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Tgx=(3^1/2)/2 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
           ___
         \/ 3 
tan(x) = -----
           2  
$$\tan{\left(x \right)} = \frac{\sqrt{3}}{2}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = \frac{\sqrt{3}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}$$
O
$$x = \pi n + \operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
         /  ___\
         |\/ 3 |
x1 = atan|-----|
         \  2  /
$$x_{1} = \operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}$$
x1 = atan(sqrt(3)/2)
Suma y producto de raíces [src]
suma
    /  ___\
    |\/ 3 |
atan|-----|
    \  2  /
$$\operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}$$
=
    /  ___\
    |\/ 3 |
atan|-----|
    \  2  /
$$\operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}$$
producto
    /  ___\
    |\/ 3 |
atan|-----|
    \  2  /
$$\operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}$$
=
    /  ___\
    |\/ 3 |
atan|-----|
    \  2  /
$$\operatorname{atan}{\left(\frac{\sqrt{3}}{2} \right)}$$
atan(sqrt(3)/2)
Respuesta numérica [src]
x1 = -90.3924625751592
x2 = 98.1030966402284
x3 = 82.3951333722794
x4 = -58.9765360392613
x5 = 54.1207994899712
x6 = -40.1269801177225
x7 = 88.678318679459
x8 = -80.9676846143899
x9 = -99.8172405359286
x10 = 32.1296509148427
x11 = -74.6844993072103
x12 = 85.5367260258692
x13 = 50.9792068363815
x14 = 10.1385023397141
x15 = -5.56946092823482
x16 = 91.8199113330488
x17 = -49.5517580784919
x18 = -65.2597213464409
x19 = -84.1092772679796
x20 = -2.42786827464503
x21 = 66.6871701043304
x22 = 41.5544288756121
x23 = -68.4013140000307
x24 = 25.8464656076631
x25 = -18.135831542594
x26 = 76.1119480650998
x27 = 22.7048729540733
x28 = -30.7022021569532
x29 = 44.6960215292019
x30 = -93.534055228749
x31 = 6.99690968612435
x32 = -62.1181286928511
x33 = -36.9853874641328
x34 = -8.71105358182461
x35 = 79.2535407186896
x36 = 57.262392143561
x37 = 0.713724378944766
x38 = -27.5606095033634
x39 = -52.6933507320817
x40 = 28.9880582612529
x41 = 16.4216876468937
x42 = -71.5429066536205
x43 = -24.4190168497736
x44 = -43.2685727713123
x45 = -96.6756478823388
x46 = -21.2774241961838
x47 = 13.2800949933039
x48 = -87.2508699215694
x49 = 94.9615039866386
x50 = 60.4039847971508
x51 = -46.4101654249021
x52 = 63.5455774507406
x53 = 72.97035541151
x54 = 19.5632803004835
x55 = -55.8349433856715
x56 = 47.8376141827917
x57 = 38.4128362220223
x58 = -14.9942388890042
x59 = 69.8287627579202
x60 = 3.85531703253456
x61 = -11.8526462354144
x62 = -33.843794810543
x63 = 35.2712435684325
x64 = -77.8260919608001
x65 = 101.244689293818
x65 = 101.244689293818