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- La ecuación:
-
Ecuación x^4=(x-20)^2
-
Ecuación 5-2*(x-1)=4-x
-
Ecuación (x+6)^3=25*(x+6)
- Ecuación x+y+2=0
- Expresar {x} en función de y en la ecuación:
- 2*x+13*y=19
- -12*x+3*y=-9
- 10*x-18*y=3
- 16*x+7*y=8
- Derivada de:
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sin^2x+cos^2x
- Integral de d{x}:
- sin^2x+cos^2x
-
Expresiones idénticas
- sin^3x+cos^3x=sin^2x+cos^2x
- seno de al cubo x más coseno de al cubo x es igual a seno de al cuadrado x más coseno de al cuadrado x
- sin3x+cos3x=sin2x+cos2x
- sin³x+cos³x=sin²x+cos²x
- sin en el grado 3x+cos en el grado 3x=sin en el grado 2x+cos en el grado 2x
-
Expresiones semejantes
- sin^3x-cos^3x=sin^2x+cos^2x
- sin^3x+cos^3x=sin^2x-cos^2x
-
Expresiones con funciones
- Seno sin
- sin(x)=1/8
- sin(2*x)=-1
- sin(x)=5
- sin(8*x-pi/3)=0
- sin(x)=√2/2
- Coseno cos
- cos(pi*(x-1)/3)=1/2
- cos(3*x)=-1
- cos(x^2)=0
- cos(-x)=1
- cos4x=0
- Seno sin
- sin(x)=1/8
- sin(2*x)=-1
- sin(x)=5
- sin(8*x-pi/3)=0
- sin(x)=√2/2
- Coseno cos
- cos(pi*(x-1)/3)=1/2
- cos(3*x)=-1
- cos(x^2)=0
- cos(-x)=1
- cos4x=0
sin^3x+cos^3x=sin^2x+cos^2x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
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3 3 2 2 sin (x) + cos (x) = sin (x) + cos (x)
$$\sin^{3}{\left(x \right)} + \cos^{3}{\left(x \right)} = \sin^{2}{\left(x \right)} + \cos^{2}{\left(x \right)}$$
Suma y producto de raíces
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suma
pi / / ___\\ / / ___\\ / / ___\\ / / ___\\ -- + - 2*re\atan\1 - I*\/ 2 // - 2*I*im\atan\1 - I*\/ 2 // + - 2*re\atan\1 + I*\/ 2 // - 2*I*im\atan\1 + I*\/ 2 // 2
$$\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)}\right) + \left(\frac{\pi}{2} + \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)}\right)\right)$$
=
pi / / ___\\ / / ___\\ / / ___\\ / / ___\\ -- - 2*re\atan\1 + I*\/ 2 // - 2*re\atan\1 - I*\/ 2 // - 2*I*im\atan\1 + I*\/ 2 // - 2*I*im\atan\1 - I*\/ 2 // 2
$$- 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)} - 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)} + \frac{\pi}{2} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)}$$
producto
pi / / / ___\\ / / ___\\\ / / / ___\\ / / ___\\\ 0*--*\- 2*re\atan\1 - I*\/ 2 // - 2*I*im\atan\1 - I*\/ 2 ///*\- 2*re\atan\1 + I*\/ 2 // - 2*I*im\atan\1 + I*\/ 2 /// 2
$$0 \frac{\pi}{2} \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)}\right)$$
=
0
$$0$$
0
Respuesta rápida
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x1 = 0
$$x_{1} = 0$$
pi
x2 = --
2
$$x_{2} = \frac{\pi}{2}$$
/ / ___\\ / / ___\\ x3 = - 2*re\atan\1 - I*\/ 2 // - 2*I*im\atan\1 - I*\/ 2 //
$$x_{3} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 - \sqrt{2} i \right)}\right)}$$
/ / ___\\ / / ___\\ x4 = - 2*re\atan\1 + I*\/ 2 // - 2*I*im\atan\1 + I*\/ 2 //
$$x_{4} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(1 + \sqrt{2} i \right)}\right)}$$
x4 = -2*re(atan(1 + sqrt(2)*i)) - 2*i*im(atan(1 + sqrt(2)*i))
Respuesta numérica
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x1 = -6.2831853710703
x2 = -69.1150386913156
x3 = 58.1194648612742
x4 = -4.7123886543052
x5 = 0.0
x6 = 12.5663704209738
x7 = -25.1327415380683
x8 = -86.3937977169853
x9 = 76.9690197103284
x10 = -31.4159267385166
x11 = 45.5530937555641
x12 = -98.960168426996
x13 = -67.5442421400044
x14 = -29.845130077235
x15 = 62.8318527701137
x16 = -17.2787594636263
x17 = -73.8274272702661
x18 = 20.4203528971238
x19 = 32.9867229085985
x20 = -23.5619453892223
x21 = -23.5619449859209
x22 = 26.7035376074808
x23 = 345.575192215452
x24 = 69.115038109091
x25 = -36.128315407708
x26 = -75.3982238977935
x27 = 95.8185760776522
x28 = 100.53096474054
x29 = 51.8362789161893
x30 = -106.8141494103
x31 = 37.6991120117423
x32 = 70.6858347080917
x33 = 56.5486675806638
x34 = -10.9955742573891
x35 = -10.9955741975213
x36 = -92.6769829534337
x37 = -62.8318531490441
x38 = -50.2654823569461
x39 = -42.411500559126
x40 = -94.2477795073904
x41 = 81.6814090975898
x42 = 1.57079659839545
x43 = -48.6946858034808
x44 = 20.4203531255275
x45 = -87.9645943648228
x46 = -37.6991118786703
x47 = -62.8318532927495
x48 = 94.2477796093488
x49 = -18.8495566567427
x50 = 14.1371671334464
x51 = 25.1327409724573
x52 = 75.3982235745282
x53 = -54.9778716209105
x54 = -54.9778713095897
x55 = 32.9867225841519
x56 = 50.2654824461838
x57 = 32.9867221580314
x58 = -18.8495561616182
x59 = 7.8539817544154
x60 = 43.9822965618047
x61 = 87.9645942607522
x62 = 35380.6164645649
x63 = 89.5353909123641
x64 = 39.2699084940311
x65 = 37.6991119410686
x66 = 64.4026493079487
x67 = 43.9822971687748
x68 = -81.6814090405953
x69 = 18.8495556157537
x70 = -43.982297175623
x71 = -80.1106125702373
x72 = 6.28318528355781
x73 = 76.9690200083598
x74 = 83.2522056414558
x75 = -6.28318520741857
x76 = 64.4026493241994
x77 = -61.2610564810716
x78 = 87.9645943335328
x79 = -111.526539371047
x80 = 20.4203521688202
x81 = 81.6814090883321
x81 = 81.6814090883321