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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
- Derivada de:
-
sin5x
- Integral de d{x}:
- sin5x
- Gráfico de la función y =:
- sin5x
-
Expresiones idénticas
- sin5x= cero
- seno de 5x es igual a 0
- seno de 5x es igual a cero
- sin5x=O
-
Expresiones semejantes
- sin(5*x)=1
- sin(5*x)=-1
- sin(5*x)=-1/2
- sin(5*x)=0
sin5x=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(5 x \right)} = 0$$
es la ecuación trigonométrica más simple
Obtenemos:
$$\sin{\left(5 x \right)} = 0$$
Esta ecuación se reorganiza en
$$5 x = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$5 x = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
O
$$5 x = 2 \pi n$$
$$5 x = 2 \pi n + \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$5$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{5}$$
$$x_{2} = \frac{2 \pi n}{5} + \frac{\pi}{5}$$
$$\sin{\left(5 x \right)} = 0$$
es la ecuación trigonométrica más simple
cambiando el signo de 0
Obtenemos:
$$\sin{\left(5 x \right)} = 0$$
Esta ecuación se reorganiza en
$$5 x = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$5 x = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
O
$$5 x = 2 \pi n$$
$$5 x = 2 \pi n + \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$5$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{5}$$
$$x_{2} = \frac{2 \pi n}{5} + \frac{\pi}{5}$$
Suma y producto de raíces
[src]
suma
pi -- 5
$$\frac{\pi}{5}$$
=
pi -- 5
$$\frac{\pi}{5}$$
producto
pi 0*-- 5
$$0 \frac{\pi}{5}$$
=
0
$$0$$
0
Respuesta numérica
[src]
x1 = 52.7787565803085
x2 = -98.0176907920015
x3 = 101.159283445591
x4 = -47.7522083345649
x5 = -49.6371639267187
x6 = 86.0796387083603
x7 = -71.6283125018473
x8 = 33.9292006587698
x9 = -77.9114978090269
x10 = -74.1415866247191
x11 = -67.8584013175395
x12 = 60.318578948924
x13 = 96.1327351998477
x14 = -81.6814089933346
x15 = -54.0353936417444
x16 = 65.9734457253857
x17 = 189.752196276824
x18 = -43.9822971502571
x19 = 18.2212373908208
x20 = 48.3805268652828
x21 = 10.0530964914873
x22 = -23.8761041672824
x23 = -64.0884901332318
x24 = 52.1504380495906
x25 = 42.0973415581032
x26 = 21.9911485751286
x27 = -96.1327351998477
x28 = -87.9645943005142
x29 = 54.0353936417444
x30 = 94.2477796076938
x31 = -33.9292006587698
x32 = 26.3893782901543
x33 = -93.6194610769758
x34 = -45.867252742411
x35 = 11.3097335529233
x36 = 62.2035345410779
x37 = 5.65486677646163
x38 = 1.88495559215388
x39 = -27.6460153515902
x40 = 55.9203492338983
x41 = -3.76991118430775
x42 = -21.9911485751286
x43 = -69.7433569096934
x44 = -15.707963267949
x45 = -59.6902604182061
x46 = 28.2743338823081
x47 = -5.65486677646163
x48 = 77.9114978090269
x49 = 8.16814089933346
x50 = 32.0442450666159
x51 = -65.9734457253857
x52 = -57.8053048260522
x53 = -10.0530964914873
x54 = -79.7964534011807
x55 = 70.3716754404114
x56 = -86.0796387083603
x57 = 98.0176907920015
x58 = 67.8584013175395
x59 = -25.7610597594363
x60 = 38.3274303737955
x61 = 72.2566310325652
x62 = 11.9380520836412
x63 = 0.0
x64 = 23.8761041672824
x65 = -55.9203492338983
x66 = -20.1061929829747
x67 = 45.867252742411
x68 = 43.9822971502571
x69 = -89.8495498926681
x70 = 87.9645943005142
x71 = -52.7787565803085
x72 = 64.0884901332318
x73 = 92.3628240155399
x74 = -1.88495559215388
x75 = -37.6991118430775
x76 = 30.159289474462
x77 = -35.8141562509236
x78 = -76.026542216873
x79 = 74.1415866247191
x80 = 20.1061929829747
x81 = -13.8230076757951
x82 = -42.0973415581032
x83 = 50.2654824574367
x84 = -91.734505484822
x85 = 84.1946831162065
x86 = -32.0442450666159
x87 = 6.28318530717959
x88 = 40.2123859659494
x89 = 89.2212313619501
x90 = 82.3097275240526
x91 = 16.3362817986669
x92 = 99.9026463841554
x93 = -11.9380520836412
x94 = 5.02654824574367
x95 = 76.026542216873
x96 = -99.9026463841554
x96 = -99.9026463841554
Gráfico