Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x^2-6x+9=0
-
Ecuación (x-11)^4=(x+3)^4
-
Ecuación √(x^2-1)^3=2*x
-
Ecuación -x/12+x=55/12
- Expresar {x} en función de y en la ecuación:
- 18*x-11*y=2
- 12*x-14*y=20
- -3*x-20*y=-13
- -16*x+14*y=-9
- Derivada de:
-
sin2x
- Integral de d{x}:
- sin2x
- Gráfico de la función y =:
-
sin2x
-
Expresiones idénticas
- sin2x= cero
- seno de 2x es igual a 0
- seno de 2x es igual a cero
- sin2x=O
-
Expresiones semejantes
- 2*sin(2*x)-1=0
- sin(2*x)-cos(x)=0
- -sin(2*x)-sin(x)=0
sin2x=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(2 x \right)} = 0$$
es la ecuación trigonométrica más simple
Obtenemos:
$$\sin{\left(2 x \right)} = 0$$
Esta ecuación se reorganiza en
$$2 x = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$2 x = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
O
$$2 x = 2 \pi n$$
$$2 x = 2 \pi n + \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \pi n$$
$$x_{2} = \pi n + \frac{\pi}{2}$$
$$\sin{\left(2 x \right)} = 0$$
es la ecuación trigonométrica más simple
cambiando el signo de 0
Obtenemos:
$$\sin{\left(2 x \right)} = 0$$
Esta ecuación se reorganiza en
$$2 x = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$2 x = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
O
$$2 x = 2 \pi n$$
$$2 x = 2 \pi n + \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \pi n$$
$$x_{2} = \pi n + \frac{\pi}{2}$$
Suma y producto de raíces
[src]
suma
pi -- 2
$$\frac{\pi}{2}$$
=
pi -- 2
$$\frac{\pi}{2}$$
producto
pi 0*-- 2
$$0 \frac{\pi}{2}$$
=
0
$$0$$
0
Respuesta numérica
[src]
x1 = 4.71238898038469
x2 = 113.097335529233
x3 = -80.1106126665397
x4 = 100.530964914873
x5 = -81.6814089933346
x6 = -23.5619449019235
x7 = 65.9734457253857
x8 = 26.7035375555132
x9 = -73.8274273593601
x10 = -36.1283155162826
x11 = 86.3937979737193
x12 = -43.9822971502571
x13 = 78.5398163397448
x14 = 31.4159265358979
x15 = -39.2699081698724
x16 = 48.6946861306418
x17 = -64.4026493985908
x18 = -48.6946861306418
x19 = -31.4159265358979
x20 = 590.619418874881
x21 = -20.4203522483337
x22 = 70.6858347057703
x23 = 21.9911485751286
x24 = -53.4070751110265
x25 = 42.4115008234622
x26 = -87.9645943005142
x27 = -67.5442420521806
x28 = 89.5353906273091
x29 = 1.5707963267949
x30 = 14.1371669411541
x31 = -7.85398163397448
x32 = -86.3937979737193
x33 = 94.2477796076938
x34 = 80.1106126665397
x35 = 12.5663706143592
x36 = -29.845130209103
x37 = -21.9911485751286
x38 = -119.380520836412
x39 = -15.707963267949
x40 = -59.6902604182061
x41 = 28.2743338823081
x42 = -75.398223686155
x43 = -9.42477796076938
x44 = -83.2522053201295
x45 = 23.5619449019235
x46 = 51.8362787842316
x47 = -65.9734457253857
x48 = 15.707963267949
x49 = 95.8185759344887
x50 = -95.8185759344887
x51 = -17.2787595947439
x52 = 56.5486677646163
x53 = 34.5575191894877
x54 = -483.805268652828
x55 = 58.1194640914112
x56 = 29.845130209103
x57 = 72.2566310325652
x58 = 0.0
x59 = 92.6769832808989
x60 = 43.9822971502571
x61 = -97.3893722612836
x62 = -58.1194640914112
x63 = 36.1283155162826
x64 = 87.9645943005142
x65 = -45.553093477052
x66 = 67.5442420521806
x67 = 59.6902604182061
x68 = -72.2566310325652
x69 = -37.6991118430775
x70 = -42.4115008234622
x71 = -14.1371669411541
x72 = -28.2743338823081
x73 = -94.2477796076938
x74 = 37.6991118430775
x75 = -50.2654824574367
x76 = 81.6814089933346
x77 = 50.2654824574367
x78 = -61.261056745001
x79 = 20.4203522483337
x80 = -6.28318530717959
x81 = 45.553093477052
x82 = 6.28318530717959
x83 = -51.8362787842316
x84 = 64.4026493985908
x85 = -40.8407044966673
x86 = 73.8274273593601
x87 = -1.5707963267949
x88 = 7.85398163397448
x89 = -89.5353906273091
x89 = -89.5353906273091
Gráfico