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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
- Integral de d{x}:
- cos(t)
- Límite de la función:
- cos(t)
- Derivada de:
-
cos(t)
-
Expresiones idénticas
- cos(t)=√ dos / dos
- coseno de (t) es igual a √2 dividir por 2
- coseno de (t) es igual a √ dos dividir por dos
- cost=√2/2
- cos(t)=√2 dividir por 2
-
Expresiones semejantes
- cost=-✓2/2
- cost/5=−1
- cost=-1
- sint-2sintcost-cost+1=0
-
Expresiones con funciones
- Coseno cos
- cos(x)=-3
- cos(0.5-y)-0.5y+2=0
- cos(7*x)+cos(x)=0
- cos(2*x-pi/4)=0
- cos(x)=-(2/5)
cos(t)=√2/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\cos{\left(t \right)} = \frac{\sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$t = \pi n + \operatorname{acos}{\left(\frac{\sqrt{2}}{2} \right)}$$
$$t = \pi n - \pi + \operatorname{acos}{\left(\frac{\sqrt{2}}{2} \right)}$$
O
$$t = \pi n + \frac{\pi}{4}$$
$$t = \pi n - \frac{3 \pi}{4}$$
, donde n es cualquier número entero
$$\cos{\left(t \right)} = \frac{\sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$t = \pi n + \operatorname{acos}{\left(\frac{\sqrt{2}}{2} \right)}$$
$$t = \pi n - \pi + \operatorname{acos}{\left(\frac{\sqrt{2}}{2} \right)}$$
O
$$t = \pi n + \frac{\pi}{4}$$
$$t = \pi n - \frac{3 \pi}{4}$$
, donde n es cualquier número entero
Respuesta rápida
[src]
pi
t1 = --
4
$$t_{1} = \frac{\pi}{4}$$
7*pi
t2 = ----
4
$$t_{2} = \frac{7 \pi}{4}$$
t2 = 7*pi/4
Suma y producto de raíces
[src]
suma
pi 7*pi -- + ---- 4 4
$$\frac{\pi}{4} + \frac{7 \pi}{4}$$
=
2*pi
$$2 \pi$$
producto
pi 7*pi --*---- 4 4
$$\frac{\pi}{4} \frac{7 \pi}{4}$$
=
2 7*pi ----- 16
$$\frac{7 \pi^{2}}{16}$$
7*pi^2/16
Respuesta numérica
[src]
t1 = -101.316363078271
t2 = 93.4623814442964
t3 = 43.1968989868597
t4 = -55.7632696012188
t5 = -19.6349540849362
t6 = 13.3517687777566
t7 = -44.7676953136546
t8 = 95.0331777710912
t9 = 11.7809724509617
t10 = 32.2013246992954
t11 = 18.0641577581413
t12 = 25.9181393921158
t13 = 51.0508806208341
t14 = 74.6128255227576
t15 = 63.6172512351933
t16 = -57.3340659280137
t17 = 88.7499924639117
t18 = -76.1836218495525
t19 = -32.2013246992954
t20 = -99.7455667514759
t21 = -18.0641577581413
t22 = 30.6305283725005
t23 = -82.4668071567321
t24 = -38.484510006475
t25 = -351.072979038659
t26 = 82.4668071567321
t27 = 38.484510006475
t28 = -62.0464549083984
t29 = -36.9137136796801
t30 = 68.329640215578
t31 = -13.3517687777566
t32 = -88.7499924639117
t33 = 76.1836218495525
t34 = 80.8960108299372
t35 = -51.0508806208341
t36 = -11.7809724509617
t37 = -182.997772071605
t38 = 7.06858347057703
t39 = -68.329640215578
t40 = 57.3340659280137
t41 = 0.785398163397448
t42 = -24.3473430653209
t43 = 36.9137136796801
t44 = -74.6128255227576
t45 = -162.577419823272
t46 = -69.9004365423729
t47 = -7.06858347057703
t48 = 19.6349540849362
t49 = 49.4800842940392
t50 = 62.0464549083984
t51 = 69.9004365423729
t52 = -25.9181393921158
t53 = 44.7676953136546
t54 = -30.6305283725005
t55 = 87.1791961371168
t56 = -0.785398163397448
t57 = 24.3473430653209
t58 = -49.4800842940392
t59 = 5.49778714378214
t60 = -5.49778714378214
t61 = -43.1968989868597
t62 = -63.6172512351933
t63 = 99.7455667514759
t64 = -80.8960108299372
t65 = 55.7632696012188
t66 = -93.4623814442964
t67 = -95.0331777710912
t68 = -87.1791961371168
t68 = -87.1791961371168