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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:
-
sint
- Integral de d{x}:
- sint
-
Expresiones idénticas
- sint=- cero . dos
- seno de t es igual a menos 0.2
- seno de t es igual a menos cero . dos
-
Expresiones semejantes
- sin(t)=-1/2
- sint=+0.2
- x.diff(x)=(2*sin(t))*x+(log(t))*y
-
Expresiones con funciones
- sint
- sint=-1/2
- sint=-2,3
- sint=0,5
- sint-2sintcost-cost+1=0
sint=-0.2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(t \right)} = - \frac{1}{5}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$t = 2 \pi n + \operatorname{asin}{\left(- \frac{1}{5} \right)}$$
$$t = 2 \pi n - \operatorname{asin}{\left(- \frac{1}{5} \right)} + \pi$$
O
$$t = 2 \pi n - \operatorname{asin}{\left(\frac{1}{5} \right)}$$
$$t = 2 \pi n + \operatorname{asin}{\left(\frac{1}{5} \right)} + \pi$$
, donde n es cualquier número entero
$$\sin{\left(t \right)} = - \frac{1}{5}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$t = 2 \pi n + \operatorname{asin}{\left(- \frac{1}{5} \right)}$$
$$t = 2 \pi n - \operatorname{asin}{\left(- \frac{1}{5} \right)} + \pi$$
O
$$t = 2 \pi n - \operatorname{asin}{\left(\frac{1}{5} \right)}$$
$$t = 2 \pi n + \operatorname{asin}{\left(\frac{1}{5} \right)} + \pi$$
, donde n es cualquier número entero
Respuesta rápida
[src]
t1 = pi + asin(1/5)
$$t_{1} = \operatorname{asin}{\left(\frac{1}{5} \right)} + \pi$$
t2 = -asin(1/5)
$$t_{2} = - \operatorname{asin}{\left(\frac{1}{5} \right)}$$
t2 = -asin(1/5)
Suma y producto de raíces
[src]
suma
pi + asin(1/5) - asin(1/5)
$$- \operatorname{asin}{\left(\frac{1}{5} \right)} + \left(\operatorname{asin}{\left(\frac{1}{5} \right)} + \pi\right)$$
=
pi
$$\pi$$
producto
(pi + asin(1/5))*(-asin(1/5))
$$\left(\operatorname{asin}{\left(\frac{1}{5} \right)} + \pi\right) \left(- \operatorname{asin}{\left(\frac{1}{5} \right)}\right)$$
=
-(pi + asin(1/5))*asin(1/5)
$$- \left(\operatorname{asin}{\left(\frac{1}{5} \right)} + \pi\right) \operatorname{asin}{\left(\frac{1}{5} \right)}$$
-(pi + asin(1/5))*asin(1/5)
Respuesta numérica
[src]
t1 = 53.6084330318168
t2 = 56.3473098438259
t3 = 15.9093211887393
t4 = -31.6172844566883
t5 = -19.0509138423291
t6 = -69.3163962997658
t7 = 24.931383307928
t8 = 59.8916183389964
t9 = 225.993313137675
t10 = 4024.58154716932
t11 = -90.9048290333137
t12 = -44.1836550710474
t13 = 87.7632363797239
t14 = -21.7897906543382
t15 = -84.6216437261341
t16 = 129.006656717972
t17 = 28.4756918030985
t18 = -50.466840378227
t19 = 66.174803646176
t20 = -12.7677285351495
t21 = 43.7809392294668
t22 = 78.7411742605352
t23 = -37.9004697638678
t24 = -94.4491375284841
t25 = -59.4889024974157
t26 = -53.2057171902362
t27 = 172.988953868229
t28 = -63.0332109925862
t29 = 81.4800510725443
t30 = -65.7720878045953
t31 = -40.639346575877
t32 = -46.9225318830566
t33 = 18.6481980007484
t34 = 3.34295057438012
t35 = -2.94023473279946
t36 = -6.48454322796992
t37 = 12.3650126935688
t38 = -107.015508142843
t39 = 6.08182738638926
t40 = 100.329606994083
t41 = 47.3252477246372
t42 = -28.0729759615178
t43 = 31.2145686151076
t44 = -75.5995816069454
t45 = -72.0552731117749
t46 = -279.400388248701
t47 = -0.201357920790331
t48 = -81.882766914125
t49 = 3845.10805007312
t50 = 62.6304951510055
t51 = 34.7588771102781
t52 = 9.62613588155971
t53 = 9845.55001842962
t54 = 75.1968657653647
t55 = -9.22342003997905
t56 = -88.1659522213045
t57 = 37.4977539222872
t58 = 91.3075448748943
t59 = 22.1925064959189
t60 = 97.5907301820739
t61 = -100.732322835664
t62 = -34.3561612686974
t63 = -97.1880143404933
t64 = 94.0464216869035
t65 = 41.0420624174576
t66 = 50.0641245366464
t67 = 72.4579889533556
t68 = -25.3340991495087
t69 = -15.5066053471586
t70 = 85.0243595677148
t71 = 68.9136804581851
t72 = -78.3384584189545
t73 = -56.7500256854066
t73 = -56.7500256854066