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tan(x)=0,416 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
          52
tan(x) = ---
         125
$$\tan{\left(x \right)} = \frac{52}{125}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = \frac{52}{125}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(\frac{52}{125} \right)}$$
O
$$x = \pi n + \operatorname{atan}{\left(\frac{52}{125} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
         / 52\
x1 = atan|---|
         \125/
$$x_{1} = \operatorname{atan}{\left(\frac{52}{125} \right)}$$
x1 = atan(52/125)
Suma y producto de raíces [src]
suma
    / 52\
atan|---|
    \125/
$$\operatorname{atan}{\left(\frac{52}{125} \right)}$$
=
    / 52\
atan|---|
    \125/
$$\operatorname{atan}{\left(\frac{52}{125} \right)}$$
producto
    / 52\
atan|---|
    \125/
$$\operatorname{atan}{\left(\frac{52}{125} \right)}$$
=
    / 52\
atan|---|
    \125/
$$\operatorname{atan}{\left(\frac{52}{125} \right)}$$
atan(52/125)
Respuesta numérica [src]
x1 = -100.136741976931
x2 = -31.0217035979552
x3 = 60.0844833561488
x4 = -93.8535566697511
x5 = -81.2871860553919
x6 = 31.8101494738407
x7 = 9.8190008987121
x8 = 12.9605935523019
x9 = 100.925187852816
x10 = 44.3765200881998
x11 = -9.03055502282666
x12 = -68.7208154410327
x13 = 6.67740824512231
x14 = 38.0933347810202
x15 = -65.5792227874429
x16 = 53.8012980489692
x17 = 91.5004098920467
x18 = 72.650853970508
x19 = 41.23492743461
x20 = 0.394222937942722
x21 = 16.1021862058917
x22 = -21.5969256371858
x23 = 19.2437788594815
x24 = -53.0128521730838
x25 = -75.0040007482123
x26 = 22.3853715130713
x27 = -46.7296668659042
x28 = -56.1544448266736
x29 = -34.163296251545
x30 = -59.2960374802634
x31 = 63.2260760097386
x32 = -2.74736971564707
x33 = -90.7119640161613
x34 = -43.5880742123144
x35 = -40.4464815587246
x36 = 88.3588172384569
x37 = 56.942890702559
x38 = -62.4376301338531
x39 = -87.5703713625715
x40 = 85.2172245848671
x41 = 66.3676686633284
x42 = -49.871259519494
x43 = 25.5269641666611
x44 = 78.9340392776875
x45 = -78.1455934018021
x46 = -84.4287787089817
x47 = 28.6685568202509
x48 = -12.1721476764165
x49 = 69.5092613169182
x50 = -18.455332983596
x51 = -37.3048889051348
x52 = 94.6420025456365
x53 = 75.7924466240978
x54 = 50.6597053953794
x55 = -5.88896236923686
x56 = 82.0756319312773
x57 = 34.9517421274304
x58 = -24.7385182907756
x59 = -96.9951493233409
x60 = 3.53581559153251
x61 = -27.8801109443654
x62 = -71.8624080946225
x63 = -15.3137403300062
x64 = 47.5181127417896
x65 = 97.7835951992263
x65 = 97.7835951992263