Sr Examen

sina=-3/10 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
sin(a) = -3/10
$$\sin{\left(a \right)} = - \frac{3}{10}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(a \right)} = - \frac{3}{10}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$a = 2 \pi n + \operatorname{asin}{\left(- \frac{3}{10} \right)}$$
$$a = 2 \pi n - \operatorname{asin}{\left(- \frac{3}{10} \right)} + \pi$$
O
$$a = 2 \pi n - \operatorname{asin}{\left(\frac{3}{10} \right)}$$
$$a = 2 \pi n + \operatorname{asin}{\left(\frac{3}{10} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
pi + asin(3/10) - asin(3/10)
$$- \operatorname{asin}{\left(\frac{3}{10} \right)} + \left(\operatorname{asin}{\left(\frac{3}{10} \right)} + \pi\right)$$
=
pi
$$\pi$$
producto
(pi + asin(3/10))*(-asin(3/10))
$$\left(\operatorname{asin}{\left(\frac{3}{10} \right)} + \pi\right) \left(- \operatorname{asin}{\left(\frac{3}{10} \right)}\right)$$
=
-(pi + asin(3/10))*asin(3/10)
$$- \left(\operatorname{asin}{\left(\frac{3}{10} \right)} + \pi\right) \operatorname{asin}{\left(\frac{3}{10} \right)}$$
-(pi + asin(3/10))*asin(3/10)
Respuesta rápida [src]
a1 = pi + asin(3/10)
$$a_{1} = \operatorname{asin}{\left(\frac{3}{10} \right)} + \pi$$
a2 = -asin(3/10)
$$a_{2} = - \operatorname{asin}{\left(\frac{3}{10} \right)}$$
a2 = -asin(3/10)
Respuesta numérica [src]
a1 = 68.8103457249601
a2 = -0.304692654015398
a3 = -97.0846796072682
a4 = 41.1453971506827
a5 = 826.543560548131
a6 = 47.4285824578623
a7 = 85.1276943009398
a8 = -6.58787796119498
a9 = 12.2616779603438
a10 = 24.8280485747029
a11 = 78.8445089937602
a12 = -75.7029163401704
a13 = -31.7206191899133
a14 = 91.4108796081194
a15 = 49.9607898034213
a16 = -78.2351236857294
a17 = 81.3767163393192
a18 = -81.98610164735
a19 = 28.5790265363235
a20 = 100.226272260858
a21 = -46.8191971498315
a22 = 56.2439751106009
a23 = -65.6687530713703
a24 = -27.9696412282927
a25 = 34.8622118435031
a26 = -40.5360118426519
a27 = 3.44628530760519
a28 = 53.7117677650419
a29 = 5.97849265316419
a30 = -53.1023824570111
a31 = -50.5701751114521
a32 = -38.0038044970929
a33 = 87.6599016464988
a34 = -19.1542485755542
a35 = -4225.13742642426
a36 = -15.4032706139336
a37 = 93.9430869536784
a38 = 66.2781383794011
a39 = 9.72947061478478
a40 = 31.1112338818825
a41 = -90.8014943000886
a42 = -34.2528265354723
a43 = 18.5448632675234
a44 = 37.3944191890621
a45 = -25.4374338827337
a46 = -71.9519383785498
a47 = 97.694064915299
a48 = 75.0935310321396
a49 = -69.4197310329909
a50 = 62.5271604177805
a51 = 16.0126559219644
a52 = -9.12008530675398
a53 = -63.1365457258113
a54 = -44.2869898042725
a55 = -84.518308992909
a56 = -12.8710632683746
a57 = -59.3855677641907
a58 = -56.8533604186317
a59 = -100.835657568889
a60 = -647.472779293513
a61 = -94.5524722617092
a62 = 72.5613236865806
a63 = -21.6864559211132
a64 = -2.8368999995744
a65 = 22.2958412291439
a66 = -88.2692869545296
a67 = 43.6776044962417
a68 = 59.9949530722215
a68 = 59.9949530722215