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- La ecuación:
-
Ecuación 2x^2-3x+1=0
-
Ecuación 4x^2-20x=0
-
Ecuación 3*x^2-12*x+9=0
-
Ecuación sin(5x)=-1/2
- Expresar {x} en función de y en la ecuación:
- 10*x+18*y=6
- x^2*y^2+x^2+y^2-14*x*y+2x-2y+37=0
- -18*x-3*y=2
- 18*x+12*y=18
- Derivada de:
-
sin(5x)
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-1/2
- Integral de d{x}:
- sin(5x)
- -1/2
- Suma de la serie:
-
-1/2
-
Expresiones idénticas
- sin(5x)=- uno / dos
- seno de (5x) es igual a menos 1 dividir por 2
- seno de (5x) es igual a menos uno dividir por dos
- sin5x=-1/2
- sin(5x)=-1 dividir por 2
-
Expresiones semejantes
- sin(5*x)=cos(4*x)
- sin(5x)=+1/2
- 6^x-2-1/6^3-x+36^(x-1)/2=246
- cos(x/3)=-(1/2)
- sin(3*x)-sin(4*x)+sin(5*x)=0
- sin5xcos3x-cos5xsin3x=-(sqrt(3)/2)
- sin(5x/2)*sin(3x/2)+cos(5x/2)*cos(3x/2)=0
-
Expresiones con funciones
- Seno sin
- sin(2x)-cos(2x)=3/4
- sin(x)=sqrt(2)/2
- sinx*cospi/8+cosx*sinpi/8=1/2
- sinx=x
- sin(z)=3
sin(5x)=-1/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(5 x \right)} = - \frac{1}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$5 x = 2 \pi n + \operatorname{asin}{\left(- \frac{1}{2} \right)}$$
$$5 x = 2 \pi n - \operatorname{asin}{\left(- \frac{1}{2} \right)} + \pi$$
O
$$5 x = 2 \pi n - \frac{\pi}{6}$$
$$5 x = 2 \pi n + \frac{7 \pi}{6}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$5$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{5} - \frac{\pi}{30}$$
$$x_{2} = \frac{2 \pi n}{5} + \frac{7 \pi}{30}$$
$$\sin{\left(5 x \right)} = - \frac{1}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$5 x = 2 \pi n + \operatorname{asin}{\left(- \frac{1}{2} \right)}$$
$$5 x = 2 \pi n - \operatorname{asin}{\left(- \frac{1}{2} \right)} + \pi$$
O
$$5 x = 2 \pi n - \frac{\pi}{6}$$
$$5 x = 2 \pi n + \frac{7 \pi}{6}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$5$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{5} - \frac{\pi}{30}$$
$$x_{2} = \frac{2 \pi n}{5} + \frac{7 \pi}{30}$$
Respuesta rápida
[src]
-pi
x1 = ----
30
$$x_{1} = - \frac{\pi}{30}$$
7*pi
x2 = ----
30
$$x_{2} = \frac{7 \pi}{30}$$
x2 = 7*pi/30
Suma y producto de raíces
[src]
suma
pi 7*pi - -- + ---- 30 30
$$- \frac{\pi}{30} + \frac{7 \pi}{30}$$
=
pi -- 5
$$\frac{\pi}{5}$$
producto
-pi 7*pi ----*---- 30 30
$$- \frac{\pi}{30} \frac{7 \pi}{30}$$
=
2 -7*pi ------ 900
$$- \frac{7 \pi^{2}}{900}$$
-7*pi^2/900
Respuesta numérica
[src]
x1 = 86.18435846348
x2 = -52.0457182944709
x3 = 26.2846585350346
x4 = -35.709436495804
x5 = 96.2374549549673
x6 = -62.9365728269155
x7 = -41.9926218029836
x8 = -65.868725970266
x9 = 97.9129710368819
x10 = -8.0634211442138
x11 = -72.1519112774456
x12 = 42.2020613132229
x13 = 76.1312619719927
x14 = 60.2138591938044
x15 = -57.9100245811719
x16 = 52.2551578047102
x17 = 62.3082542961976
x18 = 74.0368668695995
x19 = 23.3525053916841
x20 = -37.8038315981972
x21 = -17.6976386152225
x22 = -75.9218224617533
x23 = 28.3790536374278
x24 = -78.0162175641465
x25 = -45.7625329872913
x26 = 6.17846555205993
x27 = 77.8067780539072
x28 = 100.007366139275
x29 = 33.8244809036501
x30 = 45.9719724975306
x31 = 84.0899633610868
x32 = 92.8864227911382
x33 = 50.9985207432743
x34 = -79.6917336460611
x35 = -3.87463093942741
x36 = -0.10471975511966
x37 = -13.9277274309148
x38 = 53.9306738866248
x39 = -81.7861287484543
x40 = -98.1224105471212
x41 = 22.0958683302482
x42 = -11.8333323285216
x43 = 50.160762702317
x44 = -69.6386371545737
x45 = -89.7448301375484
x46 = -91.8392252399416
x47 = -23.9808239224021
x48 = 12.0427718387609
x49 = -55.8156294787787
x50 = -15.6032435128293
x51 = 87.8598745453945
x52 = 9.94837673636768
x53 = 94.1430598525741
x54 = 8.27286065445312
x55 = 38.4321501289151
x56 = 56.025068989018
x57 = -96.028015444728
x58 = -99.7979266290358
x59 = 20.001473227855
x60 = -85.9749189532407
x61 = -71.733032256967
x62 = -47.8569280896845
x63 = -91.0014671989843
x64 = 9.52949771588904
x65 = 70.2669556852917
x66 = -44.0870169053768
x67 = -59.5855406630864
x68 = 43.8775773951374
x69 = 1.98967534727354
x70 = -31.5206462910176
x71 = 40.1076662108297
x72 = -67.9631210726592
x73 = -64.1932098883514
x74 = 32.1489648217356
x75 = 18.3259571459405
x76 = -21.8864288200089
x77 = -25.6563400043166
x78 = -10.157816246607
x79 = -1.78023583703422
x80 = -27.7507351067098
x81 = -34.0339204138894
x82 = 30.0545697193424
x83 = -31.9395253114962
x84 = 66.0781654805053
x85 = 72.3613507876849
x86 = 63.9837703781121
x87 = 82.4144472791722
x88 = -54.1401133968641
x89 = 16.2315620435473
x90 = 89.9542696477877
x91 = -20.629791758573
x92 = -49.1135651511204
x93 = -5.55014702134197
x94 = -88.0693140556339
x94 = -88.0693140556339
Gráfico