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- La ecuación:
-
Ecuación x^3+3x^2-x-3=0
-
Ecuación (x+9)^2=36*x
-
Ecuación x^3-6x^2+11x-6=0
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Ecuación a+120=2000/5
- 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
- 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
-
Expresiones idénticas
- sinx*cosx=√ dos / cuatro
- seno de x multiplicar por coseno de x es igual a √2 dividir por 4
- seno de x multiplicar por coseno de x es igual a √ dos dividir por cuatro
- sinxcosx=√2/4
- sinx*cosx=√2 dividir por 4
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Expresiones semejantes
- sin(x)*cos(x)=1
- cos^2x-3sinxcosx+1=0
- 3*sin(x)^(2)+2*sin(x)*cos(x)-cos(x)^(2)=23*sin(x)^(2)+2*sin(x)*cos(x)-cos(x)^(2)
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Expresiones con funciones
- sinx
- sinx*cosx+cos^2x=1
- sinx+cosx=1/sqrt(2)
- sinx-cosx=2
- sinx=12/4
- sinx=0,8634
- cosx
- cosx-2|cosx|=y
sinx*cosx=√2/4 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___
\/ 2
sin(x)*cos(x) = -----
4
$$\sin{\left(x \right)} \cos{\left(x \right)} = \frac{\sqrt{2}}{4}$$
Respuesta rápida
[src]
/ ___________\
| ___ ___ / ___ |
x1 = -2*atan\-1 + \/ 2 + \/ 2 *\/ 2 - \/ 2 /
$$x_{1} = - 2 \operatorname{atan}{\left(-1 + \sqrt{2} \sqrt{2 - \sqrt{2}} + \sqrt{2} \right)}$$
/ ___________\
| ___ ___ / ___ |
x2 = -2*atan\1 + \/ 2 + \/ 2 *\/ 2 + \/ 2 /
$$x_{2} = - 2 \operatorname{atan}{\left(1 + \sqrt{2} + \sqrt{2} \sqrt{\sqrt{2} + 2} \right)}$$
/ ___________\
| ___ ___ / ___ |
x3 = 2*atan\1 - \/ 2 + \/ 2 *\/ 2 - \/ 2 /
$$x_{3} = 2 \operatorname{atan}{\left(- \sqrt{2} + 1 + \sqrt{2} \sqrt{2 - \sqrt{2}} \right)}$$
/ ___________\
| ___ ___ / ___ |
x4 = -2*atan\1 + \/ 2 - \/ 2 *\/ 2 + \/ 2 /
$$x_{4} = - 2 \operatorname{atan}{\left(- \sqrt{2} \sqrt{\sqrt{2} + 2} + 1 + \sqrt{2} \right)}$$
x4 = -2*atan(-sqrt(2)*sqrt(sqrt(2) + 2) + 1 + sqrt(2))
Suma y producto de raíces
[src]
suma
/ ___________\ / ___________\ / ___________\ / ___________\
| ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ |
- 2*atan\-1 + \/ 2 + \/ 2 *\/ 2 - \/ 2 / - 2*atan\1 + \/ 2 + \/ 2 *\/ 2 + \/ 2 / + 2*atan\1 - \/ 2 + \/ 2 *\/ 2 - \/ 2 / - 2*atan\1 + \/ 2 - \/ 2 *\/ 2 + \/ 2 /
$$\left(\left(- 2 \operatorname{atan}{\left(1 + \sqrt{2} + \sqrt{2} \sqrt{\sqrt{2} + 2} \right)} - 2 \operatorname{atan}{\left(-1 + \sqrt{2} \sqrt{2 - \sqrt{2}} + \sqrt{2} \right)}\right) + 2 \operatorname{atan}{\left(- \sqrt{2} + 1 + \sqrt{2} \sqrt{2 - \sqrt{2}} \right)}\right) - 2 \operatorname{atan}{\left(- \sqrt{2} \sqrt{\sqrt{2} + 2} + 1 + \sqrt{2} \right)}$$
=
/ ___________\ / ___________\ / ___________\ / ___________\
| ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ |
- 2*atan\1 + \/ 2 + \/ 2 *\/ 2 + \/ 2 / - 2*atan\1 + \/ 2 - \/ 2 *\/ 2 + \/ 2 / - 2*atan\-1 + \/ 2 + \/ 2 *\/ 2 - \/ 2 / + 2*atan\1 - \/ 2 + \/ 2 *\/ 2 - \/ 2 /
$$- 2 \operatorname{atan}{\left(1 + \sqrt{2} + \sqrt{2} \sqrt{\sqrt{2} + 2} \right)} - 2 \operatorname{atan}{\left(-1 + \sqrt{2} \sqrt{2 - \sqrt{2}} + \sqrt{2} \right)} - 2 \operatorname{atan}{\left(- \sqrt{2} \sqrt{\sqrt{2} + 2} + 1 + \sqrt{2} \right)} + 2 \operatorname{atan}{\left(- \sqrt{2} + 1 + \sqrt{2} \sqrt{2 - \sqrt{2}} \right)}$$
producto
/ ___________\ / ___________\ / ___________\ / ___________\
| ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ |
-2*atan\-1 + \/ 2 + \/ 2 *\/ 2 - \/ 2 /*-2*atan\1 + \/ 2 + \/ 2 *\/ 2 + \/ 2 /*2*atan\1 - \/ 2 + \/ 2 *\/ 2 - \/ 2 /*-2*atan\1 + \/ 2 - \/ 2 *\/ 2 + \/ 2 /
$$- 2 \operatorname{atan}{\left(-1 + \sqrt{2} \sqrt{2 - \sqrt{2}} + \sqrt{2} \right)} \left(- 2 \operatorname{atan}{\left(1 + \sqrt{2} + \sqrt{2} \sqrt{\sqrt{2} + 2} \right)}\right) 2 \operatorname{atan}{\left(- \sqrt{2} + 1 + \sqrt{2} \sqrt{2 - \sqrt{2}} \right)} \left(- 2 \operatorname{atan}{\left(- \sqrt{2} \sqrt{\sqrt{2} + 2} + 1 + \sqrt{2} \right)}\right)$$
=
/ ___________\ / ___________\ / ___________\ / ___________\
| ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ | | ___ ___ / ___ |
-16*atan\1 + \/ 2 + \/ 2 *\/ 2 + \/ 2 /*atan\1 + \/ 2 - \/ 2 *\/ 2 + \/ 2 /*atan\1 - \/ 2 + \/ 2 *\/ 2 - \/ 2 /*atan\-1 + \/ 2 + \/ 2 *\/ 2 - \/ 2 /
$$- 16 \operatorname{atan}{\left(-1 + \sqrt{2} \sqrt{2 - \sqrt{2}} + \sqrt{2} \right)} \operatorname{atan}{\left(1 + \sqrt{2} + \sqrt{2} \sqrt{\sqrt{2} + 2} \right)} \operatorname{atan}{\left(- \sqrt{2} + 1 + \sqrt{2} \sqrt{2 - \sqrt{2}} \right)} \operatorname{atan}{\left(- \sqrt{2} \sqrt{\sqrt{2} + 2} + 1 + \sqrt{2} \right)}$$
-16*atan(1 + sqrt(2) + sqrt(2)*sqrt(2 + sqrt(2)))*atan(1 + sqrt(2) - sqrt(2)*sqrt(2 + sqrt(2)))*atan(1 - sqrt(2) + sqrt(2)*sqrt(2 - sqrt(2)))*atan(-1 + sqrt(2) + sqrt(2)*sqrt(2 - sqrt(2)))
Respuesta numérica
[src]
x1 = 6.67588438887831
x2 = 104.850654813559
x3 = 7.46128255227576
x4 = 34.9502182711865
x5 = 82.0741080750334
x6 = -23.9546439836222
x7 = 20.0276531666349
x8 = 44.3749962319558
x9 = 42.0188017417635
x10 = -87.5718952188155
x11 = -93.8550805259951
x12 = 72.649330114264
x13 = -96.2112750161874
x14 = -15.3152641862502
x15 = 16.1006623496477
x16 = -81.2887099116359
x17 = 4.31968989868597
x18 = 9.8174770424681
x19 = -74.2201264410589
x20 = 70.2931356240716
x21 = -71.8639319508665
x22 = 57.7267650097125
x23 = -75.0055246044563
x24 = 79.717913584841
x25 = 31.8086256175967
x26 = -45.9457925587507
x27 = -89.9280897090078
x28 = -31.0232274541992
x29 = 4622.46089067568
x30 = -14.5298660228528
x31 = -78.1471172580461
x32 = 78.9325154214436
x33 = -80.5033117482384
x34 = -43.5895980685584
x35 = 86.0010988920206
x36 = 66.3661448070844
x37 = 51.4435797025329
x38 = 95.42587685279
x39 = -5.89048622548086
x40 = 29.4524311274043
x41 = -100.138265833175
x42 = 35.7356164345839
x43 = -52.2289778659303
x44 = 60.0829594999048
x45 = -27.8816348006094
x46 = 75.7909227678538
x47 = 56.941366846315
x48 = -37.3064127613788
x49 = -49.872783375738
x50 = 92.2842841992002
x51 = 22.3838476568273
x52 = -53.0143760293278
x53 = -9.03207887907065
x54 = -1.96349540849362
x55 = 13.7444678594553
x56 = 64.009950316892
x57 = 26.3108384738145
x58 = -8.24668071567321
x59 = -30.2378292908018
x60 = -55.3705705195201
x61 = 12.9590696960579
x62 = -99.3528676697772
x63 = 88.3572933822129
x64 = -21.5984494934298
x65 = -56.1559686829176
x66 = 94.6404786893925
x67 = -17.6714586764426
x68 = 73.4347282776614
x69 = 53.7997741927252
x70 = 27323.6094055155
x71 = 97.7820713429823
x72 = 38.0918109247762
x73 = -61.6537558266997
x74 = -12.1736715326604
x75 = 89.1426915456104
x76 = 0.392699081698724
x77 = -59.2975613365073
x78 = 48.3019870489431
x79 = 28.6670329640069
x80 = -34.164820107789
x81 = 50.6581815391354
x82 = -58.5121631731099
x83 = -39.6626072515711
x84 = -65.5807466436869
x85 = -83.6449044018282
x86 = -36.5210145979813
x87 = -67.9369411338793
x88 = 100.923663996572
x88 = 100.923663996572