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cos(x)=-(2/5)

cos(x)=-(2/5) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cos(x) = -2/5
$$\cos{\left(x \right)} = - \frac{2}{5}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = - \frac{2}{5}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(- \frac{2}{5} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{2}{5} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(- \frac{2}{5} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{2}{5} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
-acos(-2/5) + 2*pi + acos(-2/5)
$$\operatorname{acos}{\left(- \frac{2}{5} \right)} + \left(- \operatorname{acos}{\left(- \frac{2}{5} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(-2/5) + 2*pi)*acos(-2/5)
$$\left(- \operatorname{acos}{\left(- \frac{2}{5} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{2}{5} \right)}$$
=
(-acos(-2/5) + 2*pi)*acos(-2/5)
$$\left(- \operatorname{acos}{\left(- \frac{2}{5} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{2}{5} \right)}$$
(-acos(-2/5) + 2*pi)*acos(-2/5)
Respuesta rápida [src]
x1 = -acos(-2/5) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(- \frac{2}{5} \right)} + 2 \pi$$
x2 = acos(-2/5)
$$x_{2} = \operatorname{acos}{\left(- \frac{2}{5} \right)}$$
x2 = acos(-2/5)
Respuesta numérica [src]
x1 = -27.1150544015807
x2 = -20.8318690944011
x3 = 27.1150544015807
x4 = 77.3805368590174
x5 = 33.3982397087603
x6 = 8.26549848004197
x7 = 16.8672427486764
x8 = 64.8141662446583
x9 = -4.3008721343172
x10 = -73.4159105132927
x11 = -89.9469074733766
x12 = -71.0973515518378
x13 = -14.5486837872216
x14 = -8.26549848004197
x15 = -54.5663545917539
x16 = -64.8141662446583
x17 = 89.9469074733766
x18 = 60.8495398989335
x19 = 79.6990958204722
x20 = -83.663722166197
x21 = 58.5309809374787
x22 = -1.98231317286238
x23 = 96.2300927805562
x24 = -23.150428055856
x25 = 1.98231317286238
x26 = 4.3008721343172
x27 = 20.8318690944011
x28 = 45.9646103231195
x29 = 29.4336133630355
x30 = -10.5840574414968
x31 = -45.9646103231195
x32 = 54.5663545917539
x33 = -98.548651742011
x34 = -77.3805368590174
x35 = -92.2654664348314
x36 = 83.663722166197
x37 = 39.6814250159399
x38 = 98.548651742011
x39 = -67.1327252061131
x40 = -52.2477956302991
x41 = 35.7167986702151
x42 = -41.9999839773947
x43 = 14.5486837872216
x44 = 73.4159105132927
x45 = 48.2831692845743
x46 = -39.6814250159399
x47 = 92.2654664348314
x48 = 10.5840574414968
x49 = -16.8672427486764
x50 = -33.3982397087603
x51 = -60.8495398989335
x52 = 23.150428055856
x53 = -58.5309809374787
x54 = 41.9999839773947
x55 = 67.1327252061131
x56 = -5822.53046658261
x57 = 71.0973515518378
x58 = -96.2300927805562
x59 = 52.2477956302991
x60 = -48.2831692845743
x61 = 85.9822811276518
x62 = -35.7167986702151
x63 = -29.4336133630355
x64 = -85.9822811276518
x65 = -79.6990958204722
x65 = -79.6990958204722
Gráfico
cos(x)=-(2/5) la ecuación