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- La ecuación:
- Ecuación x^2-49=0
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Ecuación 1-x/2=x/3
-
Ecuación 3*x^2-9=0
-
Ecuación -8x-17=3x-105
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- -19*x+14*y=20
- 5*x-14*y=-15
-
Expresiones idénticas
- sin(tres *t)= uno
- seno de (3 multiplicar por t) es igual a 1
- seno de (tres multiplicar por t) es igual a uno
- sin(3t)=1
- sin3t=1
-
Expresiones semejantes
- |sin3t|=1:2
- sin(3t)+cos(3t)
-
Expresiones con funciones
- Seno sin
- sin(2x)=0
- sin(x)=a
- sin(x)^2=1/2
- sin(3*x)+sin(x)=0
- sin((pi*x)/4)=-1
sin(3*t)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(3 t \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$3 t = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$3 t = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$3 t = 2 \pi n + \frac{\pi}{2}$$
$$3 t = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$t_{1} = \frac{2 \pi n}{3} + \frac{\pi}{6}$$
$$t_{2} = \frac{2 \pi n}{3} + \frac{\pi}{6}$$
$$\sin{\left(3 t \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$3 t = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$3 t = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$3 t = 2 \pi n + \frac{\pi}{2}$$
$$3 t = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$t_{1} = \frac{2 \pi n}{3} + \frac{\pi}{6}$$
$$t_{2} = \frac{2 \pi n}{3} + \frac{\pi}{6}$$
Suma y producto de raíces
[src]
suma
pi -- 6
$$\frac{\pi}{6}$$
=
pi -- 6
$$\frac{\pi}{6}$$
producto
pi -- 6
$$\frac{\pi}{6}$$
=
pi -- 6
$$\frac{\pi}{6}$$
pi/6
Respuesta numérica
[src]
t1 = -39.2699083292704
t2 = -87.4409956689738
t3 = 67.5442422190054
t4 = 75.9218225274375
t5 = -95.8185758682622
t6 = -3.66519119284134
t7 = 8.90117917814493
t8 = 46.6002908748595
t9 = 80.1106131528868
t10 = 29.845130315527
t11 = -45.5530935835137
t12 = -26.7035377567181
t13 = 88.4881929539175
t14 = -43.458698513903
t15 = 71.733032403968
t16 = -66.4970443416682
t17 = 52.8834762893477
t18 = -3.66519148254904
t19 = -20.4203520794005
t20 = -28.7979326032841
t21 = 69.6386373203027
t22 = 38.2227106406479
t23 = -58.1194640021532
t24 = -81.1578103224548
t25 = 65.4498470876666
t26 = -70.6858348165339
t27 = -47.6474886422567
t28 = -85.3466005833809
t29 = 48.6946859683928
t30 = 2.61799372149593
t31 = -64.4026492298162
t32 = 94.7713782337162
t33 = -18.3259569854581
t34 = 86.3937978904858
t35 = -56.0250689629876
t36 = -24.6091423681141
t37 = -62.308254139164
t38 = -89.5353907407704
t39 = -37.1755131881972
t40 = 50.789081090574
t41 = -66.4970445282258
t42 = -14.1371668430111
t43 = -68.5914394976747
t44 = 84.2994028383437
t45 = 23.5619450702353
t46 = -79.0634150011636
t47 = 27.7507352485908
t48 = -100.007366130834
t49 = 61.2610563291673
t50 = 21.4675499464553
t51 = -16.2315619072654
t52 = 63.3554518703442
t53 = 54.977871797926
t54 = 25.6563401677065
t55 = -7.85398150192478
t56 = -91.6297858015358
t57 = -9.94837684428868
t58 = 78.0162175420896
t59 = 17.2787592807644
t60 = 19.3731547552869
t61 = 40.31710567763
t62 = -53.9306741017977
t63 = -35.081117920222
t64 = 31.9395253654771
t65 = 92.6769831186997
t66 = -49.7418836877459
t67 = 34.0339203588006
t68 = 82.2050078076434
t69 = 90.5825880287766
t70 = 96.865773409958
t71 = 98.9601688300381
t72 = -60.2138590635982
t73 = -41.3643034312689
t74 = -1.57079642588424
t75 = 44.5058957975625
t76 = -37.1755131460154
t77 = -85.3466004035061
t78 = -12.0427717978327
t79 = -93.7241808501502
t80 = -5.75958652427337
t81 = -83.252205476317
t82 = -51.8362786904677
t83 = -22.5147471967799
t84 = 6.8067839497432
t85 = 0.523598641616331
t86 = 4.71238881902407
t87 = 10.9955746928717
t88 = 73.8274274735132
t89 = 42.411500732115
t89 = 42.411500732115
Gráfico