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- La ecuación:
-
Ecuación x^4+2*x^2-8=0
-
Ecuación x*(x^2+8*x+16)=5*(x+4)
-
Ecuación -25-x=-17
-
Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
- Derivada de:
-
sin(t)
-
-1/2
- Integral de d{x}:
- sin(t)
- -1/2
- Suma de la serie:
-
-1/2
-
Expresiones idénticas
- sin(t)=- uno / dos
- seno de (t) es igual a menos 1 dividir por 2
- seno de (t) es igual a menos uno dividir por dos
- sint=-1/2
- sin(t)=-1 dividir por 2
-
Expresiones semejantes
- 1/x^(2/3)-1/(2*x^(1/2))
- sint=-1/2
- sint=-0.2
- sin(t)=+1/2
-
Expresiones con funciones
- Seno sin
- sin(x)=1,5
- sin(x-1)=0
- sin2x=1
- sin(3*x)=-1/2
- sin(3*x)=-1
sin(t)=-1/2 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
$$t = 2 \pi n - \frac{\pi}{6}$$
$$t = 2 \pi n + \frac{7 \pi}{6}$$
, 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
$$t = 2 \pi n - \frac{\pi}{6}$$
$$t = 2 \pi n + \frac{7 \pi}{6}$$
, donde n es cualquier número entero
Respuesta rápida
[src]
-pi
t1 = ----
6
$$t_{1} = - \frac{\pi}{6}$$
7*pi
t2 = ----
6
$$t_{2} = \frac{7 \pi}{6}$$
t2 = 7*pi/6
Suma y producto de raíces
[src]
suma
pi 7*pi - -- + ---- 6 6
$$- \frac{\pi}{6} + \frac{7 \pi}{6}$$
=
pi
$$\pi$$
producto
-pi 7*pi ----*---- 6 6
$$- \frac{\pi}{6} \frac{7 \pi}{6}$$
=
2 -7*pi ------ 36
$$- \frac{7 \pi^{2}}{36}$$
-7*pi^2/36
Respuesta numérica
[src]
t1 = -8.90117918517108
t2 = 66400.1787274983
t3 = -15.1843644923507
t4 = 18.3259571459405
t5 = 66.497044500984
t6 = 93.7241808320955
t7 = -57.0722665402146
t8 = 192.160750644576
t9 = -25.6563400043166
t10 = 56.025068989018
t11 = 47.6474885794452
t12 = -101.054563690472
t13 = -78.0162175641465
t14 = -52.8834763354282
t15 = 5.75958653158129
t16 = -82.2050077689329
t17 = 28.7979326579064
t18 = 81.1578102177363
t19 = 97.9129710368819
t20 = -0.523598775598299
t21 = 68.5914396033772
t22 = -90.5825881785057
t23 = 43.4586983746588
t24 = 100.007366139275
t25 = -46.6002910282486
t26 = 30.8923277602996
t27 = 37.1755130674792
t28 = -195.302343298165
t29 = -63.3554518473942
t30 = -27.7507351067098
t31 = -34.0339204138894
t32 = -44.5058959258554
t33 = -151.320046147908
t34 = 79.0634151153431
t35 = 91.6297857297023
t36 = -65.4498469497874
t37 = 72.7802298081635
t38 = 60.2138591938044
t39 = -71.733032256967
t40 = -31.9395253114962
t41 = 53.9306738866248
t42 = 3.66519142918809
t43 = 22.5147473507269
t44 = -84.2994028713261
t45 = 437.20497762458
t46 = -88.4881930761125
t47 = -40.317105721069
t48 = -69.6386371545737
t49 = -50.789081233035
t50 = -6.80678408277789
t51 = -19.3731546971371
t52 = 87.4409955249159
t53 = 16.2315620435473
t54 = -38.2227106186758
t55 = 62.3082542961976
t56 = -94.7713783832921
t57 = 49.7418836818384
t58 = -96.8657734856853
t59 = 74.8746249105567
t60 = 85.3466004225227
t61 = 12.0427718387609
t62 = -21.4675497995303
t63 = -59.1666616426078
t64 = -13.0899693899575
t65 = 41.3643032722656
t66 = 24.60914245312
t67 = 35.081117965086
t68 = -75.9218224617533
t69 = 9.94837673636768
t70 = -2.61799387799149
t70 = -2.61799387799149
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