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- La ecuación:
-
Ecuación 3^x=2
-
Ecuación (x-11)*(-x+9)=0
-
Ecuación 8*x=2
-
Ecuación 3^x=81
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- 9*x+17*y=13
- -5*x+6*y=-8
-
Expresiones idénticas
- arctan(sin(x))
- arc tangente de ( seno de (x))
- arctansinx
-
Expresiones con funciones
- Seno sin
- sin(2x)=0
- sin(x)=a
- sin(x)^2=1/2
- sin((pi*x)/4)=-1
- sin(x)=sin(3)
arctan(sin(x)) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
atan(sin(x)) = 0
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} = 0$$
Solución detallada
Tenemos la ecuación
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} = 0$$
cambiamos
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} - 1 = 0$$
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} - 1 = 0$$
Sustituimos
$$w = \operatorname{atan}{\left(\sin{\left(x \right)} \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = 1$$
Obtenemos la respuesta: w = 1
hacemos cambio inverso
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} = w$$
sustituimos w:
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} = 0$$
cambiamos
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} - 1 = 0$$
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} - 1 = 0$$
Sustituimos
$$w = \operatorname{atan}{\left(\sin{\left(x \right)} \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = 1$$
Obtenemos la respuesta: w = 1
hacemos cambio inverso
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} = w$$
sustituimos w:
Respuesta numérica
[src]
x1 = 40.8407044966673
x2 = 0.0
x3 = -18.8495559215388
x4 = -56.5486677646163
x5 = 97.3893722612836
x6 = 34.5575191894877
x7 = 53.4070751110265
x8 = 47.1238898038469
x9 = -97.3893722612836
x10 = 62.8318530717959
x11 = 87.9645943005142
x12 = 43.9822971502571
x13 = 37.6991118430775
x14 = -21.9911485751286
x15 = 3.14159265358979
x16 = 69.1150383789755
x17 = 65.9734457253857
x18 = -50.2654824574367
x19 = -94.2477796076938
x20 = 182.212373908208
x21 = -75.398223686155
x22 = -53.4070751110265
x23 = 389.557489045134
x24 = -9.42477796076938
x25 = 12.5663706143592
x26 = -34.5575191894877
x27 = -119.380520836412
x28 = 21.9911485751286
x29 = -47.1238898038469
x30 = -43.9822971502571
x31 = 28.2743338823081
x32 = -31.4159265358979
x33 = -3.14159265358979
x34 = -6.28318530717959
x35 = -25.1327412287183
x36 = -62.8318530717959
x37 = 31.4159265358979
x38 = -65.9734457253857
x39 = 72.2566310325652
x40 = -59.6902604182061
x41 = -12.5663706143592
x42 = -131.946891450771
x43 = 94.2477796076938
x44 = 5274.73406537726
x45 = 81.6814089933346
x46 = 103.672557568463
x47 = -91.106186954104
x48 = 59.6902604182061
x49 = -40.8407044966673
x50 = 91.106186954104
x51 = 78.5398163397448
x52 = -100.530964914873
x53 = 56.5486677646163
x54 = 84.8230016469244
x55 = 100.530964914873
x56 = -69.1150383789755
x57 = 9.42477796076938
x58 = -59784.5081978138
x59 = -84.8230016469244
x60 = 706.858347057703
x61 = -78.5398163397448
x62 = -87.9645943005142
x63 = -81.6814089933346
x64 = 15.707963267949
x65 = -28.2743338823081
x66 = -15.707963267949
x67 = -37.6991118430775
x68 = 18.8495559215388
x69 = 25.1327412287183
x70 = 50.2654824574367
x71 = -72.2566310325652
x72 = 75.398223686155
x73 = 6.28318530717959
x73 = 6.28318530717959