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- La ecuación:
-
Ecuación x^3-x^2-x-1=0
-
Ecuación 12-4(x-3)=39-9x
-
Ecuación 0,2x+2,7=1,4-1,1x
-
Ecuación x^2=2x+8
- Expresar {x} en función de y en la ecuación:
- -11*x-14*y=-3
- -9*x-1*y=6
- -2*x+2*y=4
- -11*x-3*y=14
- Derivada de:
-
siny
-
-1
- Integral de d{x}:
- siny
- Límite de la función:
-
-1
- Forma canónica:
- -1
-
Expresiones idénticas
- siny=- uno
- seno de y es igual a menos 1
- seno de y es igual a menos uno
-
Expresiones semejantes
- asin(y/x)=log(x)
- (1+sin(y/x))/(1-sin(y/x))=x^2
- z=arcsin(y/(sqrt(x^2+y^2)))
- siny=+1
- sin(y)*cos(x)=cos(y)*sin(x)
siny=-1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(y \right)} = -1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$y = 2 \pi n + \operatorname{asin}{\left(-1 \right)}$$
$$y = 2 \pi n - \operatorname{asin}{\left(-1 \right)} + \pi$$
O
$$y = 2 \pi n - \frac{\pi}{2}$$
$$y = 2 \pi n + \frac{3 \pi}{2}$$
, donde n es cualquier número entero
$$\sin{\left(y \right)} = -1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$y = 2 \pi n + \operatorname{asin}{\left(-1 \right)}$$
$$y = 2 \pi n - \operatorname{asin}{\left(-1 \right)} + \pi$$
O
$$y = 2 \pi n - \frac{\pi}{2}$$
$$y = 2 \pi n + \frac{3 \pi}{2}$$
, donde n es cualquier número entero
Respuesta rápida
[src]
-pi
y1 = ----
2
$$y_{1} = - \frac{\pi}{2}$$
3*pi
y2 = ----
2
$$y_{2} = \frac{3 \pi}{2}$$
y2 = 3*pi/2
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 numérica
[src]
y1 = 4.7123894841958
y2 = 98.9601682515978
y3 = 42.4115013353669
y4 = 73.8274268520838
y5 = 80.1106130902139
y6 = -45.5530935911043
y7 = -7.85398119154045
y8 = -39.2699084145515
y9 = 98.9601692809083
y10 = 42.4115007162407
y11 = 10.9955747360645
y12 = -58.1194639046052
y13 = -1.57079643188553
y14 = 61.2610563112167
y15 = 23.5619451518571
y16 = -14.1371674455661
y17 = 54.9778718908148
y18 = 80.1106131368654
y19 = -32.9867232184024
y20 = -39.2699069219675
y21 = 29.845130330036
y22 = 73.8274274426229
y23 = -95.8185758680502
y24 = 17.2787591562062
y25 = 67.54424230971
y26 = -70.6858331259916
y27 = -45.5530929624673
y28 = -26.7035379986821
y29 = -70.6858351534454
y30 = 17.2787599560783
y31 = -102.101761026058
y32 = 48.6946870830469
y33 = 98.9601690454399
y34 = 92.6769837888103
y35 = -26.7035372004893
y36 = -89.5353901118113
y37 = 54.9778710948428
y38 = -20.4203527465087
y39 = -51.8362791922783
y40 = 42.4115007274741
y41 = -7.85398149665124
y42 = -20.420353265929
y43 = -76.9690203748894
y44 = -1.57079581340397
y45 = -64.4026491641039
y46 = 86.3937984838325
y47 = -51.8362786893284
y48 = -45.5530935025548
y49 = -64.4026502975618
y50 = 80.1106122287081
y51 = 23.5619437708833
y52 = 86.3937978309099
y53 = 67.5442415586719
y54 = -14.1371667858125
y55 = 23.5619444059921
y56 = 36.1283157235346
y57 = 4.71239022926564
y58 = -95.8185763308148
y59 = 36.1283159497235
y60 = -76.9690195738024
y61 = -39.2699076683741
y62 = -83.2522055723275
y63 = -1.57079639503667
y64 = 36.1283150875497
y65 = -32.9867224188086
y66 = 29.8451297031011
y67 = 92.6769830592094
y68 = -83.2522048211133
y69 = -14.1371668370864
y70 = 48.6946859012172
y71 = -95.818575476176
y72 = -70.6858343571487
y73 = -58.1194645939029
y74 = -20.4203520060805
y75 = 10.9955739381756
y76 = 92.6769843439965
y77 = -58.1194639976905
y78 = 4.71238874329685
y79 = 538.783139388541
y80 = 86.3937978869933
y81 = 67.5442408278864
y82 = -89.535390750197
y83 = -83.2522042893833
y84 = -7.85398205280014
y85 = -89.5353906059052
y86 = 48.6946873020308
y87 = -64.4026498988255
y88 = 61.2610571125526
y89 = -51.8362783335234
y90 = 48.6946866365921
y91 = 73.8274274830848
y92 = 29.8451303231501
y92 = 29.8451303231501