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- La ecuación:
-
Ecuación (x-3)*(x+2)=0
-
Ecuación (11x+14)-(5x-8)=25
-
Ecuación z^2-6*z+10=0
-
Ecuación 4/(x-4)=-5
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- -11*x-14*y=-3
- Derivada de:
-
sint
-
-1/2
- Integral de d{x}:
- sint
- -1/2
- Suma de la serie:
-
-1/2
-
Expresiones idénticas
- sint=- 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 dividir por 2
-
Expresiones semejantes
- (x-(1/2))^2=0
- sin(t)=-(1/2)*sqrt(2)
- sin(t-1)*h
- sint=+1/2
- log(y-1)/2-log(y+1)/2=Const-x
-
Expresiones con funciones
- sint
- sint=-2,3
- sint=0,5
- sint-2sintcost-cost+1=0
sint=-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 = 68.5914396033772
t2 = -63.3554518473942
t3 = 43.4586983746588
t4 = -101.054563690472
t5 = -40.317105721069
t6 = -96.8657734856853
t7 = -31.9395253114962
t8 = 35.081117965086
t9 = 437.20497762458
t10 = -2.61799387799149
t11 = 41.3643032722656
t12 = 12.0427718387609
t13 = 81.1578102177363
t14 = 87.4409955249159
t15 = -65.4498469497874
t16 = -57.0722665402146
t17 = 37.1755130674792
t18 = -19.3731546971371
t19 = -69.6386371545737
t20 = 97.9129710368819
t21 = -34.0339204138894
t22 = 16.2315620435473
t23 = -21.4675497995303
t24 = -78.0162175641465
t25 = -75.9218224617533
t26 = 85.3466004225227
t27 = -90.5825881785057
t28 = 5.75958653158129
t29 = 72.7802298081635
t30 = 9.94837673636768
t31 = 60.2138591938044
t32 = 56.025068989018
t33 = 91.6297857297023
t34 = -94.7713783832921
t35 = 79.0634151153431
t36 = -88.4881930761125
t37 = 100.007366139275
t38 = 192.160750644576
t39 = -13.0899693899575
t40 = 49.7418836818384
t41 = -38.2227106186758
t42 = -82.2050077689329
t43 = 24.60914245312
t44 = 66.497044500984
t45 = 66400.1787274983
t46 = -59.1666616426078
t47 = -15.1843644923507
t48 = -27.7507351067098
t49 = -52.8834763354282
t50 = -71.733032256967
t51 = -44.5058959258554
t52 = -46.6002910282486
t53 = 22.5147473507269
t54 = -151.320046147908
t55 = 53.9306738866248
t56 = -195.302343298165
t57 = -0.523598775598299
t58 = 47.6474885794452
t59 = -84.2994028713261
t60 = 18.3259571459405
t61 = -25.6563400043166
t62 = -50.789081233035
t63 = 3.66519142918809
t64 = 30.8923277602996
t65 = -6.80678408277789
t66 = -8.90117918517108
t67 = 28.7979326579064
t68 = 93.7241808320955
t69 = 62.3082542961976
t70 = 74.8746249105567
t70 = 74.8746249105567