Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación (7-x)^2=(x+16)^2
-
Ecuación x/9+x=-10/3
-
Ecuación (x-2)^2+(x-3)^2=2x^2
-
Ecuación sin(x)=3/4
- Expresar {x} en función de y en la ecuación:
- 4*x+18*y=-7
- -6*x-2*y=-10
- 7*x-2*y=20
- 7*x+20*y=-17
-
Expresiones idénticas
- (sin(x)+sqrt(dos)/ dos)*(cos(x)-sqrt(dos)/ dos)= cero
- ( seno de (x) más raíz cuadrada de (2) dividir por 2) multiplicar por ( coseno de (x) menos raíz cuadrada de (2) dividir por 2) es igual a 0
- ( seno de (x) más raíz cuadrada de (dos) dividir por dos) multiplicar por ( coseno de (x) menos raíz cuadrada de (dos) dividir por dos) es igual a cero
- (sin(x)+√(2)/2)*(cos(x)-√(2)/2)=0
- (sin(x)+sqrt(2)/2)(cos(x)-sqrt(2)/2)=0
- sinx+sqrt2/2cosx-sqrt2/2=0
- (sin(x)+sqrt(2)/2)*(cos(x)-sqrt(2)/2)=O
- (sin(x)+sqrt(2) dividir por 2)*(cos(x)-sqrt(2) dividir por 2)=0
-
Expresiones semejantes
- (sin(x)+sqrt(2)/2)*(cos(x)+sqrt(2)/2)=0
- cos(x)*sin(x)+sqrt(2)/2*cos(x)-sqrt(2)/2*sin(x)-(1/2)=0
- (sin(x)-sqrt(2)/2)*(cos(x)-sqrt(2)/2)=0
- (sinx+sqrt(2)/2)*(cosx-sqrt(2)/2)=0
-
Expresiones con funciones
- Seno sin
- sin(x)=3/4
- sin(x)=2/3
- sinx(2sinx-1)=0
- sin(pi*x)=1/2
- sinx/2=1
- Raíz cuadrada sqrt
- sqrt(x+3)=3
- sqrt(x-2)=5
- sqrt(x)
- sqrt(3)/2*cos(x)+1/2*sin(x)=1
- sqrt(n)^2=3*n-n
- Coseno cos
- cos(x/2)=(1/2)
- cos(x)=-2/3
- cos(2*x)=-(1/2)
- cos(x)^(2)=(1/2)
- cosx=1
- Raíz cuadrada sqrt
- sqrt(x+3)=3
- sqrt(x-2)=5
- sqrt(x)
- sqrt(3)/2*cos(x)+1/2*sin(x)=1
- sqrt(n)^2=3*n-n
(sin(x)+sqrt(2)/2)*(cos(x)-sqrt(2)/2)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ ___\ / ___\ | \/ 2 | | \/ 2 | |sin(x) + -----|*|cos(x) - -----| = 0 \ 2 / \ 2 /
$$\left(\sin{\left(x \right)} + \frac{\sqrt{2}}{2}\right) \left(\cos{\left(x \right)} - \frac{\sqrt{2}}{2}\right) = 0$$
Suma y producto de raíces
[src]
suma
/ ___________\ / ___________\
| / ___ | | / ___ |
3*pi pi |\/ 2 - \/ 2 | |\/ 2 - \/ 2 |
- ---- - -- - 2*atan|--------------| + 2*atan|--------------|
4 4 | ___________| | ___________|
| / ___ | | / ___ |
\\/ 2 + \/ 2 / \\/ 2 + \/ 2 /
$$\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{4}\right) - 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}\right) + 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}$$
=
-pi
$$- \pi$$
producto
/ ___________\ / ___________\
| / ___ | | / ___ |
-3*pi -pi |\/ 2 - \/ 2 | |\/ 2 - \/ 2 |
-----*----*-2*atan|--------------|*2*atan|--------------|
4 4 | ___________| | ___________|
| / ___ | | / ___ |
\\/ 2 + \/ 2 / \\/ 2 + \/ 2 /
$$- \frac{3 \pi}{4} \left(- \frac{\pi}{4}\right) \left(- 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}\right) 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}$$
=
/ ___________\
| / ___ |
2 2|\/ 2 - \/ 2 |
-3*pi *atan |--------------|
| ___________|
| / ___ |
\\/ 2 + \/ 2 /
----------------------------
4
$$- \frac{3 \pi^{2} \operatorname{atan}^{2}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}}{4}$$
-3*pi^2*atan(sqrt(2 - sqrt(2))/sqrt(2 + sqrt(2)))^2/4
Respuesta rápida
[src]
-3*pi
x1 = -----
4
$$x_{1} = - \frac{3 \pi}{4}$$
-pi
x2 = ----
4
$$x_{2} = - \frac{\pi}{4}$$
/ ___________\
| / ___ |
|\/ 2 - \/ 2 |
x3 = -2*atan|--------------|
| ___________|
| / ___ |
\\/ 2 + \/ 2 /
$$x_{3} = - 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}$$
/ ___________\
| / ___ |
|\/ 2 - \/ 2 |
x4 = 2*atan|--------------|
| ___________|
| / ___ |
\\/ 2 + \/ 2 /
$$x_{4} = 2 \operatorname{atan}{\left(\frac{\sqrt{2 - \sqrt{2}}}{\sqrt{\sqrt{2} + 2}} \right)}$$
x4 = 2*atan(sqrt(2 - sqrt(2))/sqrt(sqrt(2) + 2))
Respuesta numérica
[src]
x1 = 10.2101761241668
x2 = -51.050879648505
x3 = -44.7676957361531
x4 = 55.763269743648
x5 = 80.896010725149
x6 = 36.9137133992238
x7 = 95.0331777710912
x8 = 3.92699081698724
x9 = -36.9137136796801
x10 = -7.06858433593904
x11 = -11.7809724509617
x12 = -13.3517689495277
x13 = -7.06858278595795
x14 = -24.3473430653209
x15 = -0.785398387140928
x16 = 63.6172512351933
x17 = 69.9004365423729
x18 = 98.174770424681
x19 = 62.0464548193084
x20 = -82.4668069702928
x21 = 49.480084433185
x22 = 43.196900220913
x23 = -0.785398070020699
x24 = -95.0331776963524
x25 = 11.7809725867768
x26 = -33.7721210260903
x27 = 49.4800844750815
x28 = 99.745566900108
x29 = -46.3384916404494
x30 = 93.4623816213382
x31 = 30.6305282041351
x32 = 51.0508806208341
x33 = -88.7499927410741
x34 = -18.0641577581413
x35 = 87.179194571984
x36 = 7.06858347057703
x37 = -63.6172513138819
x38 = -88.7499919932625
x39 = -49.4800842940392
x40 = 43.196898824959
x41 = -68.329640215578
x42 = 60.4756585816035
x43 = -58.9048622548086
x44 = -77.7544181763474
x45 = -90.3207887907066
x46 = 57.3340659280137
x47 = 13.3517687777566
x48 = -93.4623814442964
x49 = -7.06858351214916
x50 = 55.7632696992475
x51 = -74.6128255227576
x52 = -5.49778714378214
x53 = 68.3296401648505
x54 = -32.2013245705094
x55 = -30.6305283725005
x56 = -62.0464549083984
x57 = 18.0641575840826
x58 = 19.6349540849362
x59 = -95.0331780630375
x60 = -14.9225651045515
x61 = -25.918140046808
x62 = 54.1924732744239
x63 = 5.49778732761904
x64 = -99.7455667514759
x65 = 82.4668071567321
x66 = -76.1836207058187
x67 = -71.4712328691678
x68 = -21.2057504117311
x69 = -76.1836217282209
x70 = -57.3340661026433
x71 = -80.8960108299372
x72 = -27.4889357189107
x73 = 36.9137136019555
x74 = 66.7588438887831
x75 = 73.0420291959627
x76 = 47.9092879672443
x77 = -55.7632696012188
x78 = 74.6128253583021
x79 = -65.1880475619882
x80 = 32.2013246992954
x81 = -19.6349541546828
x82 = 22.776546738526
x83 = 24.3473430048829
x84 = -38.484509820882
x85 = -84.037603483527
x86 = 38.484510006475
x87 = 87.1791957824773
x88 = 76.1836218495525
x89 = -51.0508806134381
x90 = 30.6305273736884
x91 = 79.3252145031423
x92 = 25.9181393921158
x93 = -40.0553063332699
x94 = 531.714556620072
x95 = 16.4933614313464
x96 = 29.0597320457056
x97 = -44.7676949864154
x98 = 91.8915851175014
x98 = 91.8915851175014