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- La ecuación:
-
Ecuación x^2+5x=36
-
Ecuación 3*x=8
-
Ecuación 9-7(x+3)=5-6x
-
Ecuación 4x-5=3+2(x+1)
- Expresar {x} en función de y en la ecuación:
- -17*x+2*y=9
- 10*x-15*y=16
- -17*x+2*y=-4
- -2*x-19*y=3
- Gráfico de la función y =:
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sin(5*x)
- Integral de d{x}:
- sin(5*x)
- Derivada de:
-
sin(5*x)
-
Expresiones idénticas
- sin(cinco *x)= uno
- seno de (5 multiplicar por x) es igual a 1
- seno de (cinco multiplicar por x) es igual a uno
- sin(5x)=1
- sin5x=1
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Expresiones semejantes
- sin5x=0
-
Expresiones con funciones
- Seno sin
- sin(x)=1/2
- sin(x)-sqrt(2)/2=0
- sin(x)/x=1
- sin(x)=-0,5
- sin(x)+cos(x)=0,5
sin(5*x)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(5 x \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$5 x = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$5 x = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$5 x = 2 \pi n + \frac{\pi}{2}$$
$$5 x = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$5$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{5} + \frac{\pi}{10}$$
$$x_{2} = \frac{2 \pi n}{5} + \frac{\pi}{10}$$
$$\sin{\left(5 x \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$5 x = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$5 x = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$5 x = 2 \pi n + \frac{\pi}{2}$$
$$5 x = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$5$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{5} + \frac{\pi}{10}$$
$$x_{2} = \frac{2 \pi n}{5} + \frac{\pi}{10}$$
Suma y producto de raíces
[src]
suma
pi -- 10
$$\frac{\pi}{10}$$
=
pi -- 10
$$\frac{\pi}{10}$$
producto
pi -- 10
$$\frac{\pi}{10}$$
=
pi -- 10
$$\frac{\pi}{10}$$
pi/10
Respuesta numérica
[src]
x1 = 75.7123830282674
x2 = -87.6504350932086
x3 = -22.3053077773099
x4 = 24.1902634875252
x5 = 50.579641691231
x6 = -57.4911456477088
x7 = 44.2964563849706
x8 = -90.1637090664418
x9 = 48.0663674154127
x10 = 17.9070782948399
x11 = -70.0575161253882
x12 = 38.0132710906981
x13 = -63.7743308484076
x14 = 6.59734458065606
x15 = 40.5265451499163
x16 = -47.4380491254335
x17 = 14.1371670477357
x18 = 31.7300858868767
x19 = -34.8716784592049
x20 = 88.2787535460736
x21 = -16.0221225103299
x22 = 71.9424718164574
x23 = 27.9601746544561
x24 = -97.7035315572951
x25 = 68.1725606607797
x26 = 29.21681174899
x27 = -32.3584043768638
x28 = -49.9513232902855
x29 = 17.9070781942786
x30 = 71.9424718168781
x31 = 88.2787533397037
x32 = 74.4557458008934
x33 = -66.2876049139838
x34 = 7.85398172163012
x35 = -13.5088485001991
x36 = -60.0044196784197
x37 = -67.5442421413666
x38 = -19.7920336817869
x39 = 41.7831823887039
x40 = -93.9336205269205
x41 = 20.4203521654844
x42 = -33.6150414656421
x43 = 81.9955682638526
x44 = 51.8362788758192
x45 = 21.67698935198
x46 = -73.8274272814964
x47 = -43.6681379346309
x48 = 16.6504412743164
x49 = -9.73893723410038
x50 = 64.4026493205741
x51 = 92.048664652016
x52 = 34.243359929156
x53 = -29.8451301030746
x54 = 85.7654795375399
x55 = 10.3672556912883
x56 = -23.5619449885447
x57 = -37.3849525044987
x58 = 98.3318500076337
x59 = -81.3672495508249
x60 = 54.3495528490555
x61 = -76.3407014731634
x62 = -46.1814119134379
x63 = -53.7212343961928
x64 = -5.96902609116739
x65 = 60.6327383913504
x66 = 94.5619388168119
x67 = -2.19911476168457
x68 = -80.1106125902406
x69 = -77.5973386216882
x70 = 0.31415922475457
x71 = -3.45575199070453
x72 = 11.623892685602
x73 = -36.1283154337195
x74 = -53.7212346026701
x75 = -56.2345084047172
x76 = 95.8185760288222
x77 = 84.5088422945471
x78 = -100.216805553554
x79 = -12.2522112577381
x80 = -86.3937982181784
x81 = -91.4203462510066
x82 = 61.8893753520228
x83 = 36.7566342760199
x84 = -26.0752189647962
x85 = 55.6061897240307
x86 = 78.2256570938614
x87 = 65.6592864690668
x88 = 30.4734486494869
x88 = 30.4734486494869
Gráfico