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tgx=1/(2tg15) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
             1    
tan(x) = ---------
         2*tan(15)
$$\tan{\left(x \right)} = \frac{1}{2 \tan{\left(15 \right)}}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = \frac{1}{2 \tan{\left(15 \right)}}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{2 \tan{\left(15 \right)}} \right)}$$
O
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{2 \tan{\left(15 \right)}} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
    /    1    \
atan|---------|
    \2*tan(15)/
$$\operatorname{atan}{\left(\frac{1}{2 \tan{\left(15 \right)}} \right)}$$
=
    /    1    \
atan|---------|
    \2*tan(15)/
$$\operatorname{atan}{\left(\frac{1}{2 \tan{\left(15 \right)}} \right)}$$
producto
    /    1    \
atan|---------|
    \2*tan(15)/
$$\operatorname{atan}{\left(\frac{1}{2 \tan{\left(15 \right)}} \right)}$$
=
    /    1    \
atan|---------|
    \2*tan(15)/
$$\operatorname{atan}{\left(\frac{1}{2 \tan{\left(15 \right)}} \right)}$$
atan(1/(2*tan(15)))
Respuesta rápida [src]
         /    1    \
x1 = atan|---------|
         \2*tan(15)/
$$x_{1} = \operatorname{atan}{\left(\frac{1}{2 \tan{\left(15 \right)}} \right)}$$
x1 = atan(1/(2*tan(15)))
Respuesta numérica [src]
x1 = -88.4932529951641
x2 = 65.4447870307357
x3 = -13.0950293090091
x4 = 56.0200090699664
x5 = -44.510955844907
x6 = 100.002306220223
x7 = 12.0377119197093
x8 = -72.7852897272152
x9 = 62.3031943771459
x10 = 43.4536384556072
x11 = 2.61293395893988
x12 = -50.7941411520866
x13 = -97.9180309559335
x14 = -0.528658694649914
x15 = -41.3693631913172
x16 = 90.5775282594541
x17 = 93.7191209130439
x18 = 87.4359356058643
x19 = -82.2100676879845
x20 = 71.7279723379153
x21 = 49.7368237627868
x22 = -47.6525484984968
x23 = -31.9445852305478
x24 = -6.8118440018295
x25 = -25.6613999233683
x26 = -91.6348456487539
x27 = 84.2943429522745
x28 = -79.0684750343948
x29 = -57.0773264592662
x30 = 24.6040825340684
x31 = 81.1527502986847
x32 = -28.8029925769581
x33 = -38.2277705377274
x34 = 34.0288604948378
x35 = -9.95343665541929
x36 = 21.4624898804786
x37 = 59.1616017235562
x38 = 27.7456751876582
x39 = 40.3120458020174
x40 = -66.5021044200356
x41 = 78.0111576450949
x42 = 37.1704531484276
x43 = -19.3782146161887
x44 = -16.2366219625989
x45 = 8.89611926611946
x46 = -94.7764383023437
x47 = -101.059623609523
x48 = -85.3516603415743
x49 = 15.1793045732991
x50 = 52.8784164163766
x51 = -63.3605117664458
x52 = 68.5863796843255
x53 = 74.8695649915051
x54 = -60.218919112856
x55 = 18.3208972268888
x56 = 5.75452661252967
x57 = -22.5198072697785
x58 = -53.9357338056764
x59 = -69.6436970736254
x60 = 96.8607135666337
x61 = 30.887267841248
x62 = -3.67025134823971
x63 = -35.0861778841376
x64 = -75.926882380805
x65 = 46.595231109197
x65 = 46.595231109197