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- La ecuación:
-
Ecuación (x-3)*(x+2)=0
-
Ecuación (11x+14)-(5x-8)=25
-
Ecuación z^2-6*z+10=0
-
Ecuación 4/(x-4)=-5
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- 20*x+5*y=-3
- Integral de d{x}:
- cos(x/2)
- Derivada de:
-
cos(x/2)
- Gráfico de la función y =:
-
cos(x/2)
-
Expresiones idénticas
- cos(x/ dos)= uno
- coseno de (x dividir por 2) es igual a 1
- coseno de (x dividir por dos) es igual a uno
- cosx/2=1
- cos(x dividir por 2)=1
-
Expresiones semejantes
- cos(x/2+pi/4)=0
- cos(x/2-pi/6)=1
-
Expresiones con funciones
- Coseno cos
- cos(x)^2=cos(x)
- cos^2(x)=1
- cos(4*x)=0
- cos(pi*x)=-1
- cos(x)=x^2+1
cos(x/2)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\cos{\left(\frac{x}{2} \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$\frac{x}{2} = \pi n + \operatorname{acos}{\left(1 \right)}$$
$$\frac{x}{2} = \pi n - \pi + \operatorname{acos}{\left(1 \right)}$$
O
$$\frac{x}{2} = \pi n$$
$$\frac{x}{2} = \pi n - \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\frac{1}{2}$$
obtenemos la respuesta:
$$x_{1} = 2 \pi n$$
$$x_{2} = 2 \pi n - 2 \pi$$
$$\cos{\left(\frac{x}{2} \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$\frac{x}{2} = \pi n + \operatorname{acos}{\left(1 \right)}$$
$$\frac{x}{2} = \pi n - \pi + \operatorname{acos}{\left(1 \right)}$$
O
$$\frac{x}{2} = \pi n$$
$$\frac{x}{2} = \pi n - \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\frac{1}{2}$$
obtenemos la respuesta:
$$x_{1} = 2 \pi n$$
$$x_{2} = 2 \pi n - 2 \pi$$
Suma y producto de raíces
[src]
suma
4*pi
$$4 \pi$$
=
4*pi
$$4 \pi$$
producto
0*4*pi
$$0 \cdot 4 \pi$$
=
0
$$0$$
0
Respuesta numérica
[src]
x1 = 50.2654816836948
x2 = 75.3982246787105
x3 = 8.5940846942539e-7
x4 = -50.2654829362526
x5 = -75.3982226734831
x6 = -339.292004463459
x7 = -75.3982230244771
x8 = 25.1327407976605
x9 = 87.9645950596493
x10 = 37.6991127786276
x11 = -37.6991110758133
x12 = 87.9645951697672
x13 = 62.8318520947719
x14 = -25.1327401961945
x15 = -100.530963933814
x16 = 50.2654816113039
x17 = 62.8318531970184
x18 = -37.6991125894353
x19 = -37.6991126992556
x20 = -62.8318535180004
x21 = -25.1327429452907
x22 = -50.265481935943
x23 = -75.398224618165
x24 = 100.530964758156
x25 = 7.856665190876e-7
x26 = 25.1327398318424
x27 = 12.566371289085
x28 = 100.530963999089
x29 = 37.6991111844838
x30 = 37.6991108423748
x31 = 62.8318541035118
x32 = -100.53096461474
x33 = -9.20147750307351e-7
x34 = -37.6991118772906
x35 = -50.2654831290744
x36 = 12.5663724644809
x37 = -50.2654815299205
x38 = -12.5663716390742
x39 = -87.9645943585769
x40 = -12.5663696273954
x41 = 87.9645943359415
x42 = -62.8318526379222
x43 = 75.3982231443299
x44 = 37.6991123150382
x45 = 75.3982242010893
x46 = -87.9645950762365
x47 = 37.699112034073
x48 = 12.5663716216992
x49 = -791.681347222187
x50 = 100.530964414577
x51 = 75.3982226607454
x52 = 87.9645933670472
x53 = 50.2654832362872
x54 = 25.1327402133162
x55 = -87.9645934511713
x56 = -12.5663706941362
x57 = -87.9645952061008
x58 = 25.1327427229237
x59 = 0.0
x60 = 12.5663704404135
x61 = -100.530964897478
x62 = -37.6991109019735
x63 = 50.2654833855111
x64 = 37.6991112800661
x65 = -25.1327415428233
x66 = 75.3982240185352
x67 = -62.8318542584121
x68 = -50.2654822841315
x69 = -50.2654834520414
x70 = -12.5663702980387
x71 = -7.64143136364703e-7
x72 = 100.530964589585
x73 = 12.5663701654734
x74 = 50.2654824463372
x75 = -25.1327422115415
x76 = -62.831851347466
x77 = -25.1327406696083
x78 = -75.3982240789539
x79 = -75.3982238771266
x80 = 25.1327416777796
x81 = 100.530965273463
x82 = 25.1327422523855
x83 = 87.964593548137
x84 = -2450.4422691113
x85 = 12.5663696903306
x86 = -12.5663711704395
x87 = 75.3982234996238
x88 = -25.1327409922366
x89 = 62.8318527737309
x90 = -62.8318520510992
x91 = -113.097333611656
x92 = -62.8318540899534
x93 = -87.9645934903961
x94 = 62.8318536450421
x94 = 62.8318536450421
Gráfico