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- La ecuación:
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Ecuación 1/(x-3)^2-3/(x-3)-4=0
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Ecuación 9*(x-5)=-x
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Ecuación 13x+10=6x-4
- Ecuación x-y=1
- Expresar {x} en función de y en la ecuación:
- 7*x-6*y=-2
- 13*x-15*y=-6
- 4*x-7*y=4
- -4*x+6*y=-7
-
Expresiones idénticas
- sin(-x)= uno
- seno de ( menos x) es igual a 1
- seno de ( menos x) es igual a uno
- sin-x=1
-
Expresiones semejantes
- sin-(x/2)=-1/2
- sin(x)=1
- sin(-x/3)=sqrt(2)/2
-
Expresiones con funciones
- Seno sin
- sin(x)=-√2/2
- sin(4*x)=1
- sin(x/2)=-1/2
- sin(x)=sqrt2/2
- sin(2x)=sqrt(2)/2
sin(-x)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(- x \right)} = 1$$
es la ecuación trigonométrica más simple
La ecuación se convierte en
$$\sin{\left(x \right)} = -1$$
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(-1 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(-1 \right)} + \pi$$
O
$$x = 2 \pi n - \frac{\pi}{2}$$
$$x = 2 \pi n + \frac{3 \pi}{2}$$
, donde n es cualquier número entero
$$\sin{\left(- x \right)} = 1$$
es la ecuación trigonométrica más simple
Dividamos ambos miembros de la ecuación en -1
La ecuación se convierte en
$$\sin{\left(x \right)} = -1$$
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(-1 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(-1 \right)} + \pi$$
O
$$x = 2 \pi n - \frac{\pi}{2}$$
$$x = 2 \pi n + \frac{3 \pi}{2}$$
, donde n es cualquier número entero
Suma y producto de raíces
[src]
suma
pi 3*pi - -- + ---- 2 2
$$- \frac{\pi}{2} + \frac{3 \pi}{2}$$
=
pi
$$\pi$$
producto
-pi 3*pi ----*---- 2 2
$$- \frac{\pi}{2} \frac{3 \pi}{2}$$
=
2 -3*pi ------ 4
$$- \frac{3 \pi^{2}}{4}$$
-3*pi^2/4
Respuesta rápida
[src]
-pi
x1 = ----
2
$$x_{1} = - \frac{\pi}{2}$$
3*pi
x2 = ----
2
$$x_{2} = \frac{3 \pi}{2}$$
x2 = 3*pi/2
Respuesta numérica
[src]
x1 = -95.8185763308148
x2 = -76.9690195738024
x3 = -58.1194639976905
x4 = 42.4115007162407
x5 = 67.5442415586719
x6 = 67.5442408278864
x7 = 17.2787591562062
x8 = -83.2522055723275
x9 = -89.5353901118113
x10 = -1.57079639503667
x11 = -58.1194645939029
x12 = 98.9601682515978
x13 = -83.2522048211133
x14 = 538.783139388541
x15 = 36.1283150875497
x16 = 23.5619444059921
x17 = -26.7035372004893
x18 = -14.1371667858125
x19 = 48.6946870830469
x20 = -45.5530929624673
x21 = 73.8274274426229
x22 = 10.9955747360645
x23 = 4.71239022926564
x24 = 10.9955739381756
x25 = 98.9601690454399
x26 = 86.3937984838325
x27 = -51.8362783335234
x28 = -64.4026491641039
x29 = -20.4203520060805
x30 = 4.71238874329685
x31 = -70.6858343571487
x32 = 23.5619437708833
x33 = 29.845130330036
x34 = -39.2699084145515
x35 = -83.2522042893833
x36 = -1.57079643188553
x37 = -45.5530935911043
x38 = 23.5619451518571
x39 = -26.7035379986821
x40 = -32.9867232184024
x41 = 36.1283159497235
x42 = 48.6946859012172
x43 = 61.2610571125526
x44 = -7.85398205280014
x45 = 54.9778710948428
x46 = -76.9690203748894
x47 = 73.8274274830848
x48 = 86.3937978309099
x49 = 92.6769830592094
x50 = 67.54424230971
x51 = 92.6769843439965
x52 = 80.1106130902139
x53 = 80.1106122287081
x54 = 29.8451297031011
x55 = -20.420353265929
x56 = -39.2699069219675
x57 = 42.4115013353669
x58 = -102.101761026058
x59 = -51.8362786893284
x60 = -7.85398119154045
x61 = -70.6858351534454
x62 = -7.85398149665124
x63 = 29.8451303231501
x64 = -89.5353906059052
x65 = -45.5530935025548
x66 = 48.6946866365921
x67 = -51.8362791922783
x68 = 61.2610563112167
x69 = -14.1371668370864
x70 = -32.9867224188086
x71 = 4.7123894841958
x72 = -39.2699076683741
x73 = -95.818575476176
x74 = -64.4026498988255
x75 = 86.3937978869933
x76 = 98.9601692809083
x77 = 36.1283157235346
x78 = -70.6858331259916
x79 = 80.1106131368654
x80 = 73.8274268520838
x81 = -58.1194639046052
x82 = 42.4115007274741
x83 = 17.2787599560783
x84 = -95.8185758680502
x85 = 92.6769837888103
x86 = 54.9778718908148
x87 = -89.535390750197
x88 = -20.4203527465087
x89 = -1.57079581340397
x90 = -14.1371674455661
x91 = 48.6946873020308
x92 = -64.4026502975618
x92 = -64.4026502975618
Gráfico