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- La ecuación:
-
Ecuación x^4+2*x^2-8=0
-
Ecuación x*(x^2+8*x+16)=5*(x+4)
-
Ecuación -25-x=-17
-
Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
- Derivada de:
-
sin2x
-
1/2
- Integral de d{x}:
- sin2x
- Gráfico de la función y =:
-
sin2x
- Suma de la serie:
-
1/2
- Límite de la función:
-
1/2
-
Expresiones idénticas
- sin dos x= uno /2
- seno de 2x es igual a 1 dividir por 2
- seno de dos x es igual a uno dividir por 2
- sin2x=1 dividir por 2
-
Expresiones semejantes
- 2*sin(2*x)-cos(x)=sqrt(3)*sin(x)
- 3*exp(-7x)*sin(2x+0.1)-1=0
- sin(2*x)=sqrt(3)/2
sin2x=1/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(2 x \right)} = \frac{1}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{2} \right)}$$
$$2 x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{2} \right)} + \pi$$
O
$$2 x = 2 \pi n + \frac{\pi}{6}$$
$$2 x = 2 \pi n + \frac{5 \pi}{6}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \pi n + \frac{\pi}{12}$$
$$x_{2} = \pi n + \frac{5 \pi}{12}$$
$$\sin{\left(2 x \right)} = \frac{1}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{2} \right)}$$
$$2 x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{2} \right)} + \pi$$
O
$$2 x = 2 \pi n + \frac{\pi}{6}$$
$$2 x = 2 \pi n + \frac{5 \pi}{6}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \pi n + \frac{\pi}{12}$$
$$x_{2} = \pi n + \frac{5 \pi}{12}$$
Respuesta rápida
[src]
pi
x1 = --
12
$$x_{1} = \frac{\pi}{12}$$
5*pi
x2 = ----
12
$$x_{2} = \frac{5 \pi}{12}$$
x2 = 5*pi/12
Suma y producto de raíces
[src]
suma
pi 5*pi -- + ---- 12 12
$$\frac{\pi}{12} + \frac{5 \pi}{12}$$
=
pi -- 2
$$\frac{\pi}{2}$$
producto
pi 5*pi --*---- 12 12
$$\frac{\pi}{12} \frac{5 \pi}{12}$$
=
2 5*pi ----- 144
$$\frac{5 \pi^{2}}{144}$$
5*pi^2/144
Respuesta numérica
[src]
x1 = -81.4196096055355
x2 = -64.6644487863899
x3 = 31.6777259236971
x4 = 6.54498469497874
x5 = -78.2780169519457
x6 = -87.7027949127151
x7 = -40.5789051088682
x8 = -30.1069295969022
x9 = 79.8488132787406
x10 = -21.7293491873294
x11 = 34.8193185772869
x12 = 73.565627971561
x13 = 72.5184304203644
x14 = 37.9609112308767
x15 = -8.11578102177363
x16 = -45.8148928648512
x17 = -9.16297857297023
x18 = -36.3901149040818
x19 = 4.45058959258554
x20 = -1.83259571459405
x21 = 66.2352451131848
x22 = -58.3812634792103
x23 = -65.7116463375865
x24 = 81.9432083811338
x25 = -55.2396708256205
x26 = 50.5272818452358
x27 = -100.269165527074
x28 = -39.5317075576716
x29 = -89.7971900151083
x30 = -83.5140047079287
x31 = -56.2868683768171
x32 = 53.6688744988256
x33 = -37.4373124552784
x34 = -43.720497762458
x35 = -23.8237442897226
x36 = -42.6733002112614
x37 = 26.4417381677141
x38 = 44.2440965380563
x39 = 20.1585528605345
x40 = 70.4240353179712
x41 = 88.2263936883134
x42 = -50.0036830696375
x43 = -15.4461638801498
x44 = 35.8665161284835
x45 = 0.261799387799149
x46 = 64.1408500107916
x47 = -74.0892267471593
x48 = -71.9948316447661
x49 = 59.9520598060052
x50 = 15.9697626557481
x51 = -61.5228561328001
x52 = 7.59218224617533
x53 = -75.1364242983559
x54 = 42.1497014356631
x55 = 57.857664703612
x56 = -31.1541271480988
x57 = -6.02138591938044
x58 = -28.012534494509
x59 = -67.8060414399797
x60 = -17.540558982543
x61 = -93.9859802198946
x62 = -80.3724120543389
x63 = 48.4328867428426
x64 = 51.5744793964324
x65 = 12.8281700021583
x66 = -97.1275728734844
x67 = -12.30457122656
x68 = 45.2912940892529
x69 = -96.0803753222878
x70 = 28.5361332701073
x71 = 86.1319985859202
x72 = -53.1452757232273
x73 = 100.792764302673
x74 = -52.0980781720307
x75 = 94.5095789954929
x76 = 78.801615727544
x77 = 13.8753675533549
x78 = -694.030177055545
x79 = 22.2529479629277
x80 = -14.3989663289532
x81 = -34.2957198016886
x82 = 75.6600230739542
x83 = 56.8104671524154
x84 = 9.68657734856853
x85 = 95.5567765466895
x86 = 92.4151838930998
x87 = -86.6555973615185
x88 = 29.5833308213039
x89 = -59.4284610304069
x89 = -59.4284610304069
Gráfico