Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
-
Ecuación x^2-14*x+33=0
-
Ecuación 5-x^2=0
- Expresar {x} en función de y en la ecuación:
- 12*x+1*y=15
- -17*x-12*y=-9
- 18*x+17*y=-14
- 14*x-10*y=-4
- Suma de la serie:
- sinx
-
0,45
- Integral de d{x}:
- sinx
- Gráfico de la función y =:
-
sinx
-
Expresiones idénticas
- sinx= cero , cuarenta y cinco
- seno de x es igual a 0,45
- seno de x es igual a cero , cuarenta y cinco
- sinx=O,45
-
Expresiones semejantes
- 3*sin(x)^(2)-5*sin(x)-2=0
- sin(x)=√2
- -cos(x)=sin(x)
- sin(x)=4/5
-
Expresiones con funciones
- sinx
- sinx=3/4
- sinx=√4
- sinx(sinx-1)=0
- sinx=-5
- sinxcos5x+sin5xcosx=0
sinx=0,45 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{9}{20}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{9}{20} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{9}{20} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{9}{20} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{9}{20} \right)} + \pi$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} = \frac{9}{20}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{9}{20} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{9}{20} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{9}{20} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{9}{20} \right)} + \pi$$
, donde n es cualquier número entero
Respuesta rápida
[src]
x1 = pi - asin(9/20)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{9}{20} \right)}$$
x2 = asin(9/20)
$$x_{2} = \operatorname{asin}{\left(\frac{9}{20} \right)}$$
x2 = asin(9/20)
Suma y producto de raíces
[src]
suma
pi - asin(9/20) + asin(9/20)
$$\operatorname{asin}{\left(\frac{9}{20} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{9}{20} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(9/20))*asin(9/20)
$$\left(\pi - \operatorname{asin}{\left(\frac{9}{20} \right)}\right) \operatorname{asin}{\left(\frac{9}{20} \right)}$$
=
(pi - asin(9/20))*asin(9/20)
$$\left(\pi - \operatorname{asin}{\left(\frac{9}{20} \right)}\right) \operatorname{asin}{\left(\frac{9}{20} \right)}$$
(pi - asin(9/20))*asin(9/20)
Respuesta numérica
[src]
x1 = -100.064199575826
x2 = 82.1481743323819
x3 = 5931.79369531658
x4 = -3.60835799263709
x5 = 46.6571244647996
x6 = -49.7987171183894
x7 = -37.2323465040302
x8 = -74.9314583471077
x9 = 38.1658771821248
x10 = 0.466765339047296
x11 = 44.4490624893044
x12 = -5.81641996813229
x13 = -18.3827905824915
x14 = -47.5906551428942
x15 = 94.7145449467411
x16 = 84.3562363078771
x17 = 100.997730253921
x18 = 90.6394216150567
x19 = 96.9226069222363
x20 = 19.3163212605861
x21 = -91.5729522931513
x22 = 52.9403097719792
x23 = -81.2146436542873
x24 = -53.8738404500738
x25 = -16.1747286069963
x26 = -43.5155318112098
x27 = 69.5818037180227
x28 = 71.789865693518
x29 = 50.732247796484
x30 = 2.6748273145425
x31 = 13.0331359534065
x32 = -79.0065816787921
x33 = 63.2986184108432
x34 = 78.0730510006975
x35 = -56.081902425569
x36 = 65.5066803863384
x37 = -68.6482730399282
x38 = -97.8561376003309
x39 = 75.8649890252023
x40 = -35.024284528535
x41 = 25.5995065677656
x42 = 8.95801262172208
x43 = -62.3650877327486
x44 = 6.74995064622688
x45 = 27.8075685432608
x46 = -30.9491611968506
x47 = -12.0996052753119
x48 = 59.2234950791588
x49 = -66.440211064433
x50 = -60.1570257572534
x51 = 40.37393915762
x52 = -22.4579139141758
x53 = 34.0907538504404
x54 = -41.3074698357146
x55 = -72.7233963716125
x56 = -28.7410992213554
x57 = -93.7810142686465
x58 = -24.665975889671
x59 = -85.2897669859717
x60 = 15.2411979289017
x61 = 31.8826918749452
x62 = 79331.9644537885
x63 = 21.5243832360813
x64 = -9.89154329981668
x65 = -87.4978289614669
x66 = 88.4313596395615
x67 = 57.0154331036636
x67 = 57.0154331036636