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- La ecuación:
-
Ecuación x^3-x^2-x-1=0
-
Ecuación 12-4(x-3)=39-9x
-
Ecuación 0,2x+2,7=1,4-1,1x
-
Ecuación x^2=2x+8
- Expresar {x} en función de y en la ecuación:
- -11*x-14*y=-3
- -9*x-1*y=6
- -2*x+2*y=4
- -11*x-3*y=14
- Derivada de:
-
sin(t)
- Integral de d{x}:
- sin(t)
-
Expresiones idénticas
- sin(t)=-(uno / dos)*sqrt(dos)
- seno de (t) es igual a menos (1 dividir por 2) multiplicar por raíz cuadrada de (2)
- seno de (t) es igual a menos (uno dividir por dos) multiplicar por raíz cuadrada de (dos)
- sin(t)=-(1/2)*√(2)
- sin(t)=-(1/2)sqrt(2)
- sint=-1/2sqrt2
- sin(t)=-(1 dividir por 2)*sqrt(2)
-
Expresiones semejantes
- sin(t)=+(1/2)*sqrt(2)
- sint-2sintcost-cost+1=0
-
Expresiones con funciones
- Seno sin
- sin(x)=1/3
- sin(6*x)=9/8
- sin(2x)=-1/2
- sin(3*x)-cos(3*x)=0
- sin(x)^(2)-sin(x)=0
- Raíz cuadrada sqrt
- sqrt(12+x)-sqrt(1-x)=1
- sqrt(x-1)+3=x
- sqrt(x^2-4)=4-2x
- sqrt(x^2-x-3)=3
- sqrt-x=x+6
sin(t)=-(1/2)*sqrt(2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(t \right)} = - \frac{\sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$t = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{2}}{2} \right)}$$
$$t = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{2}}{2} \right)} + \pi$$
O
$$t = 2 \pi n - \frac{\pi}{4}$$
$$t = 2 \pi n + \frac{5 \pi}{4}$$
, donde n es cualquier número entero
$$\sin{\left(t \right)} = - \frac{\sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$t = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{2}}{2} \right)}$$
$$t = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{2}}{2} \right)} + \pi$$
O
$$t = 2 \pi n - \frac{\pi}{4}$$
$$t = 2 \pi n + \frac{5 \pi}{4}$$
, donde n es cualquier número entero
Respuesta rápida
[src]
-pi
t1 = ----
4
$$t_{1} = - \frac{\pi}{4}$$
5*pi
t2 = ----
4
$$t_{2} = \frac{5 \pi}{4}$$
t2 = 5*pi/4
Suma y producto de raíces
[src]
suma
pi 5*pi - -- + ---- 4 4
$$- \frac{\pi}{4} + \frac{5 \pi}{4}$$
=
pi
$$\pi$$
producto
-pi 5*pi ----*---- 4 4
$$- \frac{\pi}{4} \frac{5 \pi}{4}$$
=
2 -5*pi ------ 16
$$- \frac{5 \pi^{2}}{16}$$
-5*pi^2/16
Respuesta numérica
[src]
t1 = 73.0420291959627
t2 = -96.6039740978861
t3 = -8.63937979737193
t4 = -0.785398163397448
t5 = -71.4712328691678
t6 = -38.484510006475
t7 = 3.92699081698724
t8 = -215482.625507887
t9 = -33.7721210260903
t10 = 18.0641577581413
t11 = 24.3473430653209
t12 = -40.0553063332699
t13 = -58.9048622548086
t14 = 80.8960108299372
t15 = -101.316363078271
t16 = -84.037603483527
t17 = -704.502152567511
t18 = 99.7455667514759
t19 = -69.9004365423729
t20 = 66.7588438887831
t21 = -830.165858711103
t22 = 87.1791961371168
t23 = -19.6349540849362
t24 = 49.4800842940392
t25 = 30.6305283725005
t26 = -2865.91789823729
t27 = -27.4889357189107
t28 = -13.3517687777566
t29 = 85.6083998103219
t30 = 54.1924732744239
t31 = -128.019900633784
t32 = 98.174770424681
t33 = -82.4668071567321
t34 = -63.6172512351933
t35 = 10.2101761241668
t36 = -21.2057504117311
t37 = 36.9137136796801
t38 = 41.6261026600648
t39 = 11.7809724509617
t40 = 35.3429173528852
t41 = -88.7499924639117
t42 = -76.1836218495525
t43 = 652.665873783279
t44 = 62.0464549083984
t45 = 68.329640215578
t46 = -32.2013246992954
t47 = -90.3207887907066
t48 = -371.493331286993
t49 = 91.8915851175014
t50 = -7.06858347057703
t51 = 55.7632696012188
t52 = -2.35619449019234
t53 = -65.1880475619882
t54 = 22.776546738526
t55 = 79.3252145031423
t56 = -46.3384916404494
t57 = -95.0331777710912
t58 = 29.0597320457056
t59 = 5.49778714378214
t60 = 43.1968989868597
t61 = -57.3340659280137
t62 = -52.621676947629
t63 = -14.9225651045515
t64 = 47.9092879672443
t65 = 60.4756585816035
t66 = 16.4933614313464
t67 = -25.9181393921158
t68 = 93.4623814442964
t69 = 74.6128255227576
t70 = -51.0508806208341
t71 = -77.7544181763474
t72 = -44.7676953136546
t72 = -44.7676953136546