Sr Examen
Otras calculadoras
-
¿Cómo usar?
- 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:
-
sin(2*x)
- Gráfico de la función y =:
-
sin(2*x)
- Integral de d{x}:
- sin(2*x)
-
Expresiones idénticas
- sin(dos *x)= uno
- seno de (2 multiplicar por x) es igual a 1
- seno de (dos multiplicar por x) es igual a uno
- sin(2x)=1
- sin2x=1
-
Expresiones semejantes
- sin2x=1
- sin(2x)=sqrt(2)/2
- sin2x=1/2
-
Expresiones con funciones
- Seno sin
- sin^24𝑥−sin4𝑥−2=0
- sin(x)=-1/5
- sin(3*x)=1
- sin=-1
- sin(4*x)=1
sin(2*x)=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 = -99.745566754733
x2 = 47.9092880421864
x3 = -2.35619439286547
x4 = -87.1791963743373
x5 = 95.0331775275438
x6 = -74.6128252689663
x7 = 54.192473326822
x8 = -24.3473428722772
x9 = 95.0331779096874
x10 = -2.35619429411883
x11 = 13.3517690013813
x12 = -90.320788607123
x13 = -43.1968992207295
x14 = 7.06858364655338
x15 = -68.3296400287794
x16 = -14.9225653376224
x17 = -43.1968987801324
x18 = 3.92699088042162
x19 = 51.0508803807674
x20 = -96.6039738449592
x21 = -93.4623815953041
x22 = -49.4800844377116
x23 = -8.6393795270917
x24 = -74.6128250890583
x25 = -62.0464545510179
x26 = -14.9225649210104
x27 = 69.9004366227711
x28 = -65.1880480738962
x29 = -153.15264217109
x30 = 76.1836219129628
x31 = 88.7499922419838
x32 = 16.4933612990544
x33 = 101.316363152916
x34 = -52.621676693071
x35 = 79.3252146099091
x36 = 7.06858323491875
x37 = -24.3473430701779
x38 = -21.2057506438029
x39 = -8.63937954158422
x40 = 32.2013247418177
x41 = -96.6039736043971
x42 = -55.7632695910029
x43 = -18.064157700815
x44 = -5.49778727991785
x45 = -87.1791967606238
x46 = 63.6172514399813
x47 = 22.7765465102862
x48 = -77.754418173028
x49 = -80.8960106270747
x50 = 35.3429175338589
x51 = 73.0420289540461
x52 = -46.3384918201522
x53 = 57.3340661848436
x54 = -33.7721210085969
x55 = -52.6216765719183
x56 = -40.0553062823371
x57 = 10.2101761576945
x58 = 35.3429176094788
x59 = -71.471233016533
x60 = -62.0464548641931
x61 = -36.9137134891678
x62 = 41.6261028620108
x63 = -27.4889358588398
x64 = -58.9048620578704
x65 = 66.7588436646782
x66 = 79.3252147600926
x67 = 25.9181398404781
x68 = 51.0508807796768
x69 = -30.6305281172761
x70 = 38.4845098780771
x71 = -65.1880477975749
x72 = 29.0597318077204
x73 = -36.9137139098865
x74 = -46.3384914504975
x75 = 82.4668070362749
x76 = 25.9181394614117
x77 = 73.0420293451081
x78 = 85.6084000178882
x79 = -84.0376034464448
x80 = 57.334066070126
x81 = -30.6305280514717
x82 = 60.4756584571505
x83 = 98.1747705006042
x84 = 91.8915852031867
x85 = -11.7809724257318
x86 = 29.0597322134693
x87 = 0.785397933202895
x88 = 13.3517690340018
x89 = 19.6349542839773
x90 = -58.9048624818554
x91 = -80.8960110535094
x92 = 44.7676950874451
x92 = 44.7676950874451
Gráfico