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- La ecuación:
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Ecuación x^4+2*x^2-8=0
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Ecuación x*(x^2+8*x+16)=5*(x+4)
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Ecuación ((57.6/(150-x))^0.15)*((150+x)+10)/171.712=1
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Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
- Gráfico de la función y =:
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sinx*cosx
- Derivada de:
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sinx*cosx
- Integral de d{x}:
- sinx*cosx
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Expresiones idénticas
- sinx*cosx=-cbrt(dos)/ cuatro
- seno de x multiplicar por coseno de x es igual a menos raíz cúbica de (2) dividir por 4
- seno de x multiplicar por coseno de x es igual a menos raíz cúbica de (dos) dividir por cuatro
- sinxcosx=-cbrt(2)/4
- sinxcosx=-cbrt2/4
- sinx*cosx=-cbrt(2) dividir por 4
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Expresiones semejantes
- sinx*cosx=+cbrt(2)/4
- 5sin^2(x)-3sin(x)cos(x)-2cos^2(x)=0
- sin(x)^(2)-3cos(x)^2+2sin(x)cos(x)=0
- sin(x)*cos(x)=0
- sin(x)^3+3*sin(x)^2*cos(x)-sin(x)*cos(x)^2-3*cos(x)^3=0
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Expresiones con funciones
- sinx
- sinx=0,13
- sinx+12=1
- Sinx+√3Cosx=0
- sinx
- sinx=1/3
- cosx
- cosx/2=1/2
- cosx-2sinx=|cosx|
- cosx=-3√2
- cosx/1+sinx=0
- cosx3=-12
- Raíz cúbica cbrt
- cbrt(x)y=x
- cbrt(x)*(log(1/x))=1
- cbrt(x^2-4*x+3)=-x^2+3*x-2
- cbrt(2*x-1)+cbrt(x-1)=1
- cbrt(x)=9
sinx*cosx=-cbrt(2)/4 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 ___
-\/ 2
sin(x)*cos(x) = -------
4
$$\sin{\left(x \right)} \cos{\left(x \right)} = \frac{\left(-1\right) \sqrt[3]{2}}{4}$$
Suma y producto de raíces
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suma
/ _________________________________ \ / _________________________________ \ / _________________________________ \ / _________________________________\
| / 2 | | / 2 | | / 2 | | / 2 |
| / / ______________\ ______________ | | / / ______________\ ______________| | / / ______________\ ______________| | ______________ / / ______________\ |
| / | 2/3 / 3 ___ | / 3 ___ 2/3| | 2/3 / | 2/3 / 3 ___ | / 3 ___ | | 2/3 / | 2/3 / 3 ___ | / 3 ___ | | 2/3 / 3 ___ / | 2/3 / 3 ___ | |
- 2*atan\\/ 1 + \2 - \/ -1 + 2*\/ 2 / + \/ -1 + 2*\/ 2 - 2 / + 2*atan\2 + \/ 1 + \2 - \/ -1 + 2*\/ 2 / - \/ -1 + 2*\/ 2 / + 2*atan\2 + \/ 1 + \2 + \/ -1 + 2*\/ 2 / + \/ -1 + 2*\/ 2 / + 2*atan\2 + \/ -1 + 2*\/ 2 - \/ 1 + \2 + \/ -1 + 2*\/ 2 / /
$$2 \operatorname{atan}{\left(- \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} + \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} \right)} + \left(\left(- 2 \operatorname{atan}{\left(- 2^{\frac{2}{3}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + \sqrt{-1 + 2 \sqrt[3]{2}} \right)} + 2 \operatorname{atan}{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + 2^{\frac{2}{3}} \right)}\right) + 2 \operatorname{atan}{\left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} + \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} \right)}\right)$$
=
/ _________________________________ \ / _________________________________ \ / _________________________________ \ / _________________________________\
| / 2 | | / 2 | | / 2 | | / 2 |
| / / ______________\ ______________ | | / / ______________\ ______________| | / / ______________\ ______________| | ______________ / / ______________\ |
| / | 2/3 / 3 ___ | / 3 ___ 2/3| | 2/3 / | 2/3 / 3 ___ | / 3 ___ | | 2/3 / | 2/3 / 3 ___ | / 3 ___ | | 2/3 / 3 ___ / | 2/3 / 3 ___ | |
- 2*atan\\/ 1 + \2 - \/ -1 + 2*\/ 2 / + \/ -1 + 2*\/ 2 - 2 / + 2*atan\2 + \/ 1 + \2 + \/ -1 + 2*\/ 2 / + \/ -1 + 2*\/ 2 / + 2*atan\2 + \/ 1 + \2 - \/ -1 + 2*\/ 2 / - \/ -1 + 2*\/ 2 / + 2*atan\2 + \/ -1 + 2*\/ 2 - \/ 1 + \2 + \/ -1 + 2*\/ 2 / /
$$- 2 \operatorname{atan}{\left(- 2^{\frac{2}{3}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + \sqrt{-1 + 2 \sqrt[3]{2}} \right)} + 2 \operatorname{atan}{\left(- \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} + \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} \right)} + 2 \operatorname{atan}{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + 2^{\frac{2}{3}} \right)} + 2 \operatorname{atan}{\left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} + \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} \right)}$$
producto
/ _________________________________ \ / _________________________________ \ / _________________________________ \ / _________________________________\
| / 2 | | / 2 | | / 2 | | / 2 |
| / / ______________\ ______________ | | / / ______________\ ______________| | / / ______________\ ______________| | ______________ / / ______________\ |
| / | 2/3 / 3 ___ | / 3 ___ 2/3| | 2/3 / | 2/3 / 3 ___ | / 3 ___ | | 2/3 / | 2/3 / 3 ___ | / 3 ___ | | 2/3 / 3 ___ / | 2/3 / 3 ___ | |
-2*atan\\/ 1 + \2 - \/ -1 + 2*\/ 2 / + \/ -1 + 2*\/ 2 - 2 /*2*atan\2 + \/ 1 + \2 - \/ -1 + 2*\/ 2 / - \/ -1 + 2*\/ 2 /*2*atan\2 + \/ 1 + \2 + \/ -1 + 2*\/ 2 / + \/ -1 + 2*\/ 2 /*2*atan\2 + \/ -1 + 2*\/ 2 - \/ 1 + \2 + \/ -1 + 2*\/ 2 / /
$$- 2 \operatorname{atan}{\left(- 2^{\frac{2}{3}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + \sqrt{-1 + 2 \sqrt[3]{2}} \right)} 2 \operatorname{atan}{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + 2^{\frac{2}{3}} \right)} 2 \operatorname{atan}{\left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} + \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} \right)} 2 \operatorname{atan}{\left(- \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} + \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} \right)}$$
=
/ _________________________________ \ / _________________________________ \ / _________________________________\ / _________________________________ \
| / 2 | | / 2 | | / 2 | | / 2 |
| / / ______________\ ______________| | / / ______________\ ______________| | ______________ / / ______________\ | | / / ______________\ ______________ |
| 2/3 / | 2/3 / 3 ___ | / 3 ___ | | 2/3 / | 2/3 / 3 ___ | / 3 ___ | | 2/3 / 3 ___ / | 2/3 / 3 ___ | | | / | 2/3 / 3 ___ | / 3 ___ 2/3|
-16*atan\2 + \/ 1 + \2 + \/ -1 + 2*\/ 2 / + \/ -1 + 2*\/ 2 /*atan\2 + \/ 1 + \2 - \/ -1 + 2*\/ 2 / - \/ -1 + 2*\/ 2 /*atan\2 + \/ -1 + 2*\/ 2 - \/ 1 + \2 + \/ -1 + 2*\/ 2 / /*atan\\/ 1 + \2 - \/ -1 + 2*\/ 2 / + \/ -1 + 2*\/ 2 - 2 /
$$- 16 \operatorname{atan}{\left(- 2^{\frac{2}{3}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + \sqrt{-1 + 2 \sqrt[3]{2}} \right)} \operatorname{atan}{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + 2^{\frac{2}{3}} \right)} \operatorname{atan}{\left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} + \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} \right)} \operatorname{atan}{\left(- \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} + \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} \right)}$$
-16*atan(2^(2/3) + sqrt(1 + (2^(2/3) + sqrt(-1 + 2*2^(1/3)))^2) + sqrt(-1 + 2*2^(1/3)))*atan(2^(2/3) + sqrt(1 + (2^(2/3) - sqrt(-1 + 2*2^(1/3)))^2) - sqrt(-1 + 2*2^(1/3)))*atan(2^(2/3) + sqrt(-1 + 2*2^(1/3)) - sqrt(1 + (2^(2/3) + sqrt(-1 + 2*2^(1/3)))^2))*atan(sqrt(1 + (2^(2/3) - sqrt(-1 + 2*2^(1/3)))^2) + sqrt(-1 + 2*2^(1/3)) - 2^(2/3))
Respuesta rápida
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/ _________________________________ \
| / 2 |
| / / ______________\ ______________ |
| / | 2/3 / 3 ___ | / 3 ___ 2/3|
x1 = -2*atan\\/ 1 + \2 - \/ -1 + 2*\/ 2 / + \/ -1 + 2*\/ 2 - 2 /
$$x_{1} = - 2 \operatorname{atan}{\left(- 2^{\frac{2}{3}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + \sqrt{-1 + 2 \sqrt[3]{2}} \right)}$$
/ _________________________________ \
| / 2 |
| / / ______________\ ______________|
| 2/3 / | 2/3 / 3 ___ | / 3 ___ |
x2 = 2*atan\2 + \/ 1 + \2 - \/ -1 + 2*\/ 2 / - \/ -1 + 2*\/ 2 /
$$x_{2} = 2 \operatorname{atan}{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + 2^{\frac{2}{3}} \right)}$$
/ _________________________________ \
| / 2 |
| / / ______________\ ______________|
| 2/3 / | 2/3 / 3 ___ | / 3 ___ |
x3 = 2*atan\2 + \/ 1 + \2 + \/ -1 + 2*\/ 2 / + \/ -1 + 2*\/ 2 /
$$x_{3} = 2 \operatorname{atan}{\left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} + \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} \right)}$$
/ _________________________________\
| / 2 |
| ______________ / / ______________\ |
| 2/3 / 3 ___ / | 2/3 / 3 ___ | |
x4 = 2*atan\2 + \/ -1 + 2*\/ 2 - \/ 1 + \2 + \/ -1 + 2*\/ 2 / /
$$x_{4} = 2 \operatorname{atan}{\left(- \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} + \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} \right)}$$
x4 = 2*atan(-sqrt(1 + (sqrt(-1 + 2*2^(1/3)) + 2^(2/3))^2) + sqrt(-1 + 2*2^(1/3)) + 2^(2/3))
Respuesta numérica
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x1 = -23.2211937110827
x2 = 8.19473282481519
x3 = -42.0707496326215
x4 = -94.5885307985345
x5 = 90.7654357632633
x6 = 27.0442887463539
x7 = -0.340751190840707
x8 = -63.1726042626366
x9 = -75.7389748769957
x10 = 37.3583606522368
x11 = 87.6238431096735
x12 = 100.190213724033
x13 = -53.7478263018672
x14 = 12.2256194235185
x15 = -35.7875643254419
x16 = -45.2123422862113
x17 = -97.7301234521243
x18 = -9.76552915161009
x19 = -29.5043790182623
x20 = 18.5088047306981
x21 = -57.7787129005705
x22 = 5.94243411633888
x23 = 21.6503973842878
x24 = 30.1858813999437
x25 = -86.0530467828786
x26 = -16.0487144587897
x27 = 20.7611034391744
x28 = 14.4779181319948
x29 = -44.3230483410978
x30 = 67.8849932430213
x31 = 58.4602152822519
x32 = 65.632694534545
x33 = 62.4911018809552
x34 = -31.7566777267386
x35 = -485.035313788782
x36 = 49.924731266596
x37 = -50.6062336482774
x38 = 1.9115475176356
x39 = 74.1681785502008
x40 = -79.769861475699
x41 = 23.9026960927642
x42 = 93.9070284168531
x43 = -13.7964157503134
x44 = 27.9335826914674
x45 = -72.597382223406
x46 = -95.477824743648
x47 = 59.3495092273654
x48 = 42.7522520143029
x49 = -66.3141969162264
x50 = 71.9158798417245
x51 = 96.1593271253294
x52 = 78.1990651489041
x53 = -82.0221601841753
x54 = -1.23004513595419
x55 = -67.2034908613398
x56 = 56.2079165737756
x57 = -3.4823438444305
x58 = -7.51323044313378
x59 = 86.73454916456
x60 = -60.0310116090468
x61 = 64.7434005894315
x62 = -51.4955275933909
x63 = 40.4999533058266
x64 = 46.7831386130062
x65 = 81.3406578024939
x66 = -88.3053454913549
x67 = -73.4866761685194
x68 = -25.4734924195591
x69 = 34.216767998647
x70 = -20.0796010574929
x71 = 52.1770299750723
x72 = -64.06189820775
x73 = 84.4822504560837
x74 = 80.4513638573804
x75 = 89.8761418181498
x76 = -38.0398630339182
x77 = 36.4690667071233
x78 = -22.3318997659693
x79 = 45.8938446678927
x80 = 43.6415459594164
x81 = 15.3672120771083
x82 = -6.62393649802029
x83 = -89.1946394364684
x84 = -28.6150850731488
x84 = -28.6150850731488