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- La ecuación:
-
Ecuación x^4=(x-20)^2
-
Ecuación 5-2*(x-1)=4-x
-
Ecuación (x+6)^3=25*(x+6)
- Ecuación x+y+2=0
- Expresar {x} en función de y en la ecuación:
- 2*x+13*y=19
- -12*x+3*y=-9
- 10*x-18*y=3
- 16*x+7*y=8
- Derivada de:
-
cos4x
- Integral de d{x}:
- cos4x
- Gráfico de la función y =:
-
cos4x
-
Expresiones idénticas
- cos4x= cero
- coseno de 4x es igual a 0
- coseno de 4x es igual a cero
- cos4x=O
-
Expresiones semejantes
- cos(4*x)=1
- 4*cos^4(x)-4*cos^2(x)+3cosxsinx+1=0
- sin^4(x)=cos^4(x)-cos(2*x)=0,5
cos4x=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\cos{\left(4 x \right)} = 0$$
es la ecuación trigonométrica más simple
Obtenemos:
$$\cos{\left(4 x \right)} = 0$$
Esta ecuación se reorganiza en
$$4 x = \pi n + \operatorname{acos}{\left(0 \right)}$$
$$4 x = \pi n - \pi + \operatorname{acos}{\left(0 \right)}$$
O
$$4 x = \pi n + \frac{\pi}{2}$$
$$4 x = \pi n - \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$4$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{4} + \frac{\pi}{8}$$
$$x_{2} = \frac{\pi n}{4} - \frac{\pi}{8}$$
$$\cos{\left(4 x \right)} = 0$$
es la ecuación trigonométrica más simple
cambiando el signo de 0
Obtenemos:
$$\cos{\left(4 x \right)} = 0$$
Esta ecuación se reorganiza en
$$4 x = \pi n + \operatorname{acos}{\left(0 \right)}$$
$$4 x = \pi n - \pi + \operatorname{acos}{\left(0 \right)}$$
O
$$4 x = \pi n + \frac{\pi}{2}$$
$$4 x = \pi n - \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$4$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{4} + \frac{\pi}{8}$$
$$x_{2} = \frac{\pi n}{4} - \frac{\pi}{8}$$
Respuesta rápida
[src]
pi
x1 = --
8
$$x_{1} = \frac{\pi}{8}$$
3*pi
x2 = ----
8
$$x_{2} = \frac{3 \pi}{8}$$
x2 = 3*pi/8
Suma y producto de raíces
[src]
suma
pi 3*pi -- + ---- 8 8
$$\frac{\pi}{8} + \frac{3 \pi}{8}$$
=
pi -- 2
$$\frac{\pi}{2}$$
producto
pi 3*pi --*---- 8 8
$$\frac{\pi}{8} \frac{3 \pi}{8}$$
=
2 3*pi ----- 64
$$\frac{3 \pi^{2}}{64}$$
3*pi^2/64
Respuesta numérica
[src]
x1 = 67.9369411338793
x2 = -82.0741080750334
x3 = 70.2931356240716
x4 = 88.3572933822129
x5 = -61.6537558266997
x6 = 66.3661448070844
x7 = 122.914812571701
x8 = 74.2201264410589
x9 = 53.7997741927252
x10 = 5.89048622548086
x11 = 4.31968989868597
x12 = 8.24668071567321
x13 = 96.9966731795849
x14 = 34.164820107789
x15 = -75.0055246044563
x16 = -93.8550805259951
x17 = -78.1471172580461
x18 = 60.0829594999048
x19 = 22.3838476568273
x20 = 96.2112750161874
x21 = 42.0188017417635
x22 = 71.8639319508665
x23 = -49.872783375738
x24 = 9.8174770424681
x25 = 49.872783375738
x26 = -57.7267650097125
x27 = -10.6028752058656
x28 = 45.9457925587507
x29 = -38.0918109247762
x30 = 38.0918109247762
x31 = 104.850654813559
x32 = -23.9546439836222
x33 = -43.5895980685584
x34 = 52.2289778659303
x35 = -20.0276531666349
x36 = -100.138265833175
x37 = 26.3108384738145
x38 = -34.164820107789
x39 = 56.1559686829176
x40 = -42.0188017417635
x41 = -75.7909227678538
x42 = -53.7997741927252
x43 = -5.89048622548086
x44 = 100.138265833175
x45 = -68.7223392972767
x46 = -21.5984494934298
x47 = 84.4303025652257
x48 = 31.8086256175967
x49 = -96.9966731795849
x50 = 23.9546439836222
x51 = 0.392699081698724
x52 = 20.0276531666349
x53 = 12.1736715326604
x54 = -86.0010988920206
x55 = -13.7444678594553
x56 = -35.7356164345839
x57 = -64.009950316892
x58 = -1.96349540849362
x59 = 16.1006623496477
x60 = -16.1006623496477
x61 = -67.9369411338793
x62 = 48.3019870489431
x63 = 86.0010988920206
x64 = -83.6449044018282
x65 = -31.8086256175967
x66 = 82.0741080750334
x67 = 44.3749962319558
x68 = -39.6626072515711
x69 = -56.1559686829176
x70 = 93.8550805259951
x71 = 40.4480054149686
x72 = -87.5718952188155
x73 = 62.4391539900971
x74 = -9.8174770424681
x75 = -27.8816348006094
x76 = 89.9280897090078
x77 = 30.2378292908018
x78 = -79.717913584841
x79 = 78.1471172580461
x80 = 54.5851723561227
x81 = -20.8130513300324
x82 = -17.6714586764426
x83 = -12.1736715326604
x84 = -97.7820713429823
x85 = -60.0829594999048
x86 = 27.8816348006094
x87 = -45.9457925587507
x88 = 92.2842841992002
x89 = -2.74889357189107
x90 = 1.96349540849362
x91 = -71.8639319508665
x92 = -89.9280897090078
x93 = -65.5807466436869
x94 = 64.009950316892
x94 = 64.009950316892
Gráfico