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cos(x)=-1/3

cos(x)=-1/3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cos(x) = -1/3
$$\cos{\left(x \right)} = - \frac{1}{3}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = - \frac{1}{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(- \frac{1}{3} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{1}{3} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(- \frac{1}{3} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{1}{3} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
-acos(-1/3) + 2*pi + acos(-1/3)
$$\operatorname{acos}{\left(- \frac{1}{3} \right)} + \left(- \operatorname{acos}{\left(- \frac{1}{3} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(-1/3) + 2*pi)*acos(-1/3)
$$\left(- \operatorname{acos}{\left(- \frac{1}{3} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{1}{3} \right)}$$
=
(-acos(-1/3) + 2*pi)*acos(-1/3)
$$\left(- \operatorname{acos}{\left(- \frac{1}{3} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{1}{3} \right)}$$
(-acos(-1/3) + 2*pi)*acos(-1/3)
Respuesta rápida [src]
x1 = -acos(-1/3) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(- \frac{1}{3} \right)} + 2 \pi$$
x2 = acos(-1/3)
$$x_{2} = \operatorname{acos}{\left(- \frac{1}{3} \right)}$$
x2 = acos(-1/3)
Respuesta numérica [src]
x1 = 14.4770038506082
x2 = -16.9389226852897
x3 = -45.8929303865061
x4 = 45.8929303865061
x5 = 98.6203316786244
x6 = -73.487590449906
x7 = 35.7884786068285
x8 = -10.6557373781102
x9 = -79.7707757570856
x10 = -77.3088569224041
x11 = 64.7424863080449
x12 = 54.6380345283673
x13 = -8.19381854342861
x14 = 96.1584128439428
x15 = -42.0716639140081
x16 = 16.9389226852897
x17 = -64.7424863080449
x18 = -98.6203316786244
x19 = 155.168999443241
x20 = -96.1584128439428
x21 = -54.6380345283673
x22 = -23.2221079924693
x23 = 89.8752275367632
x24 = 71.0256716152245
x25 = 67.2044051427264
x26 = -83.5920422295836
x27 = -92.3371463714448
x28 = 58.4593010008653
x29 = 33.326559772147
x30 = -71.0256716152245
x31 = 79.7707757570856
x32 = -60.9212198355468
x33 = 4.37255207093057
x34 = -20.7601891577878
x35 = -86.0539610642652
x36 = -33.326559772147
x37 = 42.0716639140081
x38 = 20.7601891577878
x39 = -67.2044051427264
x40 = -58.4593010008653
x41 = 23.2221079924693
x42 = -971.983089376587
x43 = 8.19381854342861
x44 = 83.5920422295836
x45 = 48.3548492211877
x46 = -27.0433744649674
x47 = -35.7884786068285
x48 = 39.6097450793265
x49 = 86.0539610642652
x50 = -14.4770038506082
x51 = -4.37255207093057
x52 = 60.9212198355468
x53 = 10.6557373781102
x54 = 52.1761156936857
x55 = 92.3371463714448
x56 = -48.3548492211877
x57 = -52.1761156936857
x58 = -39.6097450793265
x59 = -1.91063323624902
x60 = 29.5052932996489
x61 = -89.8752275367632
x62 = 77.3088569224041
x63 = 1.91063323624902
x64 = 73.487590449906
x65 = 3328.17757956893
x66 = 27.0433744649674
x67 = -29.5052932996489
x67 = -29.5052932996489
Gráfico
cos(x)=-1/3 la ecuación