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Cosx=2/5 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
cos(x) = 2/5
cos⁡(x)=25\cos{\left(x \right)} = \frac{2}{5}
Simplificar
Solución detallada
Tenemos la ecuación
cos⁡(x)=25\cos{\left(x \right)} = \frac{2}{5}
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
x=πn+acos⁡(25)x = \pi n + \operatorname{acos}{\left(\frac{2}{5} \right)}
x=πn−π+acos⁡(25)x = \pi n - \pi + \operatorname{acos}{\left(\frac{2}{5} \right)}
O
x=πn+acos⁡(25)x = \pi n + \operatorname{acos}{\left(\frac{2}{5} \right)}
x=πn−π+acos⁡(25)x = \pi n - \pi + \operatorname{acos}{\left(\frac{2}{5} \right)}
, donde n es cualquier número entero
Gráfica
0-80-60-40-2020406080-1001002-2
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
x1 = -acos(2/5) + 2*pi
x1=−acos⁡(25)+2πx_{1} = - \operatorname{acos}{\left(\frac{2}{5} \right)} + 2 \pi 
x2 = acos(2/5)
x2=acos⁡(25)x_{2} = \operatorname{acos}{\left(\frac{2}{5} \right)} 
x2 = acos(2/5)
Suma y producto de raíces [src] 
suma
-acos(2/5) + 2*pi + acos(2/5)
acos⁡(25)+(−acos⁡(25)+2π)\operatorname{acos}{\left(\frac{2}{5} \right)} + \left(- \operatorname{acos}{\left(\frac{2}{5} \right)} + 2 \pi\right) 
=
2*pi
2π2 \pi 
producto
(-acos(2/5) + 2*pi)*acos(2/5)
(−acos⁡(25)+2π)acos⁡(25)\left(- \operatorname{acos}{\left(\frac{2}{5} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{2}{5} \right)} 
=
(-acos(2/5) + 2*pi)*acos(2/5)
(−acos⁡(25)+2π)acos⁡(25)\left(- \operatorname{acos}{\left(\frac{2}{5} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{2}{5} \right)} 
(-acos(2/5) + 2*pi)*acos(2/5)
Respuesta numérica [src] 
x1 = -13.7256500950866
x2 = 93.0885001269664
x3 = 45.1415766309845
x4 = -67.955758898248
x5 = -93.0885001269664
x6 = 55.3893882838889
x7 = 82.840688474062
x8 = -26.2920207094458
x9 = -95.4070590884212
x10 = -5.12390582645218
x11 = -55.3893882838889
x12 = -86.8053148197868
x13 = -17.6902764408113
x14 = 6070.71628621621
x15 = -49.1062029767093
x16 = 30.2566470551705
x17 = 99.371685434146
x18 = 49.1062029767093
x19 = 57.7079472453437
x20 = 63.9911325525233
x21 = -38.8583913238049
x22 = -1.15927948072741
x23 = 76.5575031668824
x24 = 7.44246478790699
x25 = -20.0088354022662
x26 = -7.44246478790699
x27 = -74.2389442054276
x28 = -99.371685434146
x29 = 89.1238737812416
x30 = -89.1238737812416
x31 = -30.2566470551705
x32 = 11.4070911336318
x33 = -42.8230176695297
x34 = -11.4070911336318
x35 = 80.5221295126072
x36 = 23.9734617479909
x37 = 20.0088354022662
x38 = 95.4070590884212
x39 = -45.1415766309845
x40 = 67.955758898248
x41 = 32.5752060166253
x42 = -80.5221295126072
x43 = 143.353982584403
x44 = -76.5575031668824
x45 = 17.6902764408113
x46 = -82.840688474062
x47 = -57.7079472453437
x48 = 1.15927948072741
x49 = 42.8230176695297
x50 = 36.5398323623501
x51 = -36.5398323623501
x52 = 86.8053148197868
x53 = 51.4247619381641
x54 = -23.9734617479909
x55 = 5.12390582645218
x56 = 61.6725735910685
x57 = 13.7256500950866
x58 = 26.2920207094458
x59 = -61.6725735910685
x60 = -63.9911325525233
x61 = 74.2389442054276
x62 = 70.2743178597029
x63 = -51.4247619381641
x64 = -32.5752060166253
x65 = 38.8583913238049
x66 = -70.2743178597029
x66 = -70.2743178597029
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