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- La ecuación:
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Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
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Ecuación x(x^2+2x+1)=6(x+1)
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Ecuación 4x+1=-3x+15
- Ecuación (3x−36)⋅(x+8)=0
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -9*x+11*y=9
- -4*x-8*y=-20
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Expresiones idénticas
- sin(6x+пи)=-√ dos / dos
- seno de (6x más пи) es igual a menos √2 dividir por 2
- seno de (6x más пи) es igual a menos √ dos dividir por dos
- sin6x+пи=-√2/2
- sin(6x+пи)=-√2 dividir por 2
-
Expresiones semejantes
- sin(6x-пи)=-√2/2
- sin(6x+пи)=+√2/2
-
Expresiones con funciones
- Seno sin
- sin(x)=pi
- sin(4*x)=0
- sin(x)^2=1
- sin(x)=(1/2)
- sin(x)+sin(2*x)+sin(3*x)=0
sin(6x+пи)=-√2/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___
-\/ 2
sin(6*x + pi) = -------
2
$$\sin{\left(6 x + \pi \right)} = \frac{\left(-1\right) \sqrt{2}}{2}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(6 x + \pi \right)} = \frac{\left(-1\right) \sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
La ecuación se convierte en
$$\sin{\left(6 x \right)} = \frac{\sqrt{2}}{2}$$
Esta ecuación se reorganiza en
$$6 x = 2 \pi n + \operatorname{asin}{\left(\frac{\sqrt{2}}{2} \right)}$$
$$6 x = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{2}}{2} \right)} + \pi$$
O
$$6 x = 2 \pi n + \frac{\pi}{4}$$
$$6 x = 2 \pi n + \frac{3 \pi}{4}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$6$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{3} + \frac{\pi}{24}$$
$$x_{2} = \frac{\pi n}{3} + \frac{\pi}{8}$$
$$\sin{\left(6 x + \pi \right)} = \frac{\left(-1\right) \sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Dividamos ambos miembros de la ecuación en -1
La ecuación se convierte en
$$\sin{\left(6 x \right)} = \frac{\sqrt{2}}{2}$$
Esta ecuación se reorganiza en
$$6 x = 2 \pi n + \operatorname{asin}{\left(\frac{\sqrt{2}}{2} \right)}$$
$$6 x = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{2}}{2} \right)} + \pi$$
O
$$6 x = 2 \pi n + \frac{\pi}{4}$$
$$6 x = 2 \pi n + \frac{3 \pi}{4}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$6$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{3} + \frac{\pi}{24}$$
$$x_{2} = \frac{\pi n}{3} + \frac{\pi}{8}$$
Suma y producto de raíces
[src]
suma
pi pi -- + -- 24 8
$$\frac{\pi}{24} + \frac{\pi}{8}$$
=
pi -- 6
$$\frac{\pi}{6}$$
producto
pi pi --*-- 24 8
$$\frac{\pi}{24} \frac{\pi}{8}$$
=
2 pi --- 192
$$\frac{\pi^{2}}{192}$$
pi^2/192
Respuesta rápida
[src]
pi
x1 = --
24
$$x_{1} = \frac{\pi}{24}$$
pi
x2 = --
8
$$x_{2} = \frac{\pi}{8}$$
x2 = pi/8
Respuesta numérica
[src]
x1 = -60.3447588877039
x2 = 0.130899693899575
x3 = 79.9797129726402
x4 = -41.7570023539643
x5 = -32.0704250053958
x6 = 31.5468262297975
x7 = 22.1220482690281
x8 = 50.3963821513363
x9 = -34.164820107789
x10 = -29.9760299030026
x11 = 86.0010988920206
x12 = -78.1471172580461
x13 = 62.177354602298
x14 = 68.1987405216784
x15 = -56.1559686829176
x16 = 18.1950574520409
x17 = -15.5770635740494
x18 = -7.98488132787406
x19 = 53.7997741927252
x20 = 46.2075919465499
x21 = 35.997415822383
x22 = 74.7437252166572
x23 = -21.860248881229
x24 = 82.0741080750334
x25 = -54.0615735805244
x26 = 28.4052335762077
x27 = -93.8550805259951
x28 = 99.8764664453755
x29 = 240.20093830572
x30 = -59.2975613365073
x31 = 12.6972703082587
x32 = -81.2887099116359
x33 = -61.6537558266997
x34 = -43.8513974563575
x35 = -37.3064127613788
x36 = 661.959752050149
x37 = 90.189889096807
x38 = -10.0792764302673
x39 = -27.8816348006094
x40 = -63.7481509290929
x41 = 66.1043454192852
x42 = -47.7783882733448
x43 = -87.8336946066146
x44 = -39.6626072515711
x45 = 16.1006623496477
x46 = 2.22529479629277
x47 = -51.9671784781312
x48 = 24.2164433714213
x49 = 9.55567765466895
x50 = -65.8425460314861
x51 = -3.79609112308767
x52 = -81.550509299435
x53 = 48.3019870489431
x54 = 57.9885643975116
x55 = 60.0829594999048
x56 = 70.2931356240716
x57 = -98.0438707307815
x58 = -71.8639319508665
x59 = -66.6279441948835
x60 = -12.1736715326604
x61 = 40.1862060271694
x62 = 94.3786793015934
x63 = -95.9494756283883
x64 = -248.054919939694
x65 = -76.0527221556529
x66 = 14.0062672472545
x67 = 55.8941692951184
x68 = -83.6449044018282
x69 = -100.138265833175
x70 = -85.7392995042214
x71 = -56.4177680707167
x72 = 42.2806011295626
x73 = -1.70169602069447
x74 = -17.6714586764426
x75 = 20.2894525544341
x76 = 64.2717497046912
x77 = -19.7658537788358
x78 = -73.9583270532597
x79 = -69.7695368484733
x80 = -91.7606854236019
x81 = 33.9030207199899
x82 = 6.41408500107916
x83 = 84.1685031774265
x84 = 11.9118721448613
x85 = -25.7872396982162
x86 = 92.2842841992002
x87 = -23.692844595823
x88 = 44.1131968441567
x89 = 4.31968989868597
x90 = 53.5379748049261
x91 = -5.89048622548086
x92 = 88.0954939944138
x93 = 72.3875307264648
x94 = -49.872783375738
x95 = 26.3108384738145
x96 = 77.885317870247
x97 = 38.0918109247762
x97 = 38.0918109247762