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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
- Integral de d{x}:
- (1-sinx)
-
Expresiones idénticas
- (uno -sinx)
- (1 menos seno de x)
- (uno menos seno de x)
- 1-sinx
-
Expresiones semejantes
- (1+sinx)
- 1*(-sin(x)-i*cos(x))=0
- x/(1-sin(x))=5
- 7^(1+sin(x))-7^(1-sin(x))+7^2-6^sin(x)=0
- (cos*x-sqrt2\2)(1-sin*)x=0
- (2*cos(x)-sqrt(3))/(1-sin(x)^(2))*(1)-sin(x)=0
-
Expresiones con funciones
- sinx
- sinx=0,13
- sinx*cosx=-cbrt(2)/4
- sinx+12=1
- Sinx+√3Cosx=0
- sinx
(1-sinx) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$1 - \sin{\left(x \right)} = 0$$
es la ecuación trigonométrica más simple
Obtenemos:
$$- \sin{\left(x \right)} = -1$$
La ecuación se convierte en
$$\sin{\left(x \right)} = 1$$
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$x = 2 \pi n + \frac{\pi}{2}$$
$$x = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
$$1 - \sin{\left(x \right)} = 0$$
es la ecuación trigonométrica más simple
Transportemos 1 al miembro derecho de la ecuación
cambiando el signo de 1
Obtenemos:
$$- \sin{\left(x \right)} = -1$$
Dividamos ambos miembros de la ecuación en -1
La ecuación se convierte en
$$\sin{\left(x \right)} = 1$$
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$x = 2 \pi n + \frac{\pi}{2}$$
$$x = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Suma y producto de raíces
[src]
suma
pi -- 2
$$\frac{\pi}{2}$$
=
pi -- 2
$$\frac{\pi}{2}$$
producto
pi -- 2
$$\frac{\pi}{2}$$
=
pi -- 2
$$\frac{\pi}{2}$$
pi/2
Respuesta numérica
[src]
x1 = -67.5442420547782
x2 = 95.8185764110282
x3 = 45.5530929823099
x4 = 45.553093730794
x5 = 95.8185759975842
x6 = -23.5619449492902
x7 = 32.9867225164981
x8 = -29.8451297624452
x9 = -48.6946857788076
x10 = -36.1283153448593
x11 = 76.9690196732095
x12 = -80.1106124650157
x13 = 64.4026499096387
x14 = 58.1194643979608
x15 = 26.7035387715281
x16 = 89.5353901350773
x17 = -73.8274277616689
x18 = -86.3937977431483
x19 = -36.1283154173375
x20 = -42.4115013226904
x21 = 20.420352160156
x22 = 7.85398174307326
x23 = 64.4026492731727
x24 = 45.5530922954328
x25 = 70.6858344802043
x26 = -77664.8827844698
x27 = -86.3937984749131
x28 = -61.2610562447228
x29 = -4.71238862219396
x30 = 89.5353893728458
x31 = 14.1371671100222
x32 = -10.9955746401247
x33 = 58.119464520069
x34 = 102.101760799573
x35 = -92.6769829355125
x36 = 95.8185760629547
x37 = -61.2610569934486
x38 = -80.1106131679426
x39 = -4.71238942125338
x40 = 1.57079657289894
x41 = 32.9867233134552
x42 = -80.1106125781572
x43 = -73.8274269047688
x44 = -42.4115017818136
x45 = 3017.49974516717
x46 = -54.9778709962906
x47 = 14.1371665172699
x48 = 1.57079769954017
x49 = -42.4115005850814
x50 = -10.9955738413568
x51 = -98.9601689530982
x52 = -73.8274272798455
x53 = -86.3937988139119
x54 = 76.9690204681432
x55 = 7.85398177249874
x56 = 51.8362782775539
x57 = 20.4203521477756
x58 = -23.5619443878998
x59 = 89.535390888605
x60 = -92.6769837307794
x61 = 39.2699085343272
x62 = 7.85398112872719
x63 = -48.6946865760795
x64 = -98.9601681513438
x65 = 39.2699077336963
x66 = -29.8451306226524
x67 = 95.8185754266891
x68 = -17.2787590920677
x69 = -23.5619450115115
x70 = 70.6858358251975
x71 = -29.8451300954883
x72 = -67.5442421706656
x73 = 26.7035380604159
x74 = 64.4026493072124
x75 = 70.6858352127237
x76 = 14.1371673791846
x77 = -17.2787583315643
x78 = -17.2787598356363
x79 = 1.57079582971902
x80 = -61.2610555612794
x81 = -54.9778717966574
x82 = 1.57079525114023
x83 = 51.8362789031518
x84 = 20.4203527610188
x85 = 83.252204888767
x86 = 58.1194636580315
x87 = 26.703537322248
x88 = -36.1283160197768
x89 = 83.2522056907544
x90 = -67.5442415371049
x91 = 51.8362788867584
x91 = 51.8362788867584