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- La ecuación:
-
Ecuación 5*x^2+2*x-7=0
-
Ecuación x+120=40*5
-
Ecuación y(0)=1
-
Ecuación x-2,4/6=x+0,6/11
- Expresar {x} en función de y en la ecuación:
- -18*x-8*y=-18
- -13*x+12*y=-19
- -1*x+11*y=-9
- 16*x-11*y=13
- Límite de la función:
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sin(7*x)
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-1
- Derivada de:
-
sin(7*x)
-
-1
- Forma canónica:
- sin(7*x)
- -1
-
Expresiones idénticas
- sin(siete *x)=- uno
- seno de (7 multiplicar por x) es igual a menos 1
- seno de (siete multiplicar por x) es igual a menos uno
- sin(7x)=-1
- sin7x=-1
-
Expresiones semejantes
- -(1/5)*x^2+45=0
- sin(x)*sin(7x)=1
- sin(7x)-cos(4x)+2=0
- 8cos(x)+7sin(7x)-16x=(x^3)+8
- sin(7*x)=+1
- 8cosx+7sin7x-16x=x^3+8
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Expresiones con funciones
- Seno sin
- sin(x)*sin(7x)=1
- sin(x)=x/8
- sin(x-pi/6)+1=0
- sinn/2+cosn+tg0
- sin(x)=5/13
sin(7*x)=-1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(7 x \right)} = -1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$7 x = 2 \pi n + \operatorname{asin}{\left(-1 \right)}$$
$$7 x = 2 \pi n - \operatorname{asin}{\left(-1 \right)} + \pi$$
O
$$7 x = 2 \pi n - \frac{\pi}{2}$$
$$7 x = 2 \pi n + \frac{3 \pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$7$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{7} - \frac{\pi}{14}$$
$$x_{2} = \frac{2 \pi n}{7} + \frac{3 \pi}{14}$$
$$\sin{\left(7 x \right)} = -1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$7 x = 2 \pi n + \operatorname{asin}{\left(-1 \right)}$$
$$7 x = 2 \pi n - \operatorname{asin}{\left(-1 \right)} + \pi$$
O
$$7 x = 2 \pi n - \frac{\pi}{2}$$
$$7 x = 2 \pi n + \frac{3 \pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$7$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{7} - \frac{\pi}{14}$$
$$x_{2} = \frac{2 \pi n}{7} + \frac{3 \pi}{14}$$
Suma y producto de raíces
[src]
suma
pi 3*pi - -- + ---- 14 14
$$- \frac{\pi}{14} + \frac{3 \pi}{14}$$
=
pi -- 7
$$\frac{\pi}{7}$$
producto
-pi 3*pi ----*---- 14 14
$$- \frac{\pi}{14} \frac{3 \pi}{14}$$
=
2 -3*pi ------ 196
$$- \frac{3 \pi^{2}}{196}$$
-3*pi^2/196
Respuesta rápida
[src]
-pi
x1 = ----
14
$$x_{1} = - \frac{\pi}{14}$$
3*pi
x2 = ----
14
$$x_{2} = \frac{3 \pi}{14}$$
x2 = 3*pi/14
Respuesta numérica
[src]
x1 = -63.0562527372411
x2 = -44.2066966123235
x3 = 13.2395690634871
x4 = 7.85398169495316
x5 = 38.3723102119433
x6 = 2.46839424485093
x7 = -49.592284087747
x8 = -10.0979763266333
x9 = 52.7338764603268
x10 = 15.9323627936885
x11 = 28.4987335331749
x12 = -88.1889937368012
x13 = 95.8185759802228
x14 = -98.0625706387998
x15 = 84.1498033202441
x16 = -54.0802734815868
x17 = -89.9841895997492
x18 = 43.7578975329286
x19 = -57.6706651859628
x20 = 69.7882368066005
x21 = -80.1106126046346
x22 = 86.8425968691975
x23 = -34.33311961254
x24 = -65.7490462508355
x25 = -67.5442420672257
x26 = 67.9930410105944
x27 = 82.3546073657633
x28 = 59.9146599502416
x29 = -47.7970881885378
x30 = 92.2281843477919
x31 = -41.5139028204363
x32 = -73.8274272833876
x33 = 33.8843208261029
x34 = 72.4810305791346
x35 = -13.6883680280288
x36 = 94.023380097403
x37 = -46.001892425326
x38 = 22.215548079095
x39 = -93.574581231161
x40 = 76.0714219867554
x41 = -5.60998693951112
x42 = -31.6403260657234
x43 = -81.0082105020289
x44 = 11.4443733932631
x45 = -70.2370358625256
x46 = 46.4506913541324
x47 = 12.3419710894768
x48 = -72.0322315269287
x49 = -23.5619449416433
x50 = 6.05878569168424
x51 = -49.5922838608809
x52 = -21.7667490867332
x53 = -36.1283154535468
x54 = -38.8211093539582
x55 = 30.293929131297
x56 = 48.2458871832247
x57 = 66.1978452470166
x58 = -28.0499343652511
x59 = -83.7010043016944
x60 = 20.4203521965023
x61 = 41.9627019069089
x62 = 90.4329884842009
x63 = 85.9449990677518
x64 = 61.709855798655
x65 = -99.8577664110223
x66 = -19.9715533428935
x67 = -29.8451301122563
x68 = 31.1915270258916
x69 = -75.6226232189275
x70 = 4.26359002020643
x71 = 25.8059396877581
x72 = -26.254738653815
x73 = 51.8362788401232
x74 = -39.7187071414127
x75 = -0.224399514512687
x76 = -63.9538505397178
x77 = 77.8666179764942
x78 = -2.01959525710412
x79 = 64.4026493415306
x80 = 100.306565404686
x81 = 74.2762262919595
x82 = -3.81479101884417
x83 = -62.1586545882655
x84 = 24.0107438382386
x85 = -91.7793853558147
x86 = 50.0410829061044
x87 = 56.3242682463445
x88 = -18.1763574464374
x89 = -29.8451300798499
x90 = 40.1675061533025
x91 = -85.4962001961162
x91 = -85.4962001961162