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- La ecuación:
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Ecuación 3^x=7
-
Ecuación 2+3x=-7x-5
-
Ecuación 3-x/3=x/2
-
Ecuación 3/(x-5)+8/x=2
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- -20*x-6*y=4
- 2*x-15*y=-1
- 8*x+3*y=4
-
Expresiones idénticas
- (uno \√ dos)cosx-(uno \√ dos)sinx= cero
- (1\√2) coseno de x menos (1\√2) seno de x es igual a 0
- (uno \√ dos) coseno de x menos (uno \√ dos) seno de x es igual a cero
- 1\√2cosx-1\√2sinx=0
- (1\√2)cosx-(1\√2)sinx=O
-
Expresiones semejantes
- (1\√2)cosx+(1\√2)sinx=0
-
Expresiones con funciones
- cosx
- cosx+sinx=sqrt2*sin(2x)
- cosx/3=sqrt(x-1)
- Cosx=2/5
- cosX=o
- cosx*cos3x-sinz*sin3x=-1/2
- sinx
- sinx=6,2+2x
- sinx=(3-i)/4
- Sinx^2-√3*sinx*cosx=0
- sinx*(cosx*sinx-1)=0
- sinx+tgx=sin2x
(1\√2)cosx-(1\√2)sinx=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
cos(x) sin(x) ------ - ------ = 0 ___ ___ \/ 2 \/ 2
$$- \frac{\sin{\left(x \right)}}{\sqrt{2}} + \frac{\cos{\left(x \right)}}{\sqrt{2}} = 0$$
Solución detallada
Tenemos la ecuación
$$- \frac{\sin{\left(x \right)}}{\sqrt{2}} + \frac{\cos{\left(x \right)}}{\sqrt{2}} = 0$$
cambiamos:
$$- \frac{\sqrt{2} \sin{\left(x \right)}}{2 \cos{\left(x \right)}} = - \frac{\sqrt{2}}{2}$$
o
$$- \frac{\sqrt{2} \tan{\left(x \right)}}{2} = - \frac{\sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
La ecuación se convierte en
$$\tan{\left(x \right)} = -1$$
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(-1 \right)}$$
O
$$x = \pi n - \frac{\pi}{4}$$
, donde n es cualquier número entero
$$- \frac{\sin{\left(x \right)}}{\sqrt{2}} + \frac{\cos{\left(x \right)}}{\sqrt{2}} = 0$$
cambiamos:
$$- \frac{\sqrt{2} \sin{\left(x \right)}}{2 \cos{\left(x \right)}} = - \frac{\sqrt{2}}{2}$$
o
$$- \frac{\sqrt{2} \tan{\left(x \right)}}{2} = - \frac{\sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Dividamos ambos miembros de la ecuación en -sqrt(2)/2
La ecuación se convierte en
$$\tan{\left(x \right)} = -1$$
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(-1 \right)}$$
O
$$x = \pi n - \frac{\pi}{4}$$
, donde n es cualquier número entero
Suma y producto de raíces
[src]
suma
pi -- 4
$$\frac{\pi}{4}$$
=
pi -- 4
$$\frac{\pi}{4}$$
producto
pi -- 4
$$\frac{\pi}{4}$$
=
pi -- 4
$$\frac{\pi}{4}$$
pi/4
Respuesta numérica
[src]
x1 = 10.2101761241668
x2 = 101.316363078271
x3 = -55.7632696012188
x4 = -93.4623814442964
x5 = -43.1968989868597
x6 = -46.3384916404494
x7 = -96.6039740978861
x8 = 1672.11268987317
x9 = -74.6128255227576
x10 = -5.49778714378214
x11 = 51.0508806208341
x12 = 95.0331777710912
x13 = 3.92699081698724
x14 = -18.0641577581413
x15 = -65.1880475619882
x16 = 32.2013246992954
x17 = 7.06858347057703
x18 = -30.6305283725005
x19 = -36.9137136796801
x20 = 91.8915851175014
x21 = 264.67918106494
x22 = 22.776546738526
x23 = -18525.1864800556
x24 = -62.0464549083984
x25 = -52.621676947629
x26 = 19.6349540849362
x27 = -11.7809724509617
x28 = 44.7676953136546
x29 = -24.3473430653209
x30 = -14.9225651045515
x31 = -49.4800842940392
x32 = -84.037603483527
x33 = 54.1924732744239
x34 = 88.7499924639117
x35 = 38.484510006475
x36 = -99.7455667514759
x37 = 69.9004365423729
x38 = 98.174770424681
x39 = 63.6172512351933
x40 = -8.63937979737193
x41 = 82.4668071567321
x42 = -71.4712328691678
x43 = -21.2057504117311
x44 = -68.329640215578
x45 = 41.6261026600648
x46 = 76.1836218495525
x47 = 60.4756585816035
x48 = -58.9048622548086
x49 = 35.3429173528852
x50 = 0.785398163397448
x51 = -80.8960108299372
x52 = -77.7544181763474
x53 = -90.3207887907066
x54 = 79.3252145031423
x55 = -87.1791961371168
x56 = -2.35619449019234
x57 = 57.3340659280137
x58 = -27.4889357189107
x59 = 85.6083998103219
x60 = 25.9181393921158
x61 = -40.0553063332699
x62 = 13.3517687777566
x63 = 16.4933614313464
x64 = 66.7588438887831
x65 = -33.7721210260903
x66 = 73.0420291959627
x67 = 29.0597320457056
x68 = 47.9092879672443
x69 = -228.550865548657
x69 = -228.550865548657