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- La ecuación:
-
Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
-
Ecuación x^2-14*x+33=0
-
Ecuación x^2+6=5x
- Expresar {x} en función de y en la ecuación:
- -13*x-19*y=17
- -9*x-12*y=-19
- -17*x-12*y=-9
- -8*x+3*y=-4
- Límite de la función:
-
sin(x)
-
-2/3
- Integral de d{x}:
- sin(x)
- -2/3
- Forma canónica:
- sin(x)
- Derivada de:
-
-2/3
-
Expresiones idénticas
- sin(x)=- dos / tres
- seno de (x) es igual a menos 2 dividir por 3
- seno de (x) es igual a menos dos dividir por tres
- sinx=-2/3
- sin(x)=-2 dividir por 3
-
Expresiones semejantes
- 2sinx=-1
- (x-2)/3=5
- sin(x)=+2/3
- sinx=-2/3
-
Expresiones con funciones
- Seno sin
- sin(pi*x/6)=-1
- sin(x)=-sqrt(3)/2
- sin(x)=4/5
- sin(z)=-2
- sin(x)+cos(x)=0
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)
$$x_{1} = \operatorname{asin}{\left(\frac{2}{3} \right)} + \pi$$
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)
$$- \operatorname{asin}{\left(\frac{2}{3} \right)} + \left(\operatorname{asin}{\left(\frac{2}{3} \right)} + \pi\right)$$
=
pi
$$\pi$$
producto
(pi + asin(2/3))*(-asin(2/3))
$$\left(\operatorname{asin}{\left(\frac{2}{3} \right)} + \pi\right) \left(- \operatorname{asin}{\left(\frac{2}{3} \right)}\right)$$
=
-(pi + asin(2/3))*asin(2/3)
$$- \left(\operatorname{asin}{\left(\frac{2}{3} \right)} + \pi\right) \operatorname{asin}{\left(\frac{2}{3} \right)}$$
-(pi + asin(2/3))*asin(2/3)
Respuesta numérica
[src]
x1 = 72.9863586887922
x2 = -58.9605327619791
x3 = -2.41186499736283
x4 = -90.376459297877
x5 = -32.1456541921249
x6 = 68.3853107227485
x7 = 55.8189401083893
x8 = -65.2437180691587
x9 = 5.55345765095262
x10 = 85.5527293031514
x11 = 91.835914610331
x12 = 47.8536174600739
x13 = 30.686198879671
x14 = 1216.52608459548
x15 = 18.1198282653118
x16 = 62.1021254155689
x17 = -27.5446062260812
x18 = 3.87132030981676
x19 = -57.2783954208432
x20 = -96.6596446050566
x21 = -13.2960982705861
x22 = 74.6684960299281
x23 = 11.8366429581322
x24 = 22.7208762313555
x25 = -84.0932739906975
x26 = -19.5792835777657
x27 = 54.1368027672534
x28 = -1755.42056570047
x29 = -1979.9330994178
x30 = 35.2872468457147
x31 = -8.69505030454241
x32 = -77.8100886835179
x33 = 99.8012372586464
x34 = 29.0040615385351
x35 = 10.1545056169963
x36 = 66.7031733816126
x37 = 16.4376909241759
x38 = 41.5704321528943
x39 = 87.2348666442873
x40 = -71.5269033763383
x41 = -46.3941621476199
x42 = 79.2695439959718
x43 = -0.729727656226966
x44 = -21.2614209189016
x45 = 24.4030135724914
x46 = -76.127951342382
x47 = -44.7120248064841
x48 = -50.9952101136637
x49 = -38.4288394993045
x50 = -82.4111366495616
x51 = -107.54387787828
x52 = -7.01291296340655
x53 = -40.1109768404403
x54 = 49.5357548012097
x55 = -69.8447660352024
x56 = -101.2606925711
x57 = -33.8277915332608
x58 = 412.27836527649
x59 = 60.419988074433
x60 = -94.9775072639208
x61 = 93.5180519514668
x62 = 98.1190999175106
x63 = -25.8624688849453
x64 = -63.5615807280228
x65 = -302.322622400847
x66 = 175.199460944801
x67 = -88.6943219567412
x68 = 36.9693841868506
x69 = -836.393373511112
x70 = -14.978235611722
x71 = 80.9516813371077
x72 = -52.6773474547995
x73 = 43.2525694940301
x73 = 43.2525694940301
Gráfico