Sr Examen
-2*3^(1\2)*pi*sin(x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$- 2 \sqrt{3} \pi \sin{\left(x \right)} = 0$$
es la ecuación trigonométrica más simple
Obtenemos:
$$- 2 \sqrt{3} \pi \sin{\left(x \right)} = 0$$
La ecuación se convierte en
$$\sin{\left(x \right)} = 0$$
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
O
$$x = 2 \pi n$$
$$x = 2 \pi n + \pi$$
, donde n es cualquier número entero
$$- 2 \sqrt{3} \pi \sin{\left(x \right)} = 0$$
es la ecuación trigonométrica más simple
cambiando el signo de 0
Obtenemos:
$$- 2 \sqrt{3} \pi \sin{\left(x \right)} = 0$$
Dividamos ambos miembros de la ecuación en -2*pi*sqrt(3)
La ecuación se convierte en
$$\sin{\left(x \right)} = 0$$
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
O
$$x = 2 \pi n$$
$$x = 2 \pi n + \pi$$
, donde n es cualquier número entero
Respuesta numérica
[src]
x1 = 40.8407044966673
x2 = -267.035375555132
x3 = 0.0
x4 = -18.8495559215388
x5 = -56.5486677646163
x6 = 97.3893722612836
x7 = 34.5575191894877
x8 = 53.4070751110265
x9 = 47.1238898038469
x10 = -97.3893722612836
x11 = 62.8318530717959
x12 = 87.9645943005142
x13 = 43.9822971502571
x14 = 37.6991118430775
x15 = -21.9911485751286
x16 = 3.14159265358979
x17 = 69.1150383789755
x18 = 65.9734457253857
x19 = -50.2654824574367
x20 = -94.2477796076938
x21 = -75.398223686155
x22 = -53.4070751110265
x23 = 12.5663706143592
x24 = -9.42477796076938
x25 = -113.097335529233
x26 = -34.5575191894877
x27 = 21.9911485751286
x28 = -47.1238898038469
x29 = -43.9822971502571
x30 = 28.2743338823081
x31 = -31.4159265358979
x32 = -3.14159265358979
x33 = -6.28318530717959
x34 = -25.1327412287183
x35 = -62.8318530717959
x36 = 31.4159265358979
x37 = -65.9734457253857
x38 = 72.2566310325652
x39 = -59.6902604182061
x40 = 94.2477796076938
x41 = 81.6814089933346
x42 = -91.106186954104
x43 = -100.530964914873
x44 = 59.6902604182061
x45 = -40.8407044966673
x46 = 91.106186954104
x47 = 78.5398163397448
x48 = -12.5663706143592
x49 = 56.5486677646163
x50 = 84.8230016469244
x51 = 100.530964914873
x52 = -69.1150383789755
x53 = 9.42477796076938
x54 = -84.8230016469244
x55 = -78.5398163397448
x56 = -87.9645943005142
x57 = -81.6814089933346
x58 = 15.707963267949
x59 = -28.2743338823081
x60 = -15.707963267949
x61 = -37.6991118430775
x62 = 18.8495559215388
x63 = 25.1327412287183
x64 = 50.2654824574367
x65 = -72.2566310325652
x66 = 75.398223686155
x67 = -232.477856365645
x68 = 6.28318530717959
x68 = 6.28318530717959