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- La ecuación:
-
Ecuación x^2-4x+5=0
-
Ecuación x^2+3x+2=0
-
Ecuación -25-x=-17
-
Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- 10*x-2*y=0
- 1*x+4*y=20
- 3*x-7*y=13
- 13*x-15*y=-6
- Derivada de:
-
sin2x
- Integral de d{x}:
- sin2x
- Gráfico de la función y =:
-
sin2x
-
Expresiones idénticas
- sin2x= uno
- seno de 2x es igual a 1
- seno de 2x es igual a uno
-
Expresiones semejantes
- sin(2*x)-sin(x)=0
- 2*sin(2*x)-cos(x)=sqrt(3)*sin(x)
- sin(2*x)=1
sin2x=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(2 x \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$2 x = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$2 x = 2 \pi n + \frac{\pi}{2}$$
$$2 x = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \pi n + \frac{\pi}{4}$$
$$x_{2} = \pi n + \frac{\pi}{4}$$
$$\sin{\left(2 x \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$2 x = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$2 x = 2 \pi n + \frac{\pi}{2}$$
$$2 x = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \pi n + \frac{\pi}{4}$$
$$x_{2} = \pi n + \frac{\pi}{4}$$
Suma y producto de raíces
[src]
suma
pi -- 4
$$\frac{\pi}{4}$$
=
pi -- 4
$$\frac{\pi}{4}$$
producto
pi -- 4
$$\frac{\pi}{4}$$
=
pi -- 4
$$\frac{\pi}{4}$$
pi/4
Respuesta numérica
[src]
x1 = -8.63937954158422
x2 = -55.7632695910029
x3 = -5.49778727991785
x4 = -93.4623815953041
x5 = -36.9137139098865
x6 = 25.9181394614117
x7 = -46.3384918201522
x8 = -30.6305281172761
x9 = -58.9048620578704
x10 = 47.9092880421864
x11 = -68.3296400287794
x12 = -36.9137134891678
x13 = -18.064157700815
x14 = 85.6084000178882
x15 = 44.7676950874451
x16 = 79.3252146099091
x17 = 10.2101761576945
x18 = -99.745566754733
x19 = 41.6261028620108
x20 = -90.320788607123
x21 = -65.1880480738962
x22 = 63.6172514399813
x23 = -77.754418173028
x24 = 69.9004366227711
x25 = 13.3517690013813
x26 = 76.1836219129628
x27 = 60.4756584571505
x28 = 101.316363152916
x29 = -87.1791967606238
x30 = -65.1880477975749
x31 = 57.3340661848436
x32 = -96.6039736043971
x33 = 95.0331775275438
x34 = 98.1747705006042
x35 = -24.3473430701779
x36 = 29.0597322134693
x37 = 29.0597318077204
x38 = -87.1791963743373
x39 = -14.9225649210104
x40 = -49.4800844377116
x41 = -74.6128250890583
x42 = 3.92699088042162
x43 = 95.0331779096874
x44 = 32.2013247418177
x45 = -2.35619439286547
x46 = 91.8915852031867
x47 = 82.4668070362749
x48 = 22.7765465102862
x49 = 73.0420289540461
x50 = 13.3517690340018
x51 = -153.15264217109
x52 = 7.06858323491875
x53 = 79.3252147600926
x54 = -84.0376034464448
x55 = -40.0553062823371
x56 = 35.3429176094788
x57 = -80.8960110535094
x58 = -62.0464548641931
x59 = -46.3384914504975
x60 = 38.4845098780771
x61 = 51.0508803807674
x62 = 0.785397933202895
x63 = 7.06858364655338
x64 = -71.471233016533
x65 = 88.7499922419838
x66 = -33.7721210085969
x67 = -11.7809724257318
x68 = -62.0464545510179
x69 = -74.6128252689663
x70 = -8.6393795270917
x71 = -30.6305280514717
x72 = 51.0508807796768
x73 = 25.9181398404781
x74 = -24.3473428722772
x75 = 54.192473326822
x76 = 57.334066070126
x77 = 35.3429175338589
x78 = -80.8960106270747
x79 = -96.6039738449592
x80 = -43.1968992207295
x81 = -52.621676693071
x82 = 73.0420293451081
x83 = -2.35619429411883
x84 = 19.6349542839773
x85 = -43.1968987801324
x86 = -58.9048624818554
x87 = 16.4933612990544
x88 = 66.7588436646782
x89 = -14.9225653376224
x90 = -27.4889358588398
x91 = -21.2057506438029
x92 = -52.6216765719183
x92 = -52.6216765719183
Gráfico