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sin6u=1 la ecuación

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Ha introducido [src]

sin(6*u) = 1

\sin{\left(6 u \right)} = 1

Simplificar

Solución detallada

Tenemos la ecuación

\sin{\left(6 u \right)} = 1

es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en

6 u = 2 \pi n + \operatorname{asin}{\left(1 \right)}

6 u = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi

6 u = 2 \pi n + \frac{\pi}{2}

6 u = 2 \pi n + \frac{\pi}{2}

, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en

6

obtenemos la respuesta:

u_{1} = \frac{\pi n}{3} + \frac{\pi}{12}

u_{2} = \frac{\pi n}{3} + \frac{\pi}{12}

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

     pi
u1 = --
     12

u_{1} = \frac{\pi}{12}

u1 = pi/12

Suma y producto de raíces [src]

suma

pi
--
12

\frac{\pi}{12}

pi
--
12

\frac{\pi}{12}

producto

pi
--
12

\frac{\pi}{12}

pi
--
12

\frac{\pi}{12}

pi/12

Respuesta numérica [src]

u1 = 22.2529479607571

u2 = 11.7809725139856

u3 = -10.2101760567131

u4 = 66.2352451246547

u5 = -85.6083998783531

u6 = 48.4328866713396

u7 = -32.2013246284748

u8 = -15.4461636998964

u9 = 99.7455667784648

u10 = -56.2868684488565

u11 = 18.0641575904069

u12 = -1.8325956303714

u13 = 4.45058952366422

u14 = 70.424035246248

u15 = 2.35619443223801

u16 = 77.7544182162793

u17 = -76.1836217744616

u18 = 15.9697626852522

u19 = 20.1585529574804

u20 = 84.0376034179138

u21 = -52.0980781057903

u22 = 55.7632696509651

u23 = -43.7204977825881

u24 = 13.8753676266739

u25 = 42.149701543678

u26 = -45.814892803953

u27 = 75.6600230667895

u28 = 24.3473430106795

u29 = -58.3812632463393

u30 = -78.2780169853537

u31 = -48.9564853809923

u32 = -12.3045714094311

u33 = -34.2957199248261

u34 = -63.6172513012213

u35 = -6.02138589730989

u36 = -21.7293492017758

u37 = -61.5228561900619

u38 = 92.41518382174

u39 = 50.5272818759395

u40 = 46.3384915894085

u41 = 79.8488133554185

u42 = 44.2440965425203

u43 = 130.114295757992

u44 = -83.5140047581305

u45 = -19.6349541459037

u46 = -41.62610272373

u47 = 6.5449848141863

u48 = -67.8060413893714

u49 = -74.0892266841028

u50 = 57.8576647795972

u51 = 68.3296401684154

u52 = -98.174770348449

u53 = 40.05530620807

u54 = -37.4373122668668

u55 = -100.269165531996

u56 = -30.1069295278938

u57 = 64.1408501103489

u58 = 88.2263937072014

u59 = -33.2485222538391

u60 = 62.0464548168765

u61 = 47.3856893488309

u62 = 59.9520598481687

u63 = -93.9859802388653

u64 = 90.3207887476935

u65 = -17.5405590488288

u66 = -3.92699098017885

u67 = -89.797189973996

u68 = -50.0036830653347

u69 = 0.261799379333194

u70 = 94.5095789779178

u71 = 26.4417380971056

u72 = 9.68657715106654

u73 = -8.11578095040642

u74 = -87.7027949433722

u75 = 13.8753675471005

u76 = 72.5184304232893

u77 = -71.9948316512416

u78 = -28.012534480777

u79 = 28.5361333386207

u80 = 35.8665162033444

u81 = 81.9432084286987

u82 = -65.7116463631172

u83 = 37.9609112670449

u84 = -96.0803752628436

u85 = 33.7721210833439

u86 = -23.8237442176309

u87 = -54.1924732011039

u88 = -39.531707620165

u88 = -39.531707620165