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- La ecuación:
-
Ecuación 7+x=4
-
Ecuación 3-3*6+2=x
-
Ecuación |x-2|+|x-4|=3
-
Ecuación (x+2)^2=(1-x)^2
- Expresar {x} en función de y en la ecuación:
- 4*x+15*y=19
- 15*x+10*y=-4
- -2*x-14*y=7
- 12*x+14*y=-15
- Límite de la función:
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sin(4*x)
- Derivada de:
-
sin(4*x)
- Gráfico de la función y =:
-
sin(4*x)
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Expresiones idénticas
- sin(cuatro *x)=-sqrt(dos)/ dos
- seno de (4 multiplicar por x) es igual a menos raíz cuadrada de (2) dividir por 2
- seno de (cuatro multiplicar por x) es igual a menos raíz cuadrada de (dos) dividir por dos
- sin(4*x)=-√(2)/2
- sin(4x)=-sqrt(2)/2
- sin4x=-sqrt2/2
- sin(4*x)=-sqrt(2) dividir por 2
-
Expresiones semejantes
- arccos((7x+5)/13)=arcsin((4x+1)/13)
- sin^4(x)=cos^4(x)-cos(2*x)=0,5
- cos(x/2)=-sqrt2/2
- sin(4*x)=+sqrt(2)/2
- sin(x)=-(sqrt2/2)
- cos(x)=-(sqrt(2)/2)
- sin4x=-((sqrt2)/2)
- sin(x)=-(sqrt(2)/2)
-
Expresiones con funciones
- Seno sin
- sin(x^2)=0
- sin(x)=cos(x)
- sin(x)=3/2
- sin(5*x)=cos(4*x)
- sin(x)-1/2=0
- Raíz cuadrada sqrt
- sqrt(x)=4
- sqrt(5/15-x)=1
- sqrt(x-2)=x-4
- sqrt(x-6)=x-7
- sqrt(x-1)=3-x
sin(4*x)=-sqrt(2)/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___
-\/ 2
sin(4*x) = -------
2
$$\sin{\left(4 x \right)} = \frac{\left(-1\right) \sqrt{2}}{2}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(4 x \right)} = \frac{\left(-1\right) \sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$4 x = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{2}}{2} \right)}$$
$$4 x = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{2}}{2} \right)} + \pi$$
O
$$4 x = 2 \pi n - \frac{\pi}{4}$$
$$4 x = 2 \pi n + \frac{5 \pi}{4}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$4$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2} - \frac{\pi}{16}$$
$$x_{2} = \frac{\pi n}{2} + \frac{5 \pi}{16}$$
$$\sin{\left(4 x \right)} = \frac{\left(-1\right) \sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$4 x = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{2}}{2} \right)}$$
$$4 x = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{2}}{2} \right)} + \pi$$
O
$$4 x = 2 \pi n - \frac{\pi}{4}$$
$$4 x = 2 \pi n + \frac{5 \pi}{4}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$4$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2} - \frac{\pi}{16}$$
$$x_{2} = \frac{\pi n}{2} + \frac{5 \pi}{16}$$
Respuesta rápida
[src]
-pi
x1 = ----
16
$$x_{1} = - \frac{\pi}{16}$$
5*pi
x2 = ----
16
$$x_{2} = \frac{5 \pi}{16}$$
x2 = 5*pi/16
Suma y producto de raíces
[src]
suma
pi 5*pi - -- + ---- 16 16
$$- \frac{\pi}{16} + \frac{5 \pi}{16}$$
=
pi -- 4
$$\frac{\pi}{4}$$
producto
-pi 5*pi ----*---- 16 16
$$- \frac{\pi}{16} \frac{5 \pi}{16}$$
=
2 -5*pi ------ 256
$$- \frac{5 \pi^{2}}{256}$$
-5*pi^2/256
Respuesta numérica
[src]
x1 = -8.05033117482385
x2 = 40.2516558741192
x3 = -25.7217898512664
x4 = 98.3711199655304
x5 = 28.0779843414588
x6 = 109.366694253095
x7 = -59.8866099590554
x8 = -67.7405915930299
x9 = -11.5846229101124
x10 = 43.7859476094077
x11 = 10.4065256650162
x12 = -53.9961237335746
x13 = -77.558068635498
x14 = 57.9231145505618
x15 = -58.3158136322605
x16 = -89.7317401681585
x17 = 72.0602814917159
x18 = 33.9684705669396
x19 = -32.004975158446
x20 = 84.6266521060751
x21 = 77.9507677171967
x22 = 68.5259897564274
x23 = -3.73064127613788
x24 = 4.1233403578366
x25 = 70.0967860832223
x26 = 86.1974484328699
x27 = 65.7770961845363
x28 = -14.7262155637022
x29 = -23.7582944427728
x30 = 87.7682447596649
x31 = 11.9773219918111
x32 = 79.9142631256904
x33 = 94.0514300668444
x34 = -37.8954613839269
x35 = 50.0691329165873
x36 = -44.1786466911065
x37 = -36.7173641388307
x38 = -63.0282026126452
x39 = 90.5171383315559
x40 = 51.2472301616835
x41 = 54.3888228152733
x42 = -19.4386045440868
x43 = 197.723987635308
x44 = -81.877758534184
x45 = 2.55254403104171
x46 = -85.0193511877738
x47 = -15.9043128087983
x48 = 55.9596191420682
x49 = -52.0326283250809
x50 = -17.8678082172919
x51 = 24.5436926061703
x52 = -0.196349540849362
x53 = -74.0237769002095
x54 = -47.712938426395
x55 = -45.7494430179014
x56 = -96.0149254753381
x57 = 62.6355035309465
x58 = 20.2240027074843
x59 = -39.8589567924205
x60 = -97.9784208838317
x61 = -10.0138265833175
x62 = -99.5492172106266
x63 = -61.8501053675491
x64 = -1.76714586764426
x65 = -94.4441291485432
x66 = 48.1056375080937
x67 = 7.2649330114264
x68 = -83.8412539426776
x69 = 29.2560815865549
x70 = 84.2339530243763
x71 = -90.1244392498572
x72 = 13.9408174003047
x73 = -91.6952355766521
x74 = -22.1874981159779
x75 = 42.2151512826128
x76 = -33.5757714852409
x77 = 46.5348411812988
x78 = 18.2605072989907
x79 = 227.176418762712
x80 = -66.169795266235
x81 = 76.3799713904018
x82 = 26.1144889329652
x83 = 62.2428044492478
x84 = -55.5669200603695
x85 = 99.9419162923253
x86 = 6.08683576633022
x87 = 21.7947990342792
x88 = -75.9872723087031
x89 = 64.2062998577414
x90 = 92.0879346583508
x91 = 35.9319659754333
x92 = 32.3976742401447
x93 = -88.1609438413636
x94 = -30.0414797499524
x95 = -80.3069622073891
x96 = -69.7040870015235
x96 = -69.7040870015235
Gráfico