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 x^2+6=5x
- Expresar {x} en función de y en la ecuación:
- -13*x-19*y=17
- -9*x-12*y=-19
- -17*x-12*y=-9
- -8*x+3*y=-4
- Límite de la función:
-
sin(x)
- 4/5
- Integral de d{x}:
- sin(x)
- Forma canónica:
- sin(x)
- Suma de la serie:
-
4/5
-
Expresiones idénticas
- sin(x)= cuatro / cinco
- seno de (x) es igual a 4 dividir por 5
- seno de (x) es igual a cuatro dividir por cinco
- sinx=4/5
- sin(x)=4 dividir por 5
-
Expresiones semejantes
- (x+4)/5-x/3=7
- 2sinx=-1
- sinx=4/5
-
Expresiones con funciones
- Seno sin
- sin(pi*x/6)=-1
- sin(x)=-sqrt(3)/2
- sin(z)=-2
- sin(x)+cos(x)=0
- sin(x)=-2/3
sin(x)=4/5 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{4}{5}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{4}{5} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{4}{5} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{4}{5} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{4}{5} \right)} + \pi$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} = \frac{4}{5}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{4}{5} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{4}{5} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{4}{5} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{4}{5} \right)} + \pi$$
, donde n es cualquier número entero
Respuesta rápida
[src]
x1 = pi - asin(4/5)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{4}{5} \right)}$$
x2 = asin(4/5)
$$x_{2} = \operatorname{asin}{\left(\frac{4}{5} \right)}$$
x2 = asin(4/5)
Suma y producto de raíces
[src]
suma
pi - asin(4/5) + asin(4/5)
$$\operatorname{asin}{\left(\frac{4}{5} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{4}{5} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(4/5))*asin(4/5)
$$\left(\pi - \operatorname{asin}{\left(\frac{4}{5} \right)}\right) \operatorname{asin}{\left(\frac{4}{5} \right)}$$
=
(pi - asin(4/5))*asin(4/5)
$$\left(\pi - \operatorname{asin}{\left(\frac{4}{5} \right)}\right) \operatorname{asin}{\left(\frac{4}{5} \right)}$$
(pi - asin(4/5))*asin(4/5)
Respuesta numérica
[src]
x1 = 32.3432217538995
x2 = -24.2054460107167
x3 = 90.1788917361024
x4 = 57.4759629826179
x5 = 70.0423335969771
x6 = 65.046150507384
x7 = 82.6087042113362
x8 = -87.0372990825126
x9 = -74.4709284681534
x10 = 76.3255189041567
x11 = 101.458260132875
x12 = -2787.51997895215
x13 = 46.1965945858453
x14 = -16.6352584859506
x15 = 580.26734569611
x16 = 96.462077043282
x17 = 39.9134092786657
x18 = 88.8918895185158
x19 = -68.1877431609738
x20 = 58.7629652002045
x21 = -4.06888787159141
x22 = -593494.903448134
x23 = -1015.6617223275
x24 = 77.6125211217432
x25 = -61.9045578537943
x26 = -49.3381872394351
x27 = 27.3470386643065
x28 = 71.3293358145636
x29 = -30.4886313178963
x30 = -17.9222607035371
x31 = -79.4671115577464
x32 = -73.1839262505669
x33 = -10.352073178771
x34 = 26.06003644672
x35 = -48.0511850218485
x36 = 13.4936658323608
x37 = 21.0638533571269
x38 = -92.0334821721056
x39 = 14.7806680499474
x40 = 7.2104805251812
x41 = -99.6036696968718
x42 = 51.1927776754383
x43 = 2.21429743558818
x44 = 38.6264070610791
x45 = -43.0550019322555
x46 = -41.7679997146689
x47 = -93.3204843896922
x48 = 33.6302239714861
x49 = 83.8957064289228
x50 = -22.9184437931302
x51 = -5.35589008917797
x52 = -60.6175556362077
x53 = -85.750296864926
x54 = -98.3166674792852
x55 = -80.754113775333
x56 = 0.927295218001612
x57 = -564.559382428161
x58 = -11.6390753963576
x59 = 63.7591482897975
x60 = 44.9095923682587
x61 = 95.1750748256954
x62 = -29.2016291003098
x63 = -66.9007409433873
x64 = -55.6213725466147
x65 = -35.4848144074893
x66 = 52.4797798930249
x67 = 8.49748274276777
x68 = -36.7718166250759
x69 = -54.3343703290281
x70 = 19.7768511395404
x70 = 19.7768511395404
Gráfico