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- La ecuación:
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Ecuación x-x/7=15/7
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Ecuación (x-7)^2=(9-x)^2
-
Ecuación 1-2*(5-2*x)=-x-3
-
Ecuación x^3+4*x^2-x-4=0
- Expresar {x} en función de y en la ecuación:
- -16*x-7*y=-5
- 17*x-11*y=2
- 7*x+19*y=12
- -5*x+5*y=-9
- Derivada de:
-
sin(x/2)
- Límite de la función:
-
sin(x/2)
- Integral de d{x}:
- sin(x/2)
-
Expresiones idénticas
- sin(x/ dos)= uno
- seno de (x dividir por 2) es igual a 1
- seno de (x dividir por dos) es igual a uno
- sinx/2=1
- sin(x dividir por 2)=1
-
Expresiones semejantes
- sin(x/2+pi/6)=1
- sin(x)/2=-sqrt(3)/2
- cos2x/2+4sin2x/2=1-sinx/2
-
Expresiones con funciones
- Seno sin
- sin(x)+cos(x)=-1
- sin(x)=3
- sin(x)=pi/3
- sinx-1=0
- sin(pi*x/4)=1
sin(x/2)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(\frac{x}{2} \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$\frac{x}{2} = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$\frac{x}{2} = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$\frac{x}{2} = 2 \pi n + \frac{\pi}{2}$$
$$\frac{x}{2} = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\frac{1}{2}$$
obtenemos la respuesta:
$$x_{1} = 4 \pi n + \pi$$
$$x_{2} = 4 \pi n + \pi$$
$$\sin{\left(\frac{x}{2} \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$\frac{x}{2} = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$\frac{x}{2} = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$\frac{x}{2} = 2 \pi n + \frac{\pi}{2}$$
$$\frac{x}{2} = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\frac{1}{2}$$
obtenemos la respuesta:
$$x_{1} = 4 \pi n + \pi$$
$$x_{2} = 4 \pi n + \pi$$
Respuesta numérica
[src]
x1 = -59.6902596538675
x2 = 65.9734457530019
x3 = 40.8407035181637
x4 = -97.3893712473886
x5 = -59.6902594740223
x6 = 91.1061882841015
x7 = 53.40707409148
x8 = 91.1061874144797
x9 = -47.1238887712007
x10 = -34.5575182039711
x11 = -47.123889537864
x12 = -9.42477888681821
x13 = 3.14159163746103
x14 = -97.389373195247
x15 = 3.14159131070869
x16 = -72.2566334561862
x17 = 53.4070754394033
x18 = -72.2566320255231
x19 = -84.8230026657071
x20 = -9.42477813898924
x21 = 53.4070740857414
x22 = 78.5398170241526
x23 = -47.1238892482917
x24 = -84.8230020968984
x25 = -84.8229998635885
x26 = 91.1061859410303
x27 = 28.2743348137489
x28 = 65.973446491358
x29 = 15.707964515786
x30 = -84.8230006270304
x31 = 15.7079626060796
x32 = 53.4070749521362
x33 = -9.42477728929078
x34 = -97.389371602892
x35 = 53.4070761022138
x36 = -59.6902612768606
x37 = -47.1238907880697
x38 = -47.1238918185856
x39 = 28.2743330336433
x40 = -59.690260457841
x41 = 65.9734465921985
x42 = 14944.5562553885
x43 = 16741.5472539237
x44 = 15.7079632663563
x45 = 3.14159367655067
x46 = -21.9911485864393
x47 = 40.840704648726
x48 = 78.5398173426089
x49 = 28.2743338651742
x50 = 40.840705066392
x51 = -9.42477839608986
x52 = 78.5398161786998
x53 = -59.6902611573573
x54 = 65.9734449700497
x55 = 65.9734447951365
x56 = -84.8230027834212
x57 = 28.2743346582797
x58 = -21.9911494917557
x59 = 103.672556563684
x60 = 28.2743331152018
x61 = 15.7079634545545
x62 = -84.8230012168657
x63 = -34.5575192441112
x64 = -72.2566304993376
x65 = -34.5575197491116
x66 = -72.2566301070981
x67 = -9.42477695202933
x68 = 40.8407055286336
x69 = 3.14159420425446
x70 = -21.9911493421841
x71 = 53.4070745656255
x72 = -21.9911477182159
x73 = -9.4247756652542
x74 = 15.7079642015151
x75 = -34.5575202139462
x76 = 40.8407041945824
x77 = 3.14159309886503
x78 = 15.7079637526952
x79 = 78.5398154218754
x80 = -47.1238901219454
x81 = -34.5575188772018
x82 = 78.5398162375612
x83 = 78.539815851887
x84 = -21.9911477831607
x85 = 91.1061865344779
x86 = 40.8407056713041
x87 = -97.3893724564835
x88 = 91.1061853899956
x89 = 3.14159221873501
x90 = 91.106187979742
x91 = -72.2566317074393
x92 = 15.7079622686986
x93 = -72.2566308637416
x93 = -72.2566308637416
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