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- La ecuación:
-
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
-
Ecuación x^2+4=5x
-
Ecuación x(x^2+2x+1)=6(x+1)
-
Ecuación 4x+1=-3x+15
- 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(3x)
- Integral de d{x}:
- sin(3x)
- Forma canónica:
- sin(3x)
-
Expresiones idénticas
- sin(3x)= uno
- seno de (3x) es igual a 1
- seno de (3x) es igual a uno
- sin3x=1
-
Expresiones semejantes
- sin(x)+sin(3*x)=0
- sin(3*x)=1/2
- sin(x)+sin(2*x)+sin(3*x)=0
- sin3x=-1
-
Expresiones con funciones
- Seno sin
- sin(x)=pi
- sin(4*x)=0
- sin(x)^2=1
- sin(x)=(1/2)
- sin(x)=0,5
sin(3x)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(3 x \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$3 x = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$3 x = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$3 x = 2 \pi n + \frac{\pi}{2}$$
$$3 x = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{3} + \frac{\pi}{6}$$
$$x_{2} = \frac{2 \pi n}{3} + \frac{\pi}{6}$$
$$\sin{\left(3 x \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$3 x = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$3 x = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$3 x = 2 \pi n + \frac{\pi}{2}$$
$$3 x = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{3} + \frac{\pi}{6}$$
$$x_{2} = \frac{2 \pi n}{3} + \frac{\pi}{6}$$
Suma y producto de raíces
[src]
suma
pi -- 6
$$\frac{\pi}{6}$$
=
pi -- 6
$$\frac{\pi}{6}$$
producto
pi -- 6
$$\frac{\pi}{6}$$
=
pi -- 6
$$\frac{\pi}{6}$$
pi/6
Respuesta numérica
[src]
x1 = -39.2699083292704
x2 = -87.4409956689738
x3 = 67.5442422190054
x4 = 75.9218225274375
x5 = -95.8185758682622
x6 = -3.66519119284134
x7 = 8.90117917814493
x8 = 46.6002908748595
x9 = 80.1106131528868
x10 = 29.845130315527
x11 = -45.5530935835137
x12 = -26.7035377567181
x13 = 88.4881929539175
x14 = -43.458698513903
x15 = 71.733032403968
x16 = -66.4970443416682
x17 = 52.8834762893477
x18 = -3.66519148254904
x19 = -20.4203520794005
x20 = -28.7979326032841
x21 = 69.6386373203027
x22 = 38.2227106406479
x23 = -58.1194640021532
x24 = -81.1578103224548
x25 = 65.4498470876666
x26 = -70.6858348165339
x27 = -47.6474886422567
x28 = -85.3466005833809
x29 = 48.6946859683928
x30 = 2.61799372149593
x31 = -64.4026492298162
x32 = 94.7713782337162
x33 = -18.3259569854581
x34 = 86.3937978904858
x35 = -56.0250689629876
x36 = -24.6091423681141
x37 = -62.308254139164
x38 = -89.5353907407704
x39 = -37.1755131881972
x40 = 50.789081090574
x41 = -66.4970445282258
x42 = -14.1371668430111
x43 = -68.5914394976747
x44 = 84.2994028383437
x45 = 23.5619450702353
x46 = -79.0634150011636
x47 = 27.7507352485908
x48 = -100.007366130834
x49 = 61.2610563291673
x50 = 21.4675499464553
x51 = -16.2315619072654
x52 = 63.3554518703442
x53 = 54.977871797926
x54 = 25.6563401677065
x55 = -7.85398150192478
x56 = -91.6297858015358
x57 = -9.94837684428868
x58 = 78.0162175420896
x59 = 17.2787592807644
x60 = 19.3731547552869
x61 = 40.31710567763
x62 = -53.9306741017977
x63 = -35.081117920222
x64 = 31.9395253654771
x65 = 92.6769831186997
x66 = -49.7418836877459
x67 = 34.0339203588006
x68 = 82.2050078076434
x69 = 90.5825880287766
x70 = 96.865773409958
x71 = 98.9601688300381
x72 = -60.2138590635982
x73 = -41.3643034312689
x74 = -1.57079642588424
x75 = 44.5058957975625
x76 = -37.1755131460154
x77 = -85.3466004035061
x78 = -12.0427717978327
x79 = -93.7241808501502
x80 = -5.75958652427337
x81 = -83.252205476317
x82 = -51.8362786904677
x83 = -22.5147471967799
x84 = 6.8067839497432
x85 = 0.523598641616331
x86 = 4.71238881902407
x87 = 10.9955746928717
x88 = 73.8274274735132
x89 = 42.411500732115
x89 = 42.411500732115
Gráfico