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Otras calculadoras
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- La ecuación:
-
Ecuación (x+9)^2=36*x
-
Ecuación a+120=2000/5
-
Ecuación 5^x=6-x
-
Ecuación 2^x=1
- Expresar {x} en función de y en la ecuación:
- -6*x-12*y=9
- 9*x-1*y=17
- 10*x-2*y=11
- 12*x-3*y=-2
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Expresiones idénticas
- cos(dos *x)*(dos *cos(siete *x))+cos(cinco *x+pi)=-sqrt(dos)/ dos
- coseno de (2 multiplicar por x) multiplicar por (2 multiplicar por coseno de (7 multiplicar por x)) más coseno de (5 multiplicar por x más número pi ) es igual a menos raíz cuadrada de (2) dividir por 2
- coseno de (dos multiplicar por x) multiplicar por (dos multiplicar por coseno de (siete multiplicar por x)) más coseno de (cinco multiplicar por x más número pi ) es igual a menos raíz cuadrada de (dos) dividir por dos
- cos(2*x)*(2*cos(7*x))+cos(5*x+pi)=-√(2)/2
- cos(2x)(2cos(7x))+cos(5x+pi)=-sqrt(2)/2
- cos2x2cos7x+cos5x+pi=-sqrt2/2
- cos(2*x)*(2*cos(7*x))+cos(5*x+pi)=-sqrt(2) dividir por 2
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Expresiones semejantes
- 2x-9=-((sqrt2)/2)
- cos(2*x)*(2*cos(7*x))+cos(5*x+pi)=+sqrt(2)/2
- cos(2*x)*(2*cos(7*x))+cos(5*x-pi)=-sqrt(2)/2
- cos(2*x)*(2*cos(7*x))-cos(5*x+pi)=-sqrt(2)/2
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Expresiones con funciones
- Coseno cos
- cos(x)+sin(3x)=0
- cos(x)=2*x
- cos(x)-e^(-x)+x-1=0
- cos(2x)-3*cos(x)+2=0
- cos^2x+cos^22*x-cos^23*x-cos^24*x=0
- Coseno cos
- cos(x)+sin(3x)=0
- cos(x)=2*x
- cos(x)-e^(-x)+x-1=0
- cos(2x)-3*cos(x)+2=0
- cos^2x+cos^22*x-cos^23*x-cos^24*x=0
- Coseno cos
- cos(x)+sin(3x)=0
- cos(x)=2*x
- cos(x)-e^(-x)+x-1=0
- cos(2x)-3*cos(x)+2=0
- cos^2x+cos^22*x-cos^23*x-cos^24*x=0
- Raíz cuadrada sqrt
- sqrt(1-x)=sqrt[3](x-2)
- sqrt(x)^1=0
- sqrt(x-2)+sqrt(x+6)=2
- sqrt(x-2)+sqrt(4-x)=x^2-6*x+11
- sqrt(5x+1)=sqrt(x+5)
cos(2*x)*(2*cos(7*x))+cos(5*x+pi)=-sqrt(2)/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___
-\/ 2
cos(2*x)*2*cos(7*x) + cos(5*x + pi) = -------
2
$$\cos{\left(2 x \right)} 2 \cos{\left(7 x \right)} + \cos{\left(5 x + \pi \right)} = \frac{\left(-1\right) \sqrt{2}}{2}$$
Respuesta rápida
[src]
-3*pi
x1 = -----
4
$$x_{1} = - \frac{3 \pi}{4}$$
-7*pi
x2 = -----
12
$$x_{2} = - \frac{7 \pi}{12}$$
-11*pi
x3 = ------
36
$$x_{3} = - \frac{11 \pi}{36}$$
-5*pi
x4 = -----
36
$$x_{4} = - \frac{5 \pi}{36}$$
-pi
x5 = ----
12
$$x_{5} = - \frac{\pi}{12}$$
pi
x6 = --
12
$$x_{6} = \frac{\pi}{12}$$
5*pi
x7 = ----
36
$$x_{7} = \frac{5 \pi}{36}$$
11*pi
x8 = -----
36
$$x_{8} = \frac{11 \pi}{36}$$
7*pi
x9 = ----
12
$$x_{9} = \frac{7 \pi}{12}$$
3*pi
x10 = ----
4
$$x_{10} = \frac{3 \pi}{4}$$
35*pi
x11 = -----
36
$$x_{11} = \frac{35 \pi}{36}$$
/ 36____\ x12 = -I*log\-\/ -1 /
$$x_{12} = - i \log{\left(- \sqrt[36]{-1} \right)}$$
/ 7/36\ x13 = -I*log\-(-1) /
$$x_{13} = - i \log{\left(- \left(-1\right)^{\frac{7}{36}} \right)}$$
/ /pi\\
/ _____________________\ |cos|--||
| / 2/pi\ 2/pi\ | | \36/|
x14 = -pi - I*log| / cos |--| + sin |--| | + atan|-------|
\\/ \36/ \36/ / | /pi\|
|sin|--||
\ \36//
$$x_{14} = - \pi - i \log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{36} \right)} + \cos^{2}{\left(\frac{\pi}{36} \right)}} \right)} + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{36} \right)}}{\sin{\left(\frac{\pi}{36} \right)}} \right)}$$
/ /pi\\
|cos|--|| / _____________________\
| \36/| | / 2/pi\ 2/pi\ |
x15 = pi - atan|-------| - I*log| / cos |--| + sin |--| |
| /pi\| \\/ \36/ \36/ /
|sin|--||
\ \36//
$$x_{15} = - \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{36} \right)}}{\sin{\left(\frac{\pi}{36} \right)}} \right)} - i \log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{36} \right)} + \cos^{2}{\left(\frac{\pi}{36} \right)}} \right)} + \pi$$
/ /13*pi\\
|sin|-----|| / __________________________\
| \ 36 /| | / 2/5*pi\ 2/13*pi\ |
x16 = - atan|----------| - I*log| / sin |----| + sin |-----| |
| /5*pi\ | \\/ \ 36 / \ 36 / /
|sin|----| |
\ \ 36 / /
$$x_{16} = - \operatorname{atan}{\left(\frac{\sin{\left(\frac{13 \pi}{36} \right)}}{\sin{\left(\frac{5 \pi}{36} \right)}} \right)} - i \log{\left(\sqrt{\sin^{2}{\left(\frac{5 \pi}{36} \right)} + \sin^{2}{\left(\frac{13 \pi}{36} \right)}} \right)}$$
/ /13*pi\\
/ __________________________\ |sin|-----||
| / 2/5*pi\ 2/13*pi\ | | \ 36 /|
x17 = - I*log| / sin |----| + sin |-----| | + atan|----------|
\\/ \ 36 / \ 36 / / | /5*pi\ |
|sin|----| |
\ \ 36 / /
$$x_{17} = - i \log{\left(\sqrt{\sin^{2}{\left(\frac{5 \pi}{36} \right)} + \sin^{2}{\left(\frac{13 \pi}{36} \right)}} \right)} + \operatorname{atan}{\left(\frac{\sin{\left(\frac{13 \pi}{36} \right)}}{\sin{\left(\frac{5 \pi}{36} \right)}} \right)}$$
/ /7*pi\ \
|sin|----| | / __________________________\
| \ 36 / | | / 2/7*pi\ 2/11*pi\ |
x18 = pi - atan|----------| - I*log| / sin |----| + sin |-----| |
| /11*pi\| \\/ \ 36 / \ 36 / /
|sin|-----||
\ \ 36 //
$$x_{18} = - \operatorname{atan}{\left(\frac{\sin{\left(\frac{7 \pi}{36} \right)}}{\sin{\left(\frac{11 \pi}{36} \right)}} \right)} - i \log{\left(\sqrt{\sin^{2}{\left(\frac{7 \pi}{36} \right)} + \sin^{2}{\left(\frac{11 \pi}{36} \right)}} \right)} + \pi$$
x18 = -atan(sin(7*pi/36)/sin(11*pi/36)) - i*log(sqrt(sin(7*pi/36)^2 + sin(11*pi/36)^2)) + pi
Respuesta numérica
[src]
x1 = 67.9805743651791
x2 = 63.9663170855922
x3 = 56.2868683768171
x4 = 98.0002374994816
x5 = -87.7027949127151
x6 = 26.2672052425147
x7 = -6.02138591938044
x8 = -3.75245789178781
x9 = 22.0784150377283
x10 = 6.71951762017817
x11 = 60.3011256564041
x12 = 44.2440965380563
x13 = 72.1693645699655
x14 = -51.9235452468313
x15 = -43.720497762458
x16 = -70.0749694675723
x17 = 34.470252726888
x18 = 88.2263936883134
x19 = -84.037603483527
x20 = 40.2298392584693
x21 = -81.9432083811338
x22 = -92.5897168182992
x23 = 70.2495023927718
x24 = -31.8522588488965
x25 = -91.717052192302
x26 = -100.269165527074
x27 = -23.998277214922
x28 = 21.2057504117311
x29 = 0.261799387799149
x30 = -79.1506815779428
x31 = 100.269165527074
x32 = 36.0410490536829
x33 = 3.92699081698724
x34 = 86.3065315111196
x35 = -17.7150919077424
x36 = -37.9609112308767
x37 = -46.3384916404494
x38 = 948.499181996318
x39 = -61.6973890579996
x40 = -43.5459648372585
x41 = 71.6457657943672
x42 = 42.1497014356631
x43 = -50.0036830696375
x44 = -13.7008346281555
x45 = -19.2858882345373
x46 = -54.0179403492245
x47 = 96.0803753222878
x48 = -33.7721210260903
x49 = -10.0356431989674
x50 = 16.318828506147
x51 = 324.369441483146
x52 = 12.30457122656
x53 = -95.9058423970884
x54 = 50.0036830696375
x55 = 14.2244334037538
x56 = 74.2637596723587
x57 = 33.9466539512897
x58 = 6.02138591938044
x59 = 82.1177413063332
x60 = -47.7347550420449
x61 = 77.9289511015468
x62 = 23.998277214922
x63 = 19.9840199353351
x64 = 8.11578102177363
x65 = 38.1354441560761
x66 = -27.4889357189107
x67 = 46.5130245656489
x68 = -40.0553063332699
x69 = -65.8861792627859
x70 = 93.9859802198946
x71 = 58.2067305540109
x72 = -75.8345559991536
x73 = 22.6020138133266
x74 = -26.2672052425147
x75 = 90.3207887907066
x76 = -15.7952297305487
x77 = 52.0980781720307
x78 = -73.7401608967604
x79 = -21.9038821125288
x80 = -57.6831317784126
x81 = -89.7971900151083
x82 = 28.1870674197084
x83 = -45.8148928648512
x84 = -1.83259571459405
x85 = -7.9412480965742
x86 = -77.7544181763474
x87 = -59.7775268808058
x88 = -739.059671756999
x89 = 66.0607121879854
x90 = -35.8665161284835
x91 = 80.02334620394
x92 = -67.9805743651791
x93 = 47.7347550420449
x94 = -98.0002374994816
x95 = -29.7578637465033
x96 = 30.2814625221016
x96 = 30.2814625221016