
9*pi
----
 4  
9π4\frac{9 \pi}{4}
producto
pi pi 3*pi
--*--*----
4  2   2  
3π2π4π2\frac{3 \pi}{2} \frac{\pi}{4} \frac{\pi}{2}
=
    3
3*pi 
-----
  16 
3π316\frac{3 \pi^{3}}{16}
3*pi^3/16
Respuesta rápida [src]
     pi
x1 = --
     4 
x1=π4x_{1} = \frac{\pi}{4}
     pi
x2 = --
     2 
x2=π2x_{2} = \frac{\pi}{2}
     3*pi
x3 = ----
      2  
x3=3π2x_{3} = \frac{3 \pi}{2}
x3 = 3*pi/2
Respuesta numérica [src]
x1 = -11.7809724509617
x2 = -55.7632696012188
x3 = 76.1836218495525
x4 = -93.4623814442964
x5 = -43.1968989868597
x6 = 95.0331777710912
x7 = -74.6128255227576
x8 = -5.49778714378214
x9 = -187.71016105199
x10 = 51.0508806208341
x11 = 7.06858347057703
x12 = 88.7499924639117
x13 = -18.0641577581413
x14 = -68.329640215578
x15 = 32.2013246992954
x16 = -62.0464549083984
x17 = -30.6305283725005
x18 = -36.9137136796801
x19 = 57.3340659280137
x20 = 44.7676953136546
x21 = 19.6349540849362
x22 = -24.3473430653209
x23 = -49.4800842940392
x24 = -87.1791961371168
x25 = 38.484510006475
x26 = -99.7455667514759
x27 = 69.9004365423729
x28 = 63.6172512351933
x29 = 82.4668071567321
x30 = 101.316363078271
x31 = 0.785398163397448
x32 = 13.3517687777566
x33 = 25.9181393921158
x34 = -80.8960108299372
x34 = -80.8960108299372