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tan(x)=sqrt2/2 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
           ___
         \/ 2 
tan(x) = -----
           2  
$$\tan{\left(x \right)} = \frac{\sqrt{2}}{2}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = \frac{\sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(\frac{\sqrt{2}}{2} \right)}$$
O
$$x = \pi n + \operatorname{atan}{\left(\frac{\sqrt{2}}{2} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
    /  ___\
    |\/ 2 |
atan|-----|
    \  2  /
$$\operatorname{atan}{\left(\frac{\sqrt{2}}{2} \right)}$$
=
    /  ___\
    |\/ 2 |
atan|-----|
    \  2  /
$$\operatorname{atan}{\left(\frac{\sqrt{2}}{2} \right)}$$
producto
    /  ___\
    |\/ 2 |
atan|-----|
    \  2  /
$$\operatorname{atan}{\left(\frac{\sqrt{2}}{2} \right)}$$
=
    /  ___\
    |\/ 2 |
atan|-----|
    \  2  /
$$\operatorname{atan}{\left(\frac{\sqrt{2}}{2} \right)}$$
atan(sqrt(2)/2)
Respuesta rápida [src]
         /  ___\
         |\/ 2 |
x1 = atan|-----|
         \  2  /
$$x_{1} = \operatorname{atan}{\left(\frac{\sqrt{2}}{2} \right)}$$
x1 = atan(sqrt(2)/2)
Respuesta numérica [src]
x1 = 50.8809621661071
x2 = -33.9420394808173
x3 = -84.207521938254
x4 = 60.3057401268765
x5 = 19.4650356302091
x6 = 10.0402576694398
x7 = 47.7393695125173
x8 = -90.4907072454336
x9 = 98.004851969954
x10 = -87.3491145918438
x11 = -46.5084100951765
x12 = -59.0747807095357
x13 = 32.0314062445683
x14 = 13.1818503230296
x15 = 3.75707236226018
x16 = -71.6411513238949
x17 = -40.2252247879969
x18 = 76.0137033948254
x19 = 54.0225548196969
x20 = 16.3234429766194
x21 = -74.7827439774847
x22 = 25.7482209373887
x23 = 94.8632593163642
x24 = -93.6322998990234
x25 = 35.1729988981581
x26 = -15.0924835592786
x27 = -49.6500027487663
x28 = 28.8898135909785
x29 = -18.2340762128684
x30 = 91.7216666627744
x31 = 41.4561842053377
x32 = -43.3668174415867
x33 = -5.6677055985092
x34 = -30.8004468272275
x35 = 6.89866501584997
x36 = 72.8721107412356
x37 = 57.1641474732867
x38 = -37.0836321344071
x39 = 79.1552960484152
x40 = -24.517261520048
x41 = -55.9331880559459
x42 = -52.7915954023561
x43 = 82.296888702005
x44 = -96.7738925526132
x45 = 88.5800740091846
x46 = -2.52611294491941
x47 = 22.6066282837989
x48 = -65.3579660167153
x49 = -8.80929825209899
x50 = 0.615479708670387
x51 = -21.3756688664582
x52 = 63.4473327804663
x53 = -81.0659292846642
x54 = -68.4995586703051
x55 = 69.7305180876458
x56 = -77.9243366310744
x57 = 66.5889254340561
x58 = 38.3145915517479
x59 = 101.146444623544
x60 = 85.4384813555948
x61 = -11.9508909056888
x62 = -99.915485206203
x63 = -62.2163733631255
x64 = 44.5977768589275
x65 = -27.6588541736378
x65 = -27.6588541736378