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- La ecuación:
-
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
-
Ecuación x(x^2+2x+1)=6(x+1)
-
Ecuación 4x+1=-3x+15
- Ecuación (3x−36)⋅(x+8)=0
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -9*x+11*y=9
- -4*x-8*y=-20
- Derivada de:
-
sin(x/2)
-
-1
- Límite de la función:
-
sin(x/2)
-
-1
- Integral de d{x}:
- sin(x/2)
- Forma canónica:
- -1
-
Expresiones idénticas
- sin(x/ dos)=- uno
- seno de (x dividir por 2) es igual a menos 1
- seno de (x dividir por dos) es igual a menos uno
- sinx/2=-1
- sin(x dividir por 2)=-1
-
Expresiones semejantes
- sin(x/2)=+1
- (tan(x)/tan(x-(6389/1000)))-((((7/5)-1)*(5/2)*(5/2)*sin(x)*sin(x))/(2+((7/5)-1)*(5/2)*(5/2)*sin(x)*sin(x)))+x=0
- 2sin^2(x)-sqrt(3)sin(x)/2cos(x)+1=0
- x^6=-(12-8x)^3
-
Expresiones con funciones
- Seno sin
- sin(x)=pi
- sin(4*x)=0
- sin(x)^2=1
- sin(x)=(1/2)
- sin(x)+sin(2*x)+sin(3*x)=0
sin(x/2)=-1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(\frac{x}{2} \right)} = -1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$\frac{x}{2} = 2 \pi n + \operatorname{asin}{\left(-1 \right)}$$
$$\frac{x}{2} = 2 \pi n - \operatorname{asin}{\left(-1 \right)} + \pi$$
O
$$\frac{x}{2} = 2 \pi n - \frac{\pi}{2}$$
$$\frac{x}{2} = 2 \pi n + \frac{3 \pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\frac{1}{2}$$
obtenemos la respuesta:
$$x_{1} = 4 \pi n - \pi$$
$$x_{2} = 4 \pi n + 3 \pi$$
$$\sin{\left(\frac{x}{2} \right)} = -1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$\frac{x}{2} = 2 \pi n + \operatorname{asin}{\left(-1 \right)}$$
$$\frac{x}{2} = 2 \pi n - \operatorname{asin}{\left(-1 \right)} + \pi$$
O
$$\frac{x}{2} = 2 \pi n - \frac{\pi}{2}$$
$$\frac{x}{2} = 2 \pi n + \frac{3 \pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\frac{1}{2}$$
obtenemos la respuesta:
$$x_{1} = 4 \pi n - \pi$$
$$x_{2} = 4 \pi n + 3 \pi$$
Suma y producto de raíces
[src]
suma
-pi + 3*pi
$$- \pi + 3 \pi$$
=
2*pi
$$2 \pi$$
producto
-pi*3*pi
$$- \pi 3 \pi$$
=
2 -3*pi
$$- 3 \pi^{2}$$
-3*pi^2
Respuesta numérica
[src]
x1 = -28.2743336521146
x2 = 47.1238893765929
x3 = 97.3893717230424
x4 = -15.7079640213661
x5 = -15.7079641216365
x6 = -65.9734448735059
x7 = 59.6902594160982
x8 = -78.5398160355522
x9 = -3.14159244591793
x10 = 34.5575198674508
x11 = -65.9734467103803
x12 = -103.672558275184
x13 = -78.5398153571806
x14 = -28.2743329527591
x15 = 9.4247774082407
x16 = -53.407074099621
x17 = -53.4070755183111
x18 = -65.9734449211945
x19 = -3.1415920909332
x20 = -40.8407043325125
x21 = -3.14159296369468
x22 = -65.9734457649054
x23 = 84.8230026783574
x24 = -78.5398169064311
x25 = 59.6902591286344
x26 = -28.2743345506996
x27 = 21.9911494370191
x28 = -78.5398163457967
x29 = -53.4070752977589
x30 = 84.8230017459365
x31 = 72.2566302523232
x32 = 97.3893732551872
x33 = -53.4070744460719
x34 = -3.1415950208335
x35 = 59.6902608771019
x36 = 47.123891242423
x37 = -53.4070760410661
x38 = 34.5575187273286
x39 = 59.6902597628977
x40 = -28.2743337045464
x41 = 84.8230013528861
x42 = 21.9911476515378
x43 = -91.10618728017
x44 = -40.8407040589859
x45 = -91.1061859213063
x46 = -3.14159162121992
x47 = 97.3893735581761
x48 = 72.2566319571987
x49 = 59.6902606135717
x50 = 59.6902613557236
x51 = -103.672556618325
x52 = 47.1238897245433
x53 = -15.7079623299946
x54 = -65.9734464982309
x55 = -78.5398173635881
x56 = 47.123890256687
x57 = 21.9911485852083
x58 = 47.1238887891963
x59 = -15.7079624977706
x60 = 47.1238883520716
x61 = -3.14159363499305
x62 = -91.1061864056832
x63 = 97.3893725976594
x64 = 84.8230006713996
x65 = 21.9911493543639
x66 = 21.9911478139095
x67 = -91.1061893000426
x68 = 34.5575201953822
x69 = -40.8407034751919
x70 = -40.840705514174
x71 = -40.8407049390955
x72 = -91.1061879410652
x73 = 34.5575190198289
x74 = -28.2743348785101
x75 = 72.2566301889781
x76 = -91.1061866269766
x77 = 72.2566318142828
x78 = -65.9734466347336
x79 = 9.42477785524033
x80 = 47.1238908281958
x81 = -28.2743333728019
x82 = -15.7079632966168
x83 = 72.2566310277173
x84 = 84.8230022236836
x85 = 9.42477693583124
x86 = 34.5575182674959
x87 = 9.42477828111644
x88 = 97.3893712357817
x89 = -3.14159389871743
x90 = -40.840702830856
x91 = 34.5575202880375
x92 = -40.8407057343968
x93 = 9.42477894916069
x93 = 9.42477894916069
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