Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación (x-11)^4=(x+3)^4
-
Ecuación √(x^2-1)^3=2*x
-
Ecuación -x/12+x=55/12
-
Ecuación 49,86-(0.3+0.049*49,86)=x
- Expresar {x} en función de y en la ecuación:
- 18*x-11*y=2
- 12*x-14*y=20
- -3*x-20*y=-13
- -16*x+14*y=-9
-
Expresiones idénticas
- sin^3x+cos^3x= uno
- seno de al cubo x más coseno de al cubo x es igual a 1
- seno de al cubo x más coseno de al cubo x es igual a uno
- sin3x+cos3x=1
- sin³x+cos³x=1
- sin en el grado 3x+cos en el grado 3x=1
-
Expresiones semejantes
- sin^3x-cos^3x=1
-
Expresiones con funciones
- Seno sin
- sin(x)=-1/5
- sin(3*x-pi/6)=1/2
- sin(x)=-3/2
- sin(x)^3+cos(x)^3=1
- sin(pi*x/3)=1/2
- Coseno cos
- cos(x)+sin(x)=1
- cos(2*x)=1
- cos(3*x)=0
- cos(-x)=-1
- cos(x)=-0,5
sin^3x+cos^3x=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 3 sin (x) + cos (x) = 1
$$\sin^{3}{\left(x \right)} + \cos^{3}{\left(x \right)} = 1$$
Suma y producto de raíces
[src]
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
[src]
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
[src]
x1 = -43.982297175623
x2 = 58.1194648612742
x3 = 81.6814090883321
x4 = 20.4203531255275
x5 = -25.1327415380683
x6 = 100.53096474054
x7 = 32.9867225841519
x8 = -37.6991118786703
x9 = 81.6814090975898
x10 = 12.5663704209738
x11 = 56.5486675806638
x12 = -75.3982238977935
x13 = -94.2477795073904
x14 = 20.4203528971238
x15 = -36.128315407708
x16 = 95.8185760776522
x17 = 20.4203521688202
x18 = 26.7035376074808
x19 = 6.28318528355781
x20 = 75.3982235745282
x21 = -92.6769829534337
x22 = -23.5619449859209
x23 = -86.3937977169853
x24 = -73.8274272702661
x25 = 83.2522056414558
x26 = -54.9778713095897
x27 = 94.2477796093488
x28 = 7.8539817544154
x29 = 45.5530937555641
x30 = 43.9822971687748
x31 = 345.575192215452
x32 = 64.4026493079487
x33 = -80.1106125702373
x34 = 76.9690200083598
x35 = -18.8495566567427
x36 = 0.0
x37 = 35380.6164645649
x38 = -4.7123886543052
x39 = -6.28318520741857
x40 = -29.845130077235
x41 = -17.2787594636263
x42 = -98.960168426996
x43 = 69.115038109091
x44 = 14.1371671334464
x45 = -42.411500559126
x46 = -31.4159267385166
x47 = 87.9645943335328
x48 = 1.57079659839545
x49 = 51.8362789161893
x50 = -62.8318531490441
x51 = -23.5619453892223
x52 = -111.526539371047
x53 = 62.8318527701137
x54 = -48.6946858034808
x55 = 87.9645942607522
x56 = 32.9867229085985
x57 = 64.4026493241994
x58 = -106.8141494103
x59 = 76.9690197103284
x60 = 25.1327409724573
x61 = 50.2654824461838
x62 = 37.6991119410686
x63 = -54.9778716209105
x64 = -81.6814090405953
x65 = 37.6991120117423
x66 = -62.8318532927495
x67 = -18.8495561616182
x68 = -10.9955742573891
x69 = -87.9645943648228
x70 = -69.1150386913156
x71 = 43.9822965618047
x72 = -10.9955741975213
x73 = 89.5353909123641
x74 = 18.8495556157537
x75 = 32.9867221580314
x76 = 70.6858347080917
x77 = -67.5442421400044
x78 = -6.2831853710703
x79 = -61.2610564810716
x80 = 39.2699084940311
x81 = -50.2654823569461
x81 = -50.2654823569461