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sin(t)=-2/3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
sin(t) = -2/3
$$\sin{\left(t \right)} = - \frac{2}{3}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(t \right)} = - \frac{2}{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$t = 2 \pi n + \operatorname{asin}{\left(- \frac{2}{3} \right)}$$
$$t = 2 \pi n - \operatorname{asin}{\left(- \frac{2}{3} \right)} + \pi$$
O
$$t = 2 \pi n - \operatorname{asin}{\left(\frac{2}{3} \right)}$$
$$t = 2 \pi n + \operatorname{asin}{\left(\frac{2}{3} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
t1 = pi + asin(2/3)
$$t_{1} = \operatorname{asin}{\left(\frac{2}{3} \right)} + \pi$$
t2 = -asin(2/3)
$$t_{2} = - \operatorname{asin}{\left(\frac{2}{3} \right)}$$
t2 = -asin(2/3)
Suma y producto de raíces [src]
suma
pi + asin(2/3) - asin(2/3)
$$- \operatorname{asin}{\left(\frac{2}{3} \right)} + \left(\operatorname{asin}{\left(\frac{2}{3} \right)} + \pi\right)$$
=
pi
$$\pi$$
producto
(pi + asin(2/3))*(-asin(2/3))
$$\left(\operatorname{asin}{\left(\frac{2}{3} \right)} + \pi\right) \left(- \operatorname{asin}{\left(\frac{2}{3} \right)}\right)$$
=
-(pi + asin(2/3))*asin(2/3)
$$- \left(\operatorname{asin}{\left(\frac{2}{3} \right)} + \pi\right) \operatorname{asin}{\left(\frac{2}{3} \right)}$$
-(pi + asin(2/3))*asin(2/3)
Respuesta numérica [src]
t1 = -52.6773474547995
t2 = 43.2525694940301
t3 = -32.1456541921249
t4 = 54.1368027672534
t5 = -25.8624688849453
t6 = -0.729727656226966
t7 = -836.393373511112
t8 = -8.69505030454241
t9 = -57.2783954208432
t10 = -7.01291296340655
t11 = -82.4111366495616
t12 = 60.419988074433
t13 = -1755.42056570047
t14 = 412.27836527649
t15 = 87.2348666442873
t16 = 175.199460944801
t17 = 85.5527293031514
t18 = -69.8447660352024
t19 = -2.41186499736283
t20 = -94.9775072639208
t21 = 74.6684960299281
t22 = 22.7208762313555
t23 = -101.2606925711
t24 = 35.2872468457147
t25 = -302.322622400847
t26 = 1216.52608459548
t27 = -13.2960982705861
t28 = 16.4376909241759
t29 = 11.8366429581322
t30 = 41.5704321528943
t31 = 55.8189401083893
t32 = 91.835914610331
t33 = -96.6596446050566
t34 = 66.7031733816126
t35 = 99.8012372586464
t36 = -1979.9330994178
t37 = -38.4288394993045
t38 = 30.686198879671
t39 = 3.87132030981676
t40 = -27.5446062260812
t41 = -46.3941621476199
t42 = 10.1545056169963
t43 = -84.0932739906975
t44 = -90.376459297877
t45 = -50.9952101136637
t46 = -33.8277915332608
t47 = 72.9863586887922
t48 = 79.2695439959718
t49 = -58.9605327619791
t50 = 80.9516813371077
t51 = -21.2614209189016
t52 = 5.55345765095262
t53 = 68.3853107227485
t54 = 18.1198282653118
t55 = -44.7120248064841
t56 = 29.0040615385351
t57 = -76.127951342382
t58 = 49.5357548012097
t59 = 98.1190999175106
t60 = 93.5180519514668
t61 = -14.978235611722
t62 = -65.2437180691587
t63 = -63.5615807280228
t64 = -19.5792835777657
t65 = 47.8536174600739
t66 = -107.54387787828
t67 = -77.8100886835179
t68 = 62.1021254155689
t69 = -40.1109768404403
t70 = -71.5269033763383
t71 = -88.6943219567412
t72 = 36.9693841868506
t73 = 24.4030135724914
t73 = 24.4030135724914