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- La ecuación:
- Ecuación x^2-49=0
-
Ecuación 1-x/2=x/3
-
Ecuación 3*x^2-9=0
-
Ecuación -8x-17=3x-105
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- -19*x+14*y=20
- 5*x-14*y=-15
- Derivada de:
-
sin(3x)
- Integral de d{x}:
- sin(3x)
- Forma canónica:
- sin(3x)
-
Expresiones idénticas
- sin(3x)= cero
- seno de (3x) es igual a 0
- seno de (3x) es igual a cero
- sin3x=0
- sin(3x)=O
-
Expresiones semejantes
- sin(3*x)+sin(x)=0
- sin(3*x-pi/4)=sqrt(3)/2
- sin3x=1
- 2sin3x=-1
-
Expresiones con funciones
- Seno sin
- sin(2x)=0
- sin(x)=a
- sin(x)^2=1/2
- sin(3*x)+sin(x)=0
- sin((pi*x)/4)=-1
sin(3x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(3 x \right)} = 0$$
es la ecuación trigonométrica más simple
Obtenemos:
$$\sin{\left(3 x \right)} = 0$$
Esta ecuación se reorganiza en
$$3 x = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$3 x = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
O
$$3 x = 2 \pi n$$
$$3 x = 2 \pi n + \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{3}$$
$$x_{2} = \frac{2 \pi n}{3} + \frac{\pi}{3}$$
$$\sin{\left(3 x \right)} = 0$$
es la ecuación trigonométrica más simple
cambiando el signo de 0
Obtenemos:
$$\sin{\left(3 x \right)} = 0$$
Esta ecuación se reorganiza en
$$3 x = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$3 x = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
O
$$3 x = 2 \pi n$$
$$3 x = 2 \pi n + \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{3}$$
$$x_{2} = \frac{2 \pi n}{3} + \frac{\pi}{3}$$
Suma y producto de raíces
[src]
suma
pi -- 3
$$\frac{\pi}{3}$$
=
pi -- 3
$$\frac{\pi}{3}$$
producto
pi 0*-- 3
$$0 \frac{\pi}{3}$$
=
0
$$0$$
0
Respuesta numérica
[src]
x1 = -99.4837673636768
x2 = 52.3598775598299
x3 = -37.6991118430775
x4 = 96.342174710087
x5 = -26.1799387799149
x6 = 24.0855436775217
x7 = -81.6814089933346
x8 = 746.651854003174
x9 = -24.0855436775217
x10 = -85.870199198121
x11 = -55.5014702134197
x12 = -98.4365698124802
x13 = 78.5398163397448
x14 = 94.2477796076938
x15 = 87.9645943005142
x16 = 0.0
x17 = -33.5103216382911
x18 = -65.9734457253857
x19 = 72.2566310325652
x20 = 59.6902604182061
x21 = 8.37758040957278
x22 = -68.0678408277789
x23 = -4.18879020478639
x24 = -61.7846555205993
x25 = 43.9822971502571
x26 = -31.4159265358979
x27 = 41.8879020478639
x28 = -92.1533845053006
x29 = -48.1710873550435
x30 = 54.4542726622231
x31 = 56.5486677646163
x32 = -79.5870138909414
x33 = 61.7846555205993
x34 = 6.28318530717959
x35 = 109.955742875643
x36 = 39.7935069454707
x37 = 90.0589894029074
x38 = -39.7935069454707
x39 = -35.6047167406843
x40 = 74.3510261349584
x41 = -63.8790506229925
x42 = -87.9645943005142
x43 = 48.1710873550435
x44 = 32.4631240870945
x45 = -28.2743338823081
x46 = -21.9911485751286
x47 = -6.28318530717959
x48 = 34.5575191894877
x49 = -8.37758040957278
x50 = -43.9822971502571
x51 = 70.162235930172
x52 = -13.6135681655558
x53 = 21.9911485751286
x54 = 15.707963267949
x55 = -77.4926187885482
x56 = 63.8790506229925
x57 = -15.707963267949
x58 = -17.8023583703422
x59 = 85.870199198121
x60 = 17.8023583703422
x61 = -10.471975511966
x62 = -59.6902604182061
x63 = -11.5191730631626
x64 = -57.5958653158129
x65 = 80.634211442138
x66 = 92.1533845053006
x67 = -46.0766922526503
x68 = 30.3687289847013
x69 = 19.8967534727354
x70 = -19.8967534727354
x71 = 26.1799387799149
x72 = 68.0678408277789
x73 = -41.8879020478639
x74 = 76.4454212373516
x75 = 98.4365698124802
x76 = 100.530964914873
x77 = -90.0589894029074
x78 = -70.162235930172
x79 = -94.2477796076938
x80 = -29.3215314335047
x81 = 4.18879020478639
x82 = 28.2743338823081
x83 = 50.2654824574367
x84 = 81.6814089933346
x85 = 37.6991118430775
x86 = -54.4542726622231
x87 = -83.7758040957278
x88 = 83.7758040957278
x89 = 10.471975511966
x90 = 46.0766922526503
x91 = 65.9734457253857
x92 = -72.2566310325652
x93 = -2.0943951023932
x94 = -50.2654824574367
x95 = 569.675467850949
x96 = 2.0943951023932
x96 = 2.0943951023932
Gráfico