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Expresiones idénticas
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Expresiones semejantes
- sin-1=0
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Expresiones con funciones
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sin+1=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} + 1 = 0$$
es la ecuación trigonométrica más simple
Obtenemos:
$$\sin{\left(x \right)} = -1$$
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
$$\sin{\left(x \right)} + 1 = 0$$
es la ecuación trigonométrica más simple
Transportemos 1 al miembro derecho de la ecuación
cambiando el signo de 1
Obtenemos:
$$\sin{\left(x \right)} = -1$$
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
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
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]
x1 = -7.85398149665124
x2 = -64.4026491641039
x3 = 86.3937978309099
x4 = 36.1283159497235
x5 = -76.9690203748894
x6 = -58.1194639046052
x7 = -39.2699084145515
x8 = -32.9867224188086
x9 = -95.8185763308148
x10 = -7.85398119154045
x11 = 42.4115007274741
x12 = -89.5353906059052
x13 = 92.6769830592094
x14 = 48.6946873020308
x15 = 67.5442408278864
x16 = -64.4026502975618
x17 = 73.8274274426229
x18 = -45.5530935025548
x19 = 42.4115013353669
x20 = 98.9601692809083
x21 = -83.2522055723275
x22 = 67.54424230971
x23 = 23.5619437708833
x24 = 23.5619444059921
x25 = -20.4203520060805
x26 = 98.9601682515978
x27 = -45.5530935911043
x28 = 86.3937984838325
x29 = 80.1106131368654
x30 = 61.2610563112167
x31 = -70.6858343571487
x32 = 36.1283157235346
x33 = -39.2699076683741
x34 = 86.3937978869933
x35 = -26.7035379986821
x36 = 61.2610571125526
x37 = 73.8274274830848
x38 = -20.420353265929
x39 = -39.2699069219675
x40 = 29.845130330036
x41 = -45.5530929624673
x42 = -51.8362783335234
x43 = -14.1371668370864
x44 = -102.101761026058
x45 = -64.4026498988255
x46 = 17.2787591562062
x47 = 48.6946866365921
x48 = 4.7123894841958
x49 = 54.9778710948428
x50 = 54.9778718908148
x51 = -83.2522042893833
x52 = -89.5353901118113
x53 = -58.1194639976905
x54 = 73.8274268520838
x55 = 98.9601690454399
x56 = 92.6769837888103
x57 = 4.71238874329685
x58 = -32.9867232184024
x59 = -51.8362791922783
x60 = 10.9955747360645
x61 = -1.57079639503667
x62 = 48.6946870830469
x63 = 4.71239022926564
x64 = 92.6769843439965
x65 = -76.9690195738024
x66 = -20.4203527465087
x67 = 29.8451297031011
x68 = 17.2787599560783
x69 = 80.1106122287081
x70 = -14.1371667858125
x71 = 67.5442415586719
x72 = 538.783139388541
x73 = -51.8362786893284
x74 = -89.535390750197
x75 = -14.1371674455661
x76 = 23.5619451518571
x77 = -95.8185758680502
x78 = -7.85398205280014
x79 = -70.6858331259916
x80 = -58.1194645939029
x81 = 80.1106130902139
x82 = 42.4115007162407
x83 = -95.818575476176
x84 = 48.6946859012172
x85 = -1.57079643188553
x86 = 10.9955739381756
x87 = -26.7035372004893
x88 = -83.2522048211133
x89 = 36.1283150875497
x90 = -70.6858351534454
x91 = -1.57079581340397
x92 = 29.8451303231501
x92 = 29.8451303231501