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√cos(X)sin(x)=cos(x) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
  ________                
\/ cos(x) *sin(x) = cos(x)
$$\sin{\left(x \right)} \sqrt{\cos{\left(x \right)}} = \cos{\left(x \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
                  /   ____________\
  pi   pi         |  /        ___ |
- -- + -- + 2*atan\\/  -2 + \/ 5  /
  2    2                           
$$\left(- \frac{\pi}{2} + \frac{\pi}{2}\right) + 2 \operatorname{atan}{\left(\sqrt{-2 + \sqrt{5}} \right)}$$
=
      /   ____________\
      |  /        ___ |
2*atan\\/  -2 + \/ 5  /
$$2 \operatorname{atan}{\left(\sqrt{-2 + \sqrt{5}} \right)}$$
producto
              /   ____________\
-pi  pi       |  /        ___ |
----*--*2*atan\\/  -2 + \/ 5  /
 2   2                         
$$- \frac{\pi}{2} \frac{\pi}{2} \cdot 2 \operatorname{atan}{\left(\sqrt{-2 + \sqrt{5}} \right)}$$
=
         /   ____________\ 
   2     |  /        ___ | 
-pi *atan\\/  -2 + \/ 5  / 
---------------------------
             2             
$$- \frac{\pi^{2} \operatorname{atan}{\left(\sqrt{-2 + \sqrt{5}} \right)}}{2}$$
-pi^2*atan(sqrt(-2 + sqrt(5)))/2
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
     pi
x2 = --
     2 
$$x_{2} = \frac{\pi}{2}$$
           /   ____________\
           |  /        ___ |
x3 = 2*atan\\/  -2 + \/ 5  /
$$x_{3} = 2 \operatorname{atan}{\left(\sqrt{-2 + \sqrt{5}} \right)}$$
x3 = 2*atan(sqrt(-2 + sqrt(5)))
Respuesta numérica [src]
x1 = 38.6036687373799
x2 = 63.7364099660982
x3 = 7.18774220148197
x4 = 51.1700393517391
x5 = 57.4532246589187
x6 = -17.9449990272364
x7 = -68.2104814846731
x8 = -30.5113696415956
x9 = -49.3609255631343
x10 = 95.1523365019962
x11 = 44.8868540445595
x12 = 32.3204834302003
x13 = -61.9272961774935
x14 = -80.7768520990322
x15 = 19.7541128158411
x16 = -5.37862841287721
x17 = 13.4709275086616
x18 = 88.8691511948166
x19 = 70.0195952732778
x20 = -36.7945549487751
x21 = -43.0777402559547
x22 = -24.228184334416
x23 = -87.0600374062118
x24 = -99.626408020571
x25 = 0.904556894302381
x26 = 26.0372981230207
x27 = -93.3432227133914
x28 = 101.435521809176
x29 = 82.585965887637
x30 = -55.6441108703139
x31 = 76.3027805804574
x32 = -11.6618137200568
x33 = -74.4936667918527
x33 = -74.4936667918527