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Sinx+√3Cosx=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
           __________    
sin(x) + \/ 3*cos(x)  = 0
$$\sqrt{3 \cos{\left(x \right)}} + \sin{\left(x \right)} = 0$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
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 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)
Respuesta numérica [src] 
x1 = 11.303177937095
x2 = 67.8518457017113
x3 = -82.9446016705988
x4 = 36.4359191658133
x5 = 99.2677722376092
x6 = 5.0199926299154
x7 = -20.1127485988029
x8 = -89.2277869777784
x9 = -491.351646637272
x10 = 80.4182163160704
x11 = -38.9623045203417
x12 = -13.8295632916234
x13 = 61.5686603945317
x14 = 17.5863632442746
x15 = 55.2854750873521
x16 = 49.0022897801725
x17 = 86.70140162325
x18 = 42.7191044729929
x19 = -32.6791192131621
x20 = -95.510972284958
x21 = -51.5286751347009
x22 = 92.9845869304296
x23 = -45.2454898275213
x24 = -76.6614163634192
x25 = -1.26319267726419
x26 = -57.8118604418805
x27 = -64.09504574906
x28 = 23.8695485514542
x29 = 30.1527338586337
x30 = 74.1350310088908
x31 = -70.3782310562396
x32 = -7.54637798444377
x33 = -26.3959339059825
x33 = -26.3959339059825
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