Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación (7-x)^2=(x+16)^2
-
Ecuación x/9+x=-10/3
-
Ecuación (x-2)^2+(x-3)^2=2x^2
-
Ecuación sin(x)=3/4
- Expresar {x} en función de y en la ecuación:
- 4*x+18*y=-7
- -6*x-2*y=-10
- 7*x-2*y=20
- 7*x+20*y=-17
- Límite de la función:
-
sin(x)
- Integral de d{x}:
- sin(x)
- 2/3
- Forma canónica:
- sin(x)
- 2/3
- Derivada de:
-
2/3
-
Expresiones idénticas
- sin(x)= dos / tres
- seno de (x) es igual a 2 dividir por 3
- seno de (x) es igual a dos dividir por tres
- sinx=2/3
- sin(x)=2 dividir por 3
-
Expresiones semejantes
- sinx(2sinx-1)=0
- (5*x^2-2)/(3*x^2-1)=0
- sinx/2=1
- sinx=2/3
-
Expresiones con funciones
- Seno sin
- sin(x)=3/4
- sin(x)=1/4
- sinx(2sinx-1)=0
- sin(pi*x)=1/2
- sinx/2=1
sin(x)=2/3 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{2}{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{2}{3} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{2}{3} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{2}{3} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{2}{3} \right)} + \pi$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} = \frac{2}{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{2}{3} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{2}{3} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{2}{3} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{2}{3} \right)} + \pi$$
, donde n es cualquier número entero
Respuesta rápida
[src]
x1 = pi - asin(2/3)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{2}{3} \right)}$$
x2 = asin(2/3)
$$x_{2} = \operatorname{asin}{\left(\frac{2}{3} \right)}$$
x2 = asin(2/3)
Suma y producto de raíces
[src]
suma
pi - asin(2/3) + asin(2/3)
$$\operatorname{asin}{\left(\frac{2}{3} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{2}{3} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(2/3))*asin(2/3)
$$\left(\pi - \operatorname{asin}{\left(\frac{2}{3} \right)}\right) \operatorname{asin}{\left(\frac{2}{3} \right)}$$
=
(pi - asin(2/3))*asin(2/3)
$$\left(\pi - \operatorname{asin}{\left(\frac{2}{3} \right)}\right) \operatorname{asin}{\left(\frac{2}{3} \right)}$$
(pi - asin(2/3))*asin(2/3)
Respuesta numérica
[src]
x1 = 1485.24359749175
x2 = 82.4111366495616
x3 = -85.5527293031514
x4 = -74.6684960299281
x5 = -5.55345765095262
x6 = 94.9775072639208
x7 = 13.2960982705861
x8 = -24.4030135724914
x9 = 2.41186499736283
x10 = -1241.6588258242
x11 = -123.251841146229
x12 = -99.8012372586464
x13 = 76.127951342382
x14 = 33.8277915332608
x15 = -49.5357548012097
x16 = -80.9516813371077
x17 = -3.87132030981676
x18 = 71.5269033763383
x19 = -161594.831050354
x20 = -16.4376909241759
x21 = 352.588104858284
x22 = -43.2525694940301
x23 = 21.2614209189016
x24 = -104.40228522469
x25 = -809.80117696994
x26 = -87.2348666442873
x27 = 96.6596446050566
x28 = 44.7120248064841
x29 = -54.1368027672534
x30 = -98.1190999175106
x31 = 38.4288394993045
x32 = 90.376459297877
x33 = -41.5704321528943
x34 = -2033.34017452882
x35 = 84.0932739906975
x36 = 40.1109768404403
x37 = 46.3941621476199
x38 = 63.5615807280228
x39 = 0.729727656226966
x40 = -18.1198282653118
x41 = 7.01291296340655
x42 = 27.5446062260812
x43 = -91.835914610331
x44 = 77.8100886835179
x45 = 8.69505030454241
x46 = 65.2437180691587
x47 = 25.8624688849453
x48 = 32.1456541921249
x49 = -30.686198879671
x50 = 4876.48152602759
x51 = 8206.56973883277
x52 = -60.419988074433
x53 = 69.8447660352024
x54 = 14.978235611722
x55 = -72.9863586887922
x56 = 101.2606925711
x57 = -55.8189401083893
x58 = -189567.572037918
x59 = -47.8536174600739
x60 = -62.1021254155689
x61 = -35.2872468457147
x62 = 222.323350748648
x63 = 915594.458012514
x64 = -36.9693841868506
x65 = 57.2783954208432
x66 = -68.3853107227485
x67 = -11.8366429581322
x68 = -79.2695439959718
x69 = -22.7208762313555
x70 = -29.0040615385351
x71 = 52.6773474547995
x72 = -10.1545056169963
x73 = -66.7031733816126
x74 = 50.9952101136637
x75 = 88.6943219567412
x76 = 19.5792835777657
x77 = 58.9605327619791
x78 = -93.5180519514668
x78 = -93.5180519514668
Gráfico