Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x^4+2*x^2-8=0
-
Ecuación x*(x^2+8*x+16)=5*(x+4)
-
Ecuación -25-x=-17
-
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
-
Expresiones idénticas
- 5sin^ dos (x)-3sin(x)cos(x)- dos cos^2(x)= cero
- 5 seno de al cuadrado (x) menos 3 seno de (x) coseno de (x) menos 2 coseno de al cuadrado (x) es igual a 0
- 5 seno de en el grado dos (x) menos 3 seno de (x) coseno de (x) menos dos coseno de al cuadrado (x) es igual a cero
- 5sin2(x)-3sin(x)cos(x)-2cos2(x)=0
- 5sin2x-3sinxcosx-2cos2x=0
- 5sin²(x)-3sin(x)cos(x)-2cos²(x)=0
- 5sin en el grado 2(x)-3sin(x)cos(x)-2cos en el grado 2(x)=0
- 5sin^2x-3sinxcosx-2cos^2x=0
- 5sin^2(x)-3sin(x)cos(x)-2cos^2(x)=O
-
Expresiones semejantes
- 5sin^2(x)+3sin(x)cos(x)-2cos^2(x)=0
- 5sin^2(x)-3sin(x)cos(x)+2cos^2(x)=0
- 5sin^2(x)-3sinxcosx-2cos^2(x)=0
-
Expresiones con funciones
- Coseno cos
- cos(x)=sqrt(3)
- cos2x=1/2
- cos(2*x)+3*sin(x)-2=0
- cos(2*x)+sqrt(2)*sin(x)+1=0
- cos(pi+x)=1/2
5sin^2(x)-3sin(x)cos(x)-2cos^2(x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 5*sin (x) - 3*sin(x)*cos(x) - 2*cos (x) = 0
$$\left(5 \sin^{2}{\left(x \right)} - 3 \sin{\left(x \right)} \cos{\left(x \right)}\right) - 2 \cos^{2}{\left(x \right)} = 0$$
Respuesta rápida
[src]
-3*pi
x1 = -----
4
$$x_{1} = - \frac{3 \pi}{4}$$
pi
x2 = --
4
$$x_{2} = \frac{\pi}{4}$$
/ ____\
|5 \/ 29 |
x3 = 2*atan|- - ------|
\2 2 /
$$x_{3} = 2 \operatorname{atan}{\left(\frac{5}{2} - \frac{\sqrt{29}}{2} \right)}$$
/ ____\
|5 \/ 29 |
x4 = 2*atan|- + ------|
\2 2 /
$$x_{4} = 2 \operatorname{atan}{\left(\frac{5}{2} + \frac{\sqrt{29}}{2} \right)}$$
x4 = 2*atan(5/2 + sqrt(29)/2)
Suma y producto de raíces
[src]
suma
/ ____\ / ____\ 3*pi pi |5 \/ 29 | |5 \/ 29 | - ---- + -- + 2*atan|- - ------| + 2*atan|- + ------| 4 4 \2 2 / \2 2 /
$$\left(\left(- \frac{3 \pi}{4} + \frac{\pi}{4}\right) + 2 \operatorname{atan}{\left(\frac{5}{2} - \frac{\sqrt{29}}{2} \right)}\right) + 2 \operatorname{atan}{\left(\frac{5}{2} + \frac{\sqrt{29}}{2} \right)}$$
=
/ ____\ / ____\
|5 \/ 29 | |5 \/ 29 | pi
2*atan|- + ------| + 2*atan|- - ------| - --
\2 2 / \2 2 / 2
$$- \frac{\pi}{2} + 2 \operatorname{atan}{\left(\frac{5}{2} - \frac{\sqrt{29}}{2} \right)} + 2 \operatorname{atan}{\left(\frac{5}{2} + \frac{\sqrt{29}}{2} \right)}$$
producto
/ ____\ / ____\ -3*pi pi |5 \/ 29 | |5 \/ 29 | -----*--*2*atan|- - ------|*2*atan|- + ------| 4 4 \2 2 / \2 2 /
$$- \frac{3 \pi}{4} \frac{\pi}{4} \cdot 2 \operatorname{atan}{\left(\frac{5}{2} - \frac{\sqrt{29}}{2} \right)} 2 \operatorname{atan}{\left(\frac{5}{2} + \frac{\sqrt{29}}{2} \right)}$$
=
/ ____\ / ____\
2 |5 \/ 29 | |5 \/ 29 |
-3*pi *atan|- + ------|*atan|- - ------|
\2 2 / \2 2 /
----------------------------------------
4
$$- \frac{3 \pi^{2} \operatorname{atan}{\left(\frac{5}{2} - \frac{\sqrt{29}}{2} \right)} \operatorname{atan}{\left(\frac{5}{2} + \frac{\sqrt{29}}{2} \right)}}{4}$$
-3*pi^2*atan(5/2 + sqrt(29)/2)*atan(5/2 - sqrt(29)/2)/4
Respuesta numérica
[src]
x1 = 32.2013246992954
x2 = -27.4889357189107
x3 = 10.2101761241668
x4 = 71.8761246554529
x5 = 5.90267893006722
x6 = -69.4955447560878
x7 = -3.52209903070216
x8 = -97.769878638396
x9 = -53.7875814881388
x10 = -44.3628035273695
x11 = -52.621676947629
x12 = 82.4668071567321
x13 = 62.4513466946835
x14 = -77.7544181763474
x15 = 16.4933614313464
x16 = 41.6261026600648
x17 = -74.6128255227576
x18 = -46.3384916404494
x19 = -66.353952102498
x20 = -5.49778714378214
x21 = -534.451257487377
x22 = -84.037603483527
x23 = 91.8915851175014
x24 = -30.6305283725005
x25 = -55.7632696012188
x26 = -71.4712328691678
x27 = 46.7433834267345
x28 = 100.150458537761
x29 = 60.4756585816035
x30 = -19.2300622986511
x31 = 3.92699081698724
x32 = 18.4690495444264
x33 = 38.484510006475
x34 = 24.752234851606
x35 = -90.3207887907066
x36 = -82.061915370447
x37 = 98.174770424681
x38 = 2.76108627647743
x39 = -18.0641577581413
x40 = 76.1836218495525
x41 = -9.80528433788174
x42 = -40.0553063332699
x43 = -85.2035080240368
x44 = 56.1681613875039
x45 = -22.3716549522409
x46 = -60.0707667953184
x47 = -31.7964329130103
x48 = -68.329640215578
x49 = -33.7721210260903
x50 = -96.6039740978861
x51 = -91.4866933312164
x52 = -49.4800842940392
x53 = 90.7256805769916
x54 = -75.7787300632674
x55 = 78.1593099626325
x56 = -25.5132476058307
x57 = -47.5043961809593
x58 = -50.6459888345491
x59 = -41.2212108737797
x60 = 12.1858642372468
x61 = 25.9181393921158
x62 = 85.6083998103219
x63 = -16.0884696450613
x64 = -99.7455667514759
x65 = -8.63937979737193
x66 = 54.1924732744239
x67 = -24.3473430653209
x68 = 63.6172512351933
x69 = 19.6349540849362
x70 = -63.2123594489082
x71 = 49.8849760803243
x72 = -93.4623814442964
x73 = 40.4601981195549
x74 = 27.8938275051958
x75 = 93.8672732305814
x76 = -11.7809724509617
x77 = -62.0464549083984
x78 = -0.380506377112365
x79 = 68.7345320018631
x80 = 81.3009026162223
x81 = 69.9004365423729
x82 = 84.4424952698121
x83 = -38.0796182201899
x84 = -2.35619449019234
x85 = 34.1770128123754
x86 = 47.9092879672443
x87 = -88.3451006776266
x87 = -88.3451006776266