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sin(3*x)/=(5*sqrt(cos(3*x))) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
               __________
sin(3*x) = 5*\/ cos(3*x) 
sin(3x)=5cos(3x)\sin{\left(3 x \right)} = 5 \sqrt{\cos{\left(3 x \right)}}
Gráfica
0-80-60-40-2020406080-100100-510
Suma y producto de raíces [src]
suma
      /   ______________\
      |  /        _____ |
      |\/  -2 + \/ 629  |
2*atan|-----------------|
      \        5        /
-------------------------
            3            
2atan(2+6295)3\frac{2 \operatorname{atan}{\left(\frac{\sqrt{-2 + \sqrt{629}}}{5} \right)}}{3}
=
      /   ______________\
      |  /        _____ |
      |\/  -2 + \/ 629  |
2*atan|-----------------|
      \        5        /
-------------------------
            3            
2atan(2+6295)3\frac{2 \operatorname{atan}{\left(\frac{\sqrt{-2 + \sqrt{629}}}{5} \right)}}{3}
producto
      /   ______________\
      |  /        _____ |
      |\/  -2 + \/ 629  |
2*atan|-----------------|
      \        5        /
-------------------------
            3            
2atan(2+6295)3\frac{2 \operatorname{atan}{\left(\frac{\sqrt{-2 + \sqrt{629}}}{5} \right)}}{3}
=
      /   ______________\
      |  /        _____ |
      |\/  -2 + \/ 629  |
2*atan|-----------------|
      \        5        /
-------------------------
            3            
2atan(2+6295)3\frac{2 \operatorname{atan}{\left(\frac{\sqrt{-2 + \sqrt{629}}}{5} \right)}}{3}
2*atan(sqrt(-2 + sqrt(629))/5)/3
Respuesta rápida [src]
           /   ______________\
           |  /        _____ |
           |\/  -2 + \/ 629  |
     2*atan|-----------------|
           \        5        /
x1 = -------------------------
                 3            
x1=2atan(2+6295)3x_{1} = \frac{2 \operatorname{atan}{\left(\frac{\sqrt{-2 + \sqrt{629}}}{5} \right)}}{3}
x1 = 2*atan(sqrt(-2 + sqrt(629))/5)/3
Respuesta numérica [src]
x1 = -14.1504825502614
x2 = 82.1916921598256
x3 = -3.67850703829538
x4 = 42.3981852143549
x5 = -64.415965007698
x6 = -56.0383845981253
x7 = -1.58411193590218
x8 = -53.9439894957321
x9 = 73.8141117502529
x10 = 78.0029019550392
x11 = 46.5869754191413
x12 = 50.7757656239277
x13 = -9.96169234547496
x14 = -49.7551992909457
x15 = 75.9085068526461
x16 = -100.020681748382
x17 = -47.6608041885525
x18 = -5.77290214068857
x19 = 86.380482364612
x20 = -60.2271748029117
x21 = -91.6431013388096
x22 = 88.4748774670052
x23 = 80.0972970574324
x24 = -87.4543111340232
x25 = 29.8318145999958
x26 = -97.9262866459892
x27 = -89.5487062364164
x28 = -22.5280629598341 + 2.56145770754251e-15*i
x29 = -95.831891543596
x30 = 31.9262097023889
x31 = 0.510283166491014
x32 = 27.7374194976026
x33 = 71.7197166478597
x34 = 84.2860872622188
x35 = 38.2093950095685
x36 = -45.5664090861593
x37 = -35.0944335741933
x38 = -16.2448776526545
x39 = 44.4925803167481
x40 = -93.7374964412028
x41 = 40.3037901119617
x42 = -66.5103601100912
x43 = 90.5692725693984
x44 = 36.1149999071753
x45 = 34.0206048047821
x46 = -7.86729724308177
x47 = -51.8495943933389
x48 = 21.454234190423
x49 = -12.0560874478682
x50 = -58.1327797005185
x51 = -43.4720139837661
x51 = -43.4720139837661