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- La ecuación:
-
Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
-
Ecuación x^2-14*x+33=0
-
Ecuación 5(x-4)=3x-10
- Expresar {x} en función de y en la ecuación:
- 12*x+1*y=15
- -17*x-12*y=-9
- 18*x+17*y=-14
- 16*x-17*y=-15
- Derivada de:
-
sin(t)
- Integral de d{x}:
- sin(t)
-
Expresiones idénticas
- sin(t)=sqrt(dos)/ dos
- seno de (t) es igual a raíz cuadrada de (2) dividir por 2
- seno de (t) es igual a raíz cuadrada de (dos) dividir por dos
- sin(t)=√(2)/2
- sint=sqrt2/2
- sin(t)=sqrt(2) dividir por 2
-
Expresiones semejantes
- tan(x)=sqrt2/2
- x*t.diff(x)=t+x*sin(t/x)
-
Expresiones con funciones
- Seno sin
- sin(pi*x/6)=-1
- sin(x)=4/5
- sin(x)+cos(x)=0
- sin(x)=1
- sin(1/2*x-pi/6)=1/2
- Raíz cuadrada sqrt
- sqrt^4(17x^2-16)=x
- sqrt(0,5+(sinx)^2)+c0s2x=1
- sqrt4(4x+5-x^2)-sqrt(4x-x^2-3)=1
- sqrt^4(x+15)+sqrt^4(1-x)=2
- sqrt(x-1)*sqrt(x+a^2)*sqrt(x-3)=0
sin(t)=sqrt(2)/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
$$t = 2 \pi n + \frac{\pi}{4}$$
$$t = 2 \pi n + \frac{3 \pi}{4}$$
, 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
$$t = 2 \pi n + \frac{\pi}{4}$$
$$t = 2 \pi n + \frac{3 \pi}{4}$$
, donde n es cualquier número entero
Respuesta rápida
[src]
pi
t1 = --
4
$$t_{1} = \frac{\pi}{4}$$
3*pi
t2 = ----
4
$$t_{2} = \frac{3 \pi}{4}$$
t2 = 3*pi/4
Suma y producto de raíces
[src]
suma
pi 3*pi -- + ---- 4 4
$$\frac{\pi}{4} + \frac{3 \pi}{4}$$
=
pi
$$\pi$$
producto
pi 3*pi --*---- 4 4
$$\frac{\pi}{4} \frac{3 \pi}{4}$$
=
2 3*pi ----- 16
$$\frac{3 \pi^{2}}{16}$$
3*pi^2/16
Respuesta numérica
[src]
t1 = 58.9048622548086
t2 = -36.9137136796801
t3 = 51.0508806208341
t4 = -66.7588438887831
t5 = -118.595122673015
t6 = -74.6128255227576
t7 = -43.1968989868597
t8 = 40.0553063332699
t9 = -47.9092879672443
t10 = -16.4933614313464
t11 = 46.3384916404494
t12 = 71.4712328691678
t13 = 19.6349540849362
t14 = 33.7721210260903
t15 = 6964.12551484517
t16 = 90.3207887907066
t17 = -22.776546738526
t18 = 44.7676953136546
t19 = 13.3517687777566
t20 = -29.0597320457056
t21 = 2.35619449019234
t22 = -73.0420291959627
t23 = -99.7455667514759
t24 = -1160.03308733803
t25 = 25.9181393921158
t26 = -98.174770424681
t27 = -10.2101761241668
t28 = 96.6039740978861
t29 = -80.8960108299372
t30 = -11.7809724509617
t31 = 14.9225651045515
t32 = -62.0464549083984
t33 = 2476.36040919215
t34 = -85.6083998103219
t35 = 76.1836218495525
t36 = 128.019900633784
t37 = 69.9004365423729
t38 = 65.1880475619882
t39 = 8.63937979737193
t40 = -68.329640215578
t41 = -55.7632696012188
t42 = -18.0641577581413
t43 = 2151.20556954561
t44 = -79.3252145031423
t45 = 82.4668071567321
t46 = 63.6172512351933
t47 = 32.2013246992954
t48 = -49.4800842940392
t49 = 7.06858347057703
t50 = 52.621676947629
t51 = -17680.09805624
t52 = -186.139364725195
t53 = 84.037603483527
t54 = 0.785398163397448
t55 = 88.7499924639117
t56 = -54.1924732744239
t57 = 21.2057504117311
t58 = -24.3473430653209
t59 = -91.8915851175014
t60 = -237.975643509427
t61 = -93.4623814442964
t62 = 57.3340659280137
t63 = -41.6261026600648
t64 = -87.1791961371168
t65 = 95.0331777710912
t66 = -5.49778714378214
t67 = -35.3429173528852
t68 = -60.4756585816035
t69 = 38.484510006475
t70 = 27.4889357189107
t71 = 77.7544181763474
t72 = -3.92699081698724
t73 = 101.316363078271
t74 = -30.6305283725005
t74 = -30.6305283725005