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sinx=√3cosx la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
           __________
sin(x) = \/ 3*cos(x) 
$$\sin{\left(x \right)} = \sqrt{3 \cos{\left(x \right)}}$$
Gráfica
Respuesta rápida [src]
           /         _____________\
           |  ___   /        ____ |
           |\/ 3 *\/  -2 + \/ 13  |
x1 = 2*atan|----------------------|
           \          3           /
$$x_{1} = 2 \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{-2 + \sqrt{13}}}{3} \right)}$$
x1 = 2*atan(sqrt(3)*sqrt(-2 + sqrt(13))/3)
Suma y producto de raíces [src]
suma
      /         _____________\
      |  ___   /        ____ |
      |\/ 3 *\/  -2 + \/ 13  |
2*atan|----------------------|
      \          3           /
$$2 \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{-2 + \sqrt{13}}}{3} \right)}$$
=
      /         _____________\
      |  ___   /        ____ |
      |\/ 3 *\/  -2 + \/ 13  |
2*atan|----------------------|
      \          3           /
$$2 \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{-2 + \sqrt{13}}}{3} \right)}$$
producto
      /         _____________\
      |  ___   /        ____ |
      |\/ 3 *\/  -2 + \/ 13  |
2*atan|----------------------|
      \          3           /
$$2 \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{-2 + \sqrt{13}}}{3} \right)}$$
=
      /         _____________\
      |  ___   /        ____ |
      |\/ 3 *\/  -2 + \/ 13  |
2*atan|----------------------|
      \          3           /
$$2 \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{-2 + \sqrt{13}}}{3} \right)}$$
2*atan(sqrt(3)*sqrt(-2 + sqrt(13))/3)
Respuesta numérica [src]
x1 = -67.8518457017113
x2 = 13.8295632916234
x3 = -36.4359191658133
x4 = -30.1527338586337
x5 = -86.70140162325
x6 = 32.6791192131621
x7 = 7.54637798444377
x8 = -23.8695485514542
x9 = 1.26319267726419
x10 = 45.2454898275213
x11 = -55.2854750873521
x12 = 51.5286751347009
x13 = 82.9446016705988
x14 = -5.0199926299154
x15 = 95.510972284958
x16 = -74.1350310088908
x17 = 70.3782310562396
x18 = -92.9845869304296
x19 = 57.8118604418805
x20 = -80.4182163160704
x21 = 64.09504574906
x22 = 38.9623045203417
x23 = -99.2677722376092
x24 = 20.1127485988029
x25 = -11.303177937095
x26 = 89.2277869777784
x27 = -49.0022897801725
x28 = -17.5863632442746
x29 = -42.7191044729929
x30 = 26.3959339059825
x31 = -61.5686603945317
x32 = 76.6614163634192
x32 = 76.6614163634192