Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x^3-x^2-x-1=0
-
Ecuación 3x-2(3x+4)=10
-
Ecuación 12-4(x-3)=39-9x
-
Ecuación 0,2x+2,7=1,4-1,1x
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- 2*x-15*y=-1
- -18*x-6*y=-1
- 6*x+9*y=-9
- Derivada de:
-
sin(6x)
- Integral de d{x}:
- sin(6x)
- Suma de la serie:
-
(-1/2)
-
Expresiones idénticas
- sin(6x)=(- uno / dos)
- seno de (6x) es igual a ( menos 1 dividir por 2)
- seno de (6x) es igual a ( menos uno dividir por dos)
- sin6x=-1/2
- sin(6x)=(-1 dividir por 2)
-
Expresiones semejantes
- x/3+(x-1)/2=4
- sin(6x+пи)=-√2/2
- cos(2*x)=-1/2
- sin(6x)=(1/2)
- 2/3(1/3x-1/2)=4x+5/2
- sin(2x)=-1/2
- sin(6*x)=9/8
- 3*sin(x)^(2)-3*x-(5/2)*sin(6*x)+1=0
- cos(2x)=-(1/2)
-
Expresiones con funciones
- Seno sin
- sin(x)=1/3
- sin(6*x)=9/8
- sin(2x)=-1/2
- sin(3*x)-cos(3*x)=0
- sin(x)^(2)-sin(x)=0
sin(6x)=(-1/2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(6 x \right)} = - \frac{1}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$6 x = 2 \pi n + \operatorname{asin}{\left(- \frac{1}{2} \right)}$$
$$6 x = 2 \pi n - \operatorname{asin}{\left(- \frac{1}{2} \right)} + \pi$$
O
$$6 x = 2 \pi n - \frac{\pi}{6}$$
$$6 x = 2 \pi n + \frac{7 \pi}{6}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$6$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{3} - \frac{\pi}{36}$$
$$x_{2} = \frac{\pi n}{3} + \frac{7 \pi}{36}$$
$$\sin{\left(6 x \right)} = - \frac{1}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$6 x = 2 \pi n + \operatorname{asin}{\left(- \frac{1}{2} \right)}$$
$$6 x = 2 \pi n - \operatorname{asin}{\left(- \frac{1}{2} \right)} + \pi$$
O
$$6 x = 2 \pi n - \frac{\pi}{6}$$
$$6 x = 2 \pi n + \frac{7 \pi}{6}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$6$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{3} - \frac{\pi}{36}$$
$$x_{2} = \frac{\pi n}{3} + \frac{7 \pi}{36}$$
Suma y producto de raíces
[src]
suma
pi 7*pi - -- + ---- 36 36
$$- \frac{\pi}{36} + \frac{7 \pi}{36}$$
=
pi -- 6
$$\frac{\pi}{6}$$
producto
-pi 7*pi ----*---- 36 36
$$- \frac{\pi}{36} \frac{7 \pi}{36}$$
=
2 -7*pi ------ 1296
$$- \frac{7 \pi^{2}}{1296}$$
-7*pi^2/1296
Respuesta rápida
[src]
-pi
x1 = ----
36
$$x_{1} = - \frac{\pi}{36}$$
7*pi
x2 = ----
36
$$x_{2} = \frac{7 \pi}{36}$$
x2 = 7*pi/36
Respuesta numérica
[src]
x1 = 72.1693645699655
x2 = 56.1123354516177
x3 = -29.7578637465033
x4 = -4.27605666738611
x5 = 6.19591884457987
x6 = 34.1211868764891
x7 = 1816.4514190131
x8 = 21.9038821125288
x9 = 32.0267917740959
x10 = 52.2726110972302
x11 = -53.8434074240251
x12 = 70.0749694675723
x13 = 76.0090889243531
x14 = 80.1978791291394
x15 = -88.0518607631139
x16 = -68.5041731407774
x17 = 16.318828506147
x18 = -51.7490123216319
x19 = -75.8345559991536
x20 = 4.10152374218667
x21 = -36.7391807544806
x22 = 89.9717229403077
x23 = 28.1870674197084
x24 = -17.8896248329419
x25 = 58.2067305540109
x26 = -73.7401608967604
x27 = 18.762289458939
x28 = -15.7952297305487
x29 = 23.998277214922
x30 = -77.9289511015468
x31 = -71.2966999439684
x32 = 48.0838208924438
x33 = 96.2549082474873
x34 = 54.0179403492245
x35 = -31.8522588488965
x36 = 67.9805743651791
x37 = -97.8257045742822
x38 = -66.0607121879854
x39 = -5.67232006898157
x40 = 40.7534380340676
x41 = -9.86111027376796
x42 = -85.9574656607207
x43 = -99.9200996766754
x44 = -95.731309471889
x45 = -49.6546172192387
x46 = -90.1462558655071
x47 = -3.22885911618951
x48 = 45.9894257900506
x49 = -22.0784150377283
x50 = -46.5130245656489
x51 = 60.3011256564041
x52 = -80.02334620394
x53 = 94.1605131450941
x54 = 2.00712863979348
x55 = -59.7775268808058
x56 = 74.2637596723587
x57 = 38.3099770812755
x58 = 12.1300383013606
x59 = -83.8630705583275
x60 = 82.2922742315326
x61 = 100.094632601875
x62 = -63.9663170855922
x63 = 43.8950306876574
x64 = -33.9466539512897
x65 = -93.6369143694958
x66 = -81.7686754559343
x67 = -0.0872664625997165
x68 = 78.1034840267462
x69 = 30.2814625221016
x70 = 50.178215994837
x71 = -44.0695636128568
x72 = 84.3866693339258
x73 = 92.0661180427009
x74 = -55.9378025264183
x75 = 65.8861792627859
x76 = -71.6457657943672
x77 = -27.6634686441101
x78 = -37.7863783056772
x79 = -61.871921983199
x80 = -11.9555053761612
x81 = 98.0002374994816
x82 = 10.0356431989674
x83 = -24.5218759905203
x84 = -7.76671517137477
x85 = 36.2155819788823
x86 = 62.3955207587973
x87 = 14.2244334037538
x88 = 87.8773278379145
x89 = -58.0321976288115
x90 = 26.0926723173152
x91 = 499.076899607779
x92 = -19.9840199353351
x93 = -39.8807734080704
x94 = -41.9751685104636
x94 = -41.9751685104636