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tg(x)=-2/5 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
tan(x) = -2/5
$$\tan{\left(x \right)} = - \frac{2}{5}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = - \frac{2}{5}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(- \frac{2}{5} \right)}$$
O
$$x = \pi n - \operatorname{atan}{\left(\frac{2}{5} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
-atan(2/5)
$$- \operatorname{atan}{\left(\frac{2}{5} \right)}$$
=
-atan(2/5)
$$- \operatorname{atan}{\left(\frac{2}{5} \right)}$$
producto
-atan(2/5)
$$- \operatorname{atan}{\left(\frac{2}{5} \right)}$$
=
-atan(2/5)
$$- \operatorname{atan}{\left(\frac{2}{5} \right)}$$
-atan(2/5)
Respuesta rápida [src]
x1 = -atan(2/5)
$$x_{1} = - \operatorname{atan}{\left(\frac{2}{5} \right)}$$
x1 = -atan(2/5)
Respuesta numérica [src]
x1 = -50.6459888345491
x2 = -16.0884696450613
x3 = -3.52209903070216
x4 = 90.7256805769916
x5 = 27.8938275051958
x6 = 81.3009026162223
x7 = 24.752234851606
x8 = -72.6371374096776
x9 = -38.0796182201899
x10 = 68.7345320018631
x11 = -56.9291741417286
x12 = -69.4955447560878
x13 = 2.76108627647743
x14 = 15.3274568908366
x15 = -82.061915370447
x16 = -88.3451006776266
x17 = 34.1770128123754
x18 = 93.8672732305814
x19 = 59.3097540410937
x20 = -22.3716549522409
x21 = -78.9203227168572
x22 = -47.5043961809593
x23 = -94.6282859848062
x24 = 87.5840879234018
x25 = -75.7787300632674
x26 = 12.1858642372468
x27 = -41.2212108737797
x28 = 18.4690495444264
x29 = -34.9380255666001
x30 = -31.7964329130103
x31 = -19.2300622986511
x32 = -0.380506377112365
x33 = -85.2035080240368
x34 = 40.4601981195549
x35 = -66.353952102498
x36 = -91.4866933312164
x37 = 31.0354201587856
x38 = -53.7875814881388
x39 = 46.7433834267345
x40 = 97.0088658841712
x41 = -97.769878638396
x42 = 56.1681613875039
x43 = 5.90267893006722
x44 = -100.911471291986
x45 = -28.6548402594205
x46 = -12.9468769914715
x47 = 78.1593099626325
x48 = 21.6106421980162
x49 = -44.3628035273695
x50 = 84.4424952698121
x51 = 65.5929393482733
x52 = 53.0265687339141
x53 = -9.80528433788174
x54 = 100.150458537761
x55 = 43.6017907731447
x56 = 37.3186054659652
x57 = -63.2123594489082
x58 = 9.04427158365701
x59 = 49.8849760803243
x60 = 62.4513466946835
x61 = 71.8761246554529
x62 = -6.66369168429195
x63 = -25.5132476058307
x64 = 75.0177173090427
x65 = -60.0707667953184
x65 = -60.0707667953184