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cos(t/9)=-1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /t\     
cos|-| = -1
   \9/     
$$\cos{\left(\frac{t}{9} \right)} = -1$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(\frac{t}{9} \right)} = -1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$\frac{t}{9} = \pi n + \operatorname{acos}{\left(-1 \right)}$$
$$\frac{t}{9} = \pi n - \pi + \operatorname{acos}{\left(-1 \right)}$$
O
$$\frac{t}{9} = \pi n + \pi$$
$$\frac{t}{9} = \pi n$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\frac{1}{9}$$
obtenemos la respuesta:
$$t_{1} = 9 \pi n + 9 \pi$$
$$t_{2} = 9 \pi n$$
Gráfica
Suma y producto de raíces [src]
suma
9*pi
$$9 \pi$$
=
9*pi
$$9 \pi$$
producto
9*pi
$$9 \pi$$
=
9*pi
$$9 \pi$$
9*pi
Respuesta rápida [src]
t1 = 9*pi
$$t_{1} = 9 \pi$$
t1 = 9*pi
Respuesta numérica [src]
t1 = -84.8230015620127
t2 = -28.2743244393303
t3 = 28.274338435343
t4 = -84.8229979809901
t5 = 28.2743378457644
t6 = 84.8230094379697
t7 = -84.8229970158338
t8 = 84.8230009536101
t9 = 84.8230047653464
t10 = 28.2743329181609
t11 = 84.8229980777778
t12 = -28.2743294244728
t13 = -84.8230021094102
t14 = -28.2743310978195
t15 = -84.8229994399868
t16 = 28.2743382637136
t17 = 84.8230004361691
t18 = 84.8230054187347
t19 = 84.8230062279496
t20 = -28.2743292434126
t21 = -28.2743319046916
t22 = -84.8230002987033
t23 = 28.2743383693941
t24 = 28.2743338651726
t25 = -28.274332567917
t26 = 84.8230039988447
t27 = 84.8229995685748
t28 = -28.2743354915365
t29 = 28.2743347376362
t30 = -84.8230030151146
t31 = -28.274339777417
t32 = -84.8229971027767
t33 = -28.2743294108294
t34 = 84.8230059222781
t35 = 84.8229972620779
t36 = 28.2743300805649
t37 = 84.8229971449237
t38 = -84.8230062672539
t39 = -28.2743370851987
t40 = -28.2743384786006
t41 = 84.8230133302236
t42 = 84.8229970158031
t43 = 28.2743360993878
t44 = 28.2743371926722
t45 = 28.2743312171058
t46 = 84.8229987720126
t47 = -28.2743302346196
t48 = -84.82301110703
t49 = -84.8229986568907
t50 = -28.2743364292376
t51 = 84.8229975208727
t52 = 28.2743292565571
t53 = -84.8229974478895
t54 = -28.2743318847664
t55 = -28.2743345970395
t56 = 28.2743364538745
t57 = -28.2743298129891
t58 = 84.822998213206
t59 = 28.2743385035735
t60 = -28.2743377221286
t61 = 84.8230062578477
t62 = -28.2743384609725
t63 = -84.8230038722992
t64 = 350403.819800956
t65 = -84.8229973288789
t66 = -28.2743379604922
t67 = 28.2743356255459
t68 = 28.2743308477367
t69 = 28.2743304915216
t70 = -28.2743327790057
t71 = 28.27433780891
t72 = 28.2743321226647
t73 = -84.8229984183414
t74 = -28.274338203618
t75 = 28.2743320361609
t76 = -84.8230053257351
t77 = 84.8230031513295
t78 = 84.8230022514225
t79 = -28.274336330782
t80 = 28.2743293800044
t81 = 28.2743294622997
t82 = 28.2743298931087
t83 = 84.823015508603
t84 = -28.2743303891955
t85 = -84.82300585417
t86 = -84.82300619224
t87 = -84.8230067803298
t88 = -84.8230046531045
t89 = -28.2743337037926
t90 = 84.8230013495227
t91 = -84.8230012061093
t91 = -84.8230012061093