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tan(x)=sqrt(5/3) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
           _____
tan(x) = \/ 5/3
tan⁡(x)=53\tan{\left(x \right)} = \sqrt{\frac{5}{3}}
Simplificar
Solución detallada
Tenemos la ecuación
tan⁡(x)=53\tan{\left(x \right)} = \sqrt{\frac{5}{3}}
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
x=πn+atan⁡(153)x = \pi n + \operatorname{atan}{\left(\frac{\sqrt{15}}{3} \right)}
O
x=πn+atan⁡(153)x = \pi n + \operatorname{atan}{\left(\frac{\sqrt{15}}{3} \right)}
, donde n es cualquier número entero
Gráfica
0-80-60-40-2020406080-100100-1000010000
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
    /  ____\
    |\/ 15 |
atan|------|
    \  3   /
atan⁡(153)\operatorname{atan}{\left(\frac{\sqrt{15}}{3} \right)} 
=
    /  ____\
    |\/ 15 |
atan|------|
    \  3   /
atan⁡(153)\operatorname{atan}{\left(\frac{\sqrt{15}}{3} \right)} 
producto
    /  ____\
    |\/ 15 |
atan|------|
    \  3   /
atan⁡(153)\operatorname{atan}{\left(\frac{\sqrt{15}}{3} \right)} 
=
    /  ____\
    |\/ 15 |
atan|------|
    \  3   /
atan⁡(153)\operatorname{atan}{\left(\frac{\sqrt{15}}{3} \right)} 
atan(sqrt(15)/3)
Respuesta rápida [src] 
         /  ____\
         |\/ 15 |
x1 = atan|------|
         \  3   /
x1=atan⁡(153)x_{1} = \operatorname{atan}{\left(\frac{\sqrt{15}}{3} \right)} 
x1 = atan(sqrt(15)/3)
Respuesta numérica [src] 
x1 = -49.3537441664682
x2 = -2.22985436262131
x3 = -36.787373552109
x4 = -8.51303966980089
x5 = -68.203300088007
x6 = -99.6192266239049
x7 = -80.7696707023661
x8 = -90.1944486631355
x9 = -5.3714470162111
x10 = -61.9201147808274
x11 = -77.6280780487763
x12 = 0.911738290968488
x13 = 22.902886866097
x14 = 54.318813401995
x15 = -46.2121515128784
x16 = -27.3625955913397
x17 = 16.6197015589175
x18 = -55.6369294736478
x19 = 41.7524427876358
x20 = 85.7347399378929
x21 = 7.19492359814807
x22 = 26.0444795196868
x23 = 92.0179252450725
x24 = -17.9378176305703
x25 = -21.0794102841601
x26 = 48.0356280948154
x27 = 88.8763325914827
x28 = 63.7435913627644
x29 = -11.6546323233907
x30 = -24.2210029377499
x31 = -52.495336820058
x32 = 38.610850134046
x33 = -74.4864853951865
x34 = -93.3360413167253
x35 = 82.5931472843031
x36 = 29.1860721732766
x37 = 19.7612942125072
x38 = 51.1772207484052
x39 = 60.6019987091746
x40 = 66.8851840163541
x41 = -83.9112633559559
x42 = 79.4515546307133
x43 = -96.4776339703151
x44 = -33.6457808985192
x45 = 13.4781089053277
x46 = -87.0528560095457
x47 = 35.4692574804562
x48 = 4.05333094455828
x49 = -71.3448927415968
x50 = 44.8940354412256
x51 = 57.4604060555848
x52 = -14.7962249769805
x53 = 76.3099619771235
x54 = -39.9289662056988
x55 = 73.1683693235337
x56 = 98.3011105522521
x57 = 101.442703205842
x58 = 32.3276648268664
x59 = 95.1595178986623
x60 = -65.0617074344172
x61 = 70.0267766699439
x62 = -58.7785221272376
x63 = 10.3365162517379
x64 = -30.5041882449294
x65 = -43.0705588592886
x65 = -43.0705588592886
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