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- La ecuación:
-
Ecuación 1/(x-3)^2-3/(x-3)-4=0
-
Ecuación 9*(x-5)=-x
-
Ecuación 13x+10=6x-4
- Ecuación x-y=1
- Expresar {x} en función de y en la ecuación:
- 7*x-6*y=-2
- 13*x-15*y=-6
- 4*x-7*y=4
- -4*x+6*y=-7
- Derivada de:
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sint
-
0.5
- Integral de d{x}:
- sint
- 0.5
- Suma de la serie:
-
0.5
-
Expresiones idénticas
- sint= cero . cinco
- seno de t es igual a 0.5
- seno de t es igual a cero . cinco
- sint=O.5
-
Expresiones semejantes
- sqrt(((6*(sin(2*t)-sin(t))))+((-6*(cos(2*t)-cos(t)))))=0
- (-6*cos(t)+2*t)*3*sin(t)+(-6*cos(t)+2*t)*3*sin(t)=0
- sin(t)=-1/2
- x.diff(x)=(2*sin(t))*x+(log(t))*y
-
Expresiones con funciones
- sint
- sint=-0.2
- sint=-1/2
- sint=-2,3
- sint-2sintcost-cost+1=0
- sint=0,5
sint=0.5 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(t \right)} = \frac{1}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$t = 2 \pi n + \operatorname{asin}{\left(\frac{1}{2} \right)}$$
$$t = 2 \pi n - \operatorname{asin}{\left(\frac{1}{2} \right)} + \pi$$
O
$$t = 2 \pi n + \frac{\pi}{6}$$
$$t = 2 \pi n + \frac{5 \pi}{6}$$
, donde n es cualquier número entero
$$\sin{\left(t \right)} = \frac{1}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$t = 2 \pi n + \operatorname{asin}{\left(\frac{1}{2} \right)}$$
$$t = 2 \pi n - \operatorname{asin}{\left(\frac{1}{2} \right)} + \pi$$
O
$$t = 2 \pi n + \frac{\pi}{6}$$
$$t = 2 \pi n + \frac{5 \pi}{6}$$
, donde n es cualquier número entero
Suma y producto de raíces
[src]
suma
pi 5*pi -- + ---- 6 6
$$\frac{\pi}{6} + \frac{5 \pi}{6}$$
=
pi
$$\pi$$
producto
pi 5*pi --*---- 6 6
$$\frac{\pi}{6} \frac{5 \pi}{6}$$
=
2 5*pi ----- 36
$$\frac{5 \pi^{2}}{36}$$
5*pi^2/36
Respuesta rápida
[src]
pi
t1 = --
6
$$t_{1} = \frac{\pi}{6}$$
5*pi
t2 = ----
6
$$t_{2} = \frac{5 \pi}{6}$$
t2 = 5*pi/6
Respuesta numérica
[src]
t1 = 8.90117918517108
t2 = 90.5825881785057
t3 = -18.3259571459405
t4 = -12.0427718387609
t5 = 71.733032256967
t6 = -60.2138591938044
t7 = -2650.98060085419
t8 = 44.5058959258554
t9 = -49.7418836818384
t10 = -74.8746249105567
t11 = -81.1578102177363
t12 = -4454.25478401473
t13 = -24.60914245312
t14 = 19.3731546971371
t15 = -72.7802298081635
t16 = -91.6297857297023
t17 = -100.007366139275
t18 = 31.9395253114962
t19 = -9.94837673636768
t20 = 63.3554518473942
t21 = 27.7507351067098
t22 = -97.9129710368819
t23 = 57.0722665402146
t24 = 78.0162175641465
t25 = -16.2315620435473
t26 = 84.2994028713261
t27 = -68.5914396033772
t28 = -30.8923277602996
t29 = -22.5147473507269
t30 = 15.1843644923507
t31 = -93.7241808320955
t32 = 69.6386371545737
t33 = 38.2227106186758
t34 = 46.6002910282486
t35 = -35.081117965086
t36 = 138.753675533549
t37 = 40.317105721069
t38 = -37.1755130674792
t39 = 101.054563690472
t40 = 34.0339204138894
t41 = -3.66519142918809
t42 = 0.523598775598299
t43 = -47.6474885794452
t44 = 59.1666616426078
t45 = -43.4586983746588
t46 = 2.61799387799149
t47 = 13.0899693899575
t48 = -5.75958653158129
t49 = -41.3643032722656
t50 = 6.80678408277789
t51 = 17438.4572213013
t52 = 65.4498469497874
t53 = 52.8834763354282
t54 = -56.025068989018
t55 = -62.3082542961976
t56 = 134.564885328763
t57 = 82.2050077689329
t58 = 94.7713783832921
t59 = -66.497044500984
t60 = -87.4409955249159
t61 = -627.79493194236
t62 = -28.7979326579064
t63 = 88.4881930761125
t64 = 96.8657734856853
t65 = -79.0634151153431
t66 = -85.3466004225227
t67 = 21.4675497995303
t68 = 50.789081233035
t69 = 25.6563400043166
t70 = 75.9218224617533
t71 = -53.9306738866248
t71 = -53.9306738866248