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- La ecuación:
-
Ecuación sin(x)=-1
-
Ecuación x^4-4*x^3-2*x^2+12*x+9=0
-
Ecuación (x-4)^2+(x+9)^2=2*x^2
-
Ecuación 4x^2-12x+9=0
- Expresar {x} en función de y en la ecuación:
- 4*x+13*y=13
- 1*x-6*y=-19
- -1*x-19*y=-10
- 18*x+19*y=7
- Límite de la función:
-
sin(x)
-
-1
- Integral de d{x}:
- sin(x)
- Forma canónica:
- sin(x)
- -1
- Derivada de:
-
-1
-
Expresiones idénticas
- sin(x)=- uno
- seno de (x) es igual a menos 1
- seno de (x) es igual a menos uno
- sinx=-1
-
Expresiones semejantes
- 2sin^2x+sinx-1=0
- sin(x)=+1
- sqrt(2)sinx+1=0
- sin(x-pi/6)=0
- sinx=-1
-
Expresiones con funciones
- Seno sin
- sin(2x)=1/2
- sin(3*x)+cos(3*x)=sqrt(2)
- sin(x-pi/6)=0
- sin(x/3)=-1/2
- sin(x)=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
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
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 = 73.8274268520838
x2 = -26.7035372004893
x3 = 67.54424230971
x4 = 23.5619444059921
x5 = 538.783139388541
x6 = -51.8362783335234
x7 = -102.101761026058
x8 = -58.1194639976905
x9 = -89.5353901118113
x10 = -70.6858351534454
x11 = 61.2610563112167
x12 = -83.2522042893833
x13 = 73.8274274426229
x14 = -39.2699084145515
x15 = 42.4115013353669
x16 = 54.9778718908148
x17 = 86.3937978309099
x18 = 61.2610571125526
x19 = -26.7035379986821
x20 = -95.8185758680502
x21 = 17.2787591562062
x22 = 42.4115007162407
x23 = 98.9601682515978
x24 = -14.1371674455661
x25 = 4.7123894841958
x26 = 92.6769837888103
x27 = -1.57079643188553
x28 = 98.9601692809083
x29 = -51.8362786893284
x30 = 10.9955739381756
x31 = -51.8362791922783
x32 = 42.4115007274741
x33 = -76.9690195738024
x34 = 17.2787599560783
x35 = 73.8274274830848
x36 = -58.1194639046052
x37 = -45.5530935025548
x38 = 48.6946870830469
x39 = 36.1283150875497
x40 = -70.6858343571487
x41 = -83.2522048211133
x42 = 67.5442408278864
x43 = -83.2522055723275
x44 = -95.818575476176
x45 = -64.4026491641039
x46 = 86.3937984838325
x47 = 29.845130330036
x48 = 48.6946873020308
x49 = 92.6769843439965
x50 = -95.8185763308148
x51 = 80.1106122287081
x52 = 36.1283157235346
x53 = 98.9601690454399
x54 = -14.1371667858125
x55 = -32.9867224188086
x56 = 29.8451303231501
x57 = -39.2699076683741
x58 = -70.6858331259916
x59 = 54.9778710948428
x60 = 80.1106130902139
x61 = -64.4026502975618
x62 = -58.1194645939029
x63 = -64.4026498988255
x64 = -20.4203527465087
x65 = 23.5619437708833
x66 = 67.5442415586719
x67 = 36.1283159497235
x68 = -39.2699069219675
x69 = -7.85398149665124
x70 = -76.9690203748894
x71 = -89.5353906059052
x72 = -14.1371668370864
x73 = 10.9955747360645
x74 = 80.1106131368654
x75 = -45.5530929624673
x76 = -7.85398119154045
x77 = 4.71238874329685
x78 = 48.6946866365921
x79 = -20.420353265929
x80 = -7.85398205280014
x81 = 29.8451297031011
x82 = -45.5530935911043
x83 = 48.6946859012172
x84 = 4.71239022926564
x85 = 23.5619451518571
x86 = -1.57079639503667
x87 = -89.535390750197
x88 = 86.3937978869933
x89 = -32.9867232184024
x90 = -20.4203520060805
x91 = -1.57079581340397
x92 = 92.6769830592094
x92 = 92.6769830592094
Gráfico