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- La ecuación:
-
Ecuación x^3-x^2-x-1=0
-
Ecuación 3x-2(3x+4)=10
-
Ecuación 12-4(x-3)=39-9x
-
Ecuación 0,2x+2,7=1,4-1,1x
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- 2*x-15*y=-1
- -18*x-6*y=-1
- 6*x+9*y=-9
- Integral de d{x}:
- sinx*sin5x
- cos4x
- Derivada de:
-
cos4x
- Gráfico de la función y =:
-
cos4x
-
Expresiones idénticas
- sinx*sin5x=cos4x
- seno de x multiplicar por seno de 5x es igual a coseno de 4x
- sinxsin5x=cos4x
-
Expresiones semejantes
- 2cos(4x-pi/4)cos(-x+pi/4)=0
- 2*cos(4x)+5*sin(4x)+2=0
- sin^4x+cos^4x+cos2x=0.5
- sinx*sin(5*x)=cos(4*x)
- 4*sin(2x)+4*cos(4x)=1
-
Expresiones con funciones
- sinx
- sinx=2:2
- sinx+lnx=0
- sinx⋅tgx−(–√3)sinx=0
- sinx=-✓2/2
- sinxcos4x+cosx=cos4xsin2x+cos2x
sinx*sin5x=cos4x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
sin(x)*sin(5*x) = cos(4*x)
$$\sin{\left(x \right)} \sin{\left(5 x \right)} = \cos{\left(4 x \right)}$$
Suma y producto de raíces
[src]
suma
9*pi 7*pi pi 3*pi pi pi 3*pi pi 7*pi 9*pi - ---- - ---- - -- - ---- - -- + -- + ---- + -- + ---- + ---- 10 10 2 10 10 10 10 2 10 10
$$\left(\left(\left(\left(\left(\left(\left(\left(- \frac{9 \pi}{10} - \frac{7 \pi}{10}\right) - \frac{\pi}{2}\right) - \frac{3 \pi}{10}\right) - \frac{\pi}{10}\right) + \frac{\pi}{10}\right) + \frac{3 \pi}{10}\right) + \frac{\pi}{2}\right) + \frac{7 \pi}{10}\right) + \frac{9 \pi}{10}$$
=
0
$$0$$
producto
-9*pi -7*pi -pi -3*pi -pi pi 3*pi pi 7*pi 9*pi -----*-----*----*-----*----*--*----*--*----*---- 10 10 2 10 10 10 10 2 10 10
$$\frac{9 \pi}{10} \frac{7 \pi}{10} \frac{\pi}{2} \frac{3 \pi}{10} \frac{\pi}{10} \cdot - \frac{\pi}{10} \cdot - \frac{3 \pi}{10} \cdot - \frac{\pi}{2} \cdot - \frac{9 \pi}{10} \left(- \frac{7 \pi}{10}\right)$$
=
10 -35721*pi ----------- 400000000
$$- \frac{35721 \pi^{10}}{400000000}$$
-35721*pi^10/400000000
Respuesta rápida
[src]
-9*pi
x1 = -----
10
$$x_{1} = - \frac{9 \pi}{10}$$
-7*pi
x2 = -----
10
$$x_{2} = - \frac{7 \pi}{10}$$
-pi
x3 = ----
2
$$x_{3} = - \frac{\pi}{2}$$
-3*pi
x4 = -----
10
$$x_{4} = - \frac{3 \pi}{10}$$
-pi
x5 = ----
10
$$x_{5} = - \frac{\pi}{10}$$
pi
x6 = --
10
$$x_{6} = \frac{\pi}{10}$$
3*pi
x7 = ----
10
$$x_{7} = \frac{3 \pi}{10}$$
pi
x8 = --
2
$$x_{8} = \frac{\pi}{2}$$
7*pi
x9 = ----
10
$$x_{9} = \frac{7 \pi}{10}$$
9*pi
x10 = ----
10
$$x_{10} = \frac{9 \pi}{10}$$
x10 = 9*pi/10
Respuesta numérica
[src]
x1 = -5.96902604182061
x2 = 46.18141200777
x3 = -31.7300858012569
x4 = 90.1637091580271
x5 = 61.8893752757189
x6 = 38.0132711084365
x7 = -7.85398154718208
x8 = -49.9513231920777
x9 = 32.3584043319749
x10 = 78.2256570743859
x11 = 24.1902634326414
x12 = -83.8805238508475
x13 = -93.9336203423348
x14 = -61.8893752757189
x15 = -63.7743308678728
x16 = -17.9070781254618
x17 = 17.9070781254618
x18 = 39.2699081498428
x19 = -85.7654794430014
x20 = -92.0486647501809
x21 = -71.9424717672063
x22 = -19.7920337176157
x23 = 58.7477826221291
x24 = -60.0044196835651
x25 = 34.2433599241287
x26 = 64.4026493525391
x27 = 56.2345084992573
x28 = 16.0221225333079
x29 = 68.1725605828985
x30 = -53.7212343763855
x31 = 27.9601746169492
x32 = 92.0486647501809
x33 = -80.1106126089377
x34 = 98.3318500573605
x35 = -21.6769893097696
x36 = 66.2876049907446
x37 = -58.1194640341413
x38 = -41.7831822927443
x39 = 60.0044196835651
x40 = 83.8805238508475
x41 = 39.8982267005904
x42 = 71.9424717672063
x43 = -75.712382951514
x44 = 20.4203522181614
x45 = 4.08407044966673
x46 = -16.0221225333079
x47 = -77.5973385436679
x48 = 42.4115007836476
x49 = -11.6238928182822
x50 = -38.0132711084365
x51 = 29.8451302545263
x52 = 10.3672557568463
x53 = -14.1371668872424
x54 = 0.314159265358979
x55 = -95.8185758695698
x56 = -87.6504350351552
x57 = -4.08407044966673
x58 = 93.9336203423348
x59 = 7.85398168446658
x60 = 12.2522113490002
x61 = -33.6150413934108
x62 = 81.9955682586936
x63 = -81.9955682586936
x64 = -43.6681378848981
x65 = 95.8185759450348
x66 = -9.73893722612836
x67 = -29.8451301142458
x68 = 5.96902604182061
x69 = 88.2787535658732
x70 = -89.5353904622891
x71 = -51.8362786978016
x72 = 86.3937979237947
x73 = 2.19911485751286
x74 = -67.5442419493278
x75 = -48.0663675999238
x76 = -23.5619448943193
x77 = 49.9513231920777
x78 = -45.5530934328517
x79 = -55.6061899685393
x80 = -26.0752190247953
x81 = 73.8274273864408
x82 = -70.0575161750524
x83 = -1.57079634217526
x84 = 70.0575161750524
x85 = 26.0752190247953
x86 = -97.7035315266426
x87 = 44.2964564156161
x88 = -73.827427283678
x89 = 100.216805649514
x90 = 76.340701482232
x91 = 48.0663675999238
x92 = -36.1283154601932
x93 = -39.8982267005904
x94 = 54.3495529071034
x95 = 22.3053078404875
x96 = -65.6592864600267
x97 = 51.8362788222469
x98 = -27.9601746169492
x98 = -27.9601746169492