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- La ecuación:
-
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
-
Ecuación x(x^2+2x+1)=6(x+1)
-
Ecuación 4x+1=-3x+15
- Ecuación (3x−36)⋅(x+8)=0
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -9*x+11*y=9
- -4*x-8*y=-20
-
Expresiones idénticas
- sin(x)-2cos(x)= cero
- seno de (x) menos 2 coseno de (x) es igual a 0
- seno de (x) menos 2 coseno de (x) es igual a cero
- sinx-2cosx=0
- sin(x)-2cos(x)=O
-
Expresiones semejantes
- 2sinx-2cosx=cosx.
- sinx*c*cosx=c*sinx-2*cosx+2*cosx
- sin(x)+2cos(x)=0
- sinx-2cosx=2
- sinx-2cosx=0
-
Expresiones con funciones
- Seno sin
- sin(x)=pi
- sin(4*x)=0
- sin(x)^2=1
- sin(x)=(1/2)
- sin(x)+sin(2*x)+sin(3*x)=0
sin(x)-2cos(x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} - 2 \cos{\left(x \right)} = 0$$
cambiamos:
$$\frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} = 2$$
o
$$\tan{\left(x \right)} = 2$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(-2 \right)}$$
O
$$x = \pi n - \operatorname{atan}{\left(2 \right)}$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} - 2 \cos{\left(x \right)} = 0$$
cambiamos:
$$\frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} = 2$$
o
$$\tan{\left(x \right)} = 2$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(-2 \right)}$$
O
$$x = \pi n - \operatorname{atan}{\left(2 \right)}$$
, donde n es cualquier número entero
Suma y producto de raíces
[src]
suma
atan(2)
$$\operatorname{atan}{\left(2 \right)}$$
=
atan(2)
$$\operatorname{atan}{\left(2 \right)}$$
producto
atan(2)
$$\operatorname{atan}{\left(2 \right)}$$
=
atan(2)
$$\operatorname{atan}{\left(2 \right)}$$
atan(2)
Respuesta numérica
[src]
x1 = 51.3726311752308
x2 = -55.4415190468222
x3 = 45.0894458680512
x4 = -83.7158529291303
x5 = -17.7424072037447
x6 = 107.921298939847
x7 = 35.6646679072818
x8 = 67.0805944431797
x9 = -14.6008145501549
x10 = -58.583111700412
x11 = 95.3549283254879
x12 = 48.231038521641
x13 = 2813953.92130298
x14 = -74.2910749683609
x15 = 117.346076900616
x16 = -96.2822235434895
x17 = 7.39033402497368
x18 = 4.24874137138388
x19 = 89.0717430183083
x20 = 57.6558164824104
x21 = -49.1583337396426
x22 = 29.3814826001022
x23 = -42.875148432463
x24 = -27.167185164514
x25 = -77.4326676219507
x26 = -93.1406308898997
x27 = 26.2398899465124
x28 = 41.9478532144614
x29 = -20.8839998573345
x30 = -11.4592218965651
x31 = 70.2221870967695
x32 = 60.7974091360002
x33 = -33.4503704716936
x34 = -64.8662970075916
x35 = 16.8151119857431
x36 = 23.0982972929226
x37 = -68.0078896611814
x38 = 13.6735193321533
x39 = -30.3087778181038
x40 = 126.770854861386
x41 = 92.2133356718981
x42 = 98.4965209790777
x43 = -80.5742602755405
x44 = -71.1494823147711
x45 = 10.5319266785635
x46 = -89.9990382363099
x47 = -8.31762924297529
x48 = -61.7247043540018
x49 = -24.0255925109243
x50 = 1.10714871779409
x51 = -46.0167410860528
x52 = 85.9301503647185
x53 = -36.5919631252834
x54 = -52.2999263932324
x55 = -99.4238161970793
x56 = 38.8062605608716
x57 = -2.0344439357957
x58 = 76.5053724039491
x59 = 63.93900178959
x60 = 82.7885577111287
x61 = 54.5142238288206
x62 = 79.6469650575389
x63 = 32.523075253692
x64 = -39.7335557788732
x65 = 73.3637797503593
x66 = 19.9567046393328
x67 = -86.8574455827201
x68 = -5.1760365893855
x68 = -5.1760365893855
Gráfico