Sr Examen

Otras calculadoras


cos(x)=1/6

cos(x)=1/6 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cos(x) = 1/6
$$\cos{\left(x \right)} = \frac{1}{6}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = \frac{1}{6}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(\frac{1}{6} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{1}{6} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(\frac{1}{6} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{1}{6} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
-acos(1/6) + 2*pi + acos(1/6)
$$\operatorname{acos}{\left(\frac{1}{6} \right)} + \left(- \operatorname{acos}{\left(\frac{1}{6} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(1/6) + 2*pi)*acos(1/6)
$$\left(- \operatorname{acos}{\left(\frac{1}{6} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{1}{6} \right)}$$
=
(-acos(1/6) + 2*pi)*acos(1/6)
$$\left(- \operatorname{acos}{\left(\frac{1}{6} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{1}{6} \right)}$$
(-acos(1/6) + 2*pi)*acos(1/6)
Respuesta rápida [src]
x1 = -acos(1/6) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(\frac{1}{6} \right)} + 2 \pi$$
x2 = acos(1/6)
$$x_{2} = \operatorname{acos}{\left(\frac{1}{6} \right)}$$
x2 = acos(1/6)
Respuesta numérica [src]
x1 = 95.651127855269
x2 = 4.87983705960438
x3 = 80.2780607457594
x4 = 86.561246052939
x5 = 89.3679425480894
x6 = -95.651127855269
x7 = 61.4285048242207
x8 = -1.40334824757521
x9 = -7.68653355475479
x10 = 99.1276166672982
x11 = -80.2780607457594
x12 = -89.3679425480894
x13 = -26.5360894762936
x14 = -83.0847572409098
x15 = -57.9520160121915
x16 = 39.1024600906527
x17 = -17.4462076739636
x18 = 1.40334824757521
x19 = -20.252904169114
x20 = 30.0125782883227
x21 = -55.1453195170411
x22 = 23.7293929811431
x23 = 45.3856453978323
x24 = -64.2352013193711
x25 = 32.8192747834731
x26 = 67.7116901314002
x27 = -76.8015719337302
x28 = -13.9697188619344
x29 = 36.2957635955023
x30 = 57.9520160121915
x31 = 51.6688307050119
x32 = 20.252904169114
x33 = 7.68653355475479
x34 = 76.8015719337302
x35 = -4.87983705960438
x36 = -30.0125782883227
x37 = 70.5183866265507
x38 = -61.4285048242207
x39 = -92.8444313601186
x40 = 73.9948754385798
x41 = -70.5183866265507
x42 = 42.5789489026819
x43 = -45.3856453978323
x44 = -32.8192747834731
x45 = -39.1024600906527
x46 = 13.9697188619344
x47 = 55.1453195170411
x48 = 17.4462076739636
x49 = 92.8444313601186
x50 = -48.8621342098615
x51 = -67.7116901314002
x52 = 83.0847572409098
x53 = -11.163022366784
x54 = -42.5789489026819
x55 = 64.2352013193711
x56 = 26.5360894762936
x57 = -23.7293929811431
x58 = 11.163022366784
x59 = 48.8621342098615
x60 = -36.2957635955023
x61 = -73.9948754385798
x62 = -99.1276166672982
x63 = -86.561246052939
x64 = -51.6688307050119
x64 = -51.6688307050119
Gráfico
cos(x)=1/6 la ecuación