Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación 6*x^2+x-7=0
-
Ecuación 2-5(3+2x)=17
-
Ecuación (6*x+8)/2+5=5*x/3
-
Ecuación 2,6x-0,75=0,9x-35,6
- Expresar {x} en función de y en la ecuación:
- -9*x-12*y=-19
- -8*x+3*y=-4
- 10*x+3*y=2
- -10*x-12*y=-10
- Derivada de:
-
sin(2x)
- Integral de d{x}:
- sin(2x)
- Gráfico de la función y =:
-
sin(2x)
-
Expresiones idénticas
- sin(2x)= cero . noventa y seis
- seno de (2x) es igual a 0.96
- seno de (2x) es igual a cero . noventa y seis
- sin2x=0.96
- sin(2x)=O.96
-
Expresiones semejantes
- 2sin^2x=3cos
- 4*sin(2*x+pi/4)+3=-1
- 5sinx-5cosx=sin2x+5
- (1+cos(2*x)-sin(2*x))/cos(x)-sin(x)=0
- 3*cos(2*x)=2*sin(2*x)
-
Expresiones con funciones
- Seno sin
- sin2x-3sinx-a=|sin2x+sinx+a|
- sin2x+4((cosx)^2)=1
- sin^2x-0.5sinx-0.5=0
- sin(cos(x))=2
- sin((3*pi)/x^2)=-1/2
sin(2x)=0.96 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(2 x \right)} = \frac{24}{25}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = 2 \pi n + \operatorname{asin}{\left(\frac{24}{25} \right)}$$
$$2 x = 2 \pi n - \operatorname{asin}{\left(\frac{24}{25} \right)} + \pi$$
O
$$2 x = 2 \pi n + \operatorname{asin}{\left(\frac{24}{25} \right)}$$
$$2 x = 2 \pi n - \operatorname{asin}{\left(\frac{24}{25} \right)} + \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \pi n + \frac{\operatorname{asin}{\left(\frac{24}{25} \right)}}{2}$$
$$x_{2} = \pi n - \frac{\operatorname{asin}{\left(\frac{24}{25} \right)}}{2} + \frac{\pi}{2}$$
$$\sin{\left(2 x \right)} = \frac{24}{25}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = 2 \pi n + \operatorname{asin}{\left(\frac{24}{25} \right)}$$
$$2 x = 2 \pi n - \operatorname{asin}{\left(\frac{24}{25} \right)} + \pi$$
O
$$2 x = 2 \pi n + \operatorname{asin}{\left(\frac{24}{25} \right)}$$
$$2 x = 2 \pi n - \operatorname{asin}{\left(\frac{24}{25} \right)} + \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \pi n + \frac{\operatorname{asin}{\left(\frac{24}{25} \right)}}{2}$$
$$x_{2} = \pi n - \frac{\operatorname{asin}{\left(\frac{24}{25} \right)}}{2} + \frac{\pi}{2}$$
Respuesta rápida
[src]
/24\
asin|--|
pi \25/
x1 = -- - --------
2 2
$$x_{1} = - \frac{\operatorname{asin}{\left(\frac{24}{25} \right)}}{2} + \frac{\pi}{2}$$
/24\
asin|--|
\25/
x2 = --------
2
$$x_{2} = \frac{\operatorname{asin}{\left(\frac{24}{25} \right)}}{2}$$
x2 = asin(24/25)/2
Suma y producto de raíces
[src]
suma
/24\ /24\
asin|--| asin|--|
pi \25/ \25/
-- - -------- + --------
2 2 2
$$\frac{\operatorname{asin}{\left(\frac{24}{25} \right)}}{2} + \left(- \frac{\operatorname{asin}{\left(\frac{24}{25} \right)}}{2} + \frac{\pi}{2}\right)$$
=
pi -- 2
$$\frac{\pi}{2}$$
producto
/ /24\\ /24\ | asin|--|| asin|--| |pi \25/| \25/ |-- - --------|*-------- \2 2 / 2
$$\left(- \frac{\operatorname{asin}{\left(\frac{24}{25} \right)}}{2} + \frac{\pi}{2}\right) \frac{\operatorname{asin}{\left(\frac{24}{25} \right)}}{2}$$
=
/ /24\\ /24\
|pi - asin|--||*asin|--|
\ \25// \25/
------------------------
4
$$\frac{\left(\pi - \operatorname{asin}{\left(\frac{24}{25} \right)}\right) \operatorname{asin}{\left(\frac{24}{25} \right)}}{4}$$
(pi - asin(24/25))*asin(24/25)/4
Respuesta numérica
[src]
x1 = 82.3249101021279
x2 = -68.1877431609738
x3 = -15.0644621591557
x4 = 38.3426129518708
x5 = -87.3210931917209
x6 = 6.92668641597287
x7 = 26.06003644672
x8 = -17.9222607035371
x9 = -33.6302239714861
x10 = -55.905166655823
x11 = 13.4936658323608
x12 = 761.192717386732
x13 = 57.4759629826179
x14 = 72.9001321413585
x15 = -77.8963152309515
x16 = -46.1965945858453
x17 = -140.444374193539
x18 = 66.6169468341789
x19 = 76.0417247949483
x20 = 54.0505762198198
x21 = 7.2104805251812
x22 = 44.6257982590504
x23 = -58.7629652002045
x24 = -11.9228695055659
x25 = 70.0423335969771
x26 = 79.4671115577464
x27 = 48.0511850218485
x28 = -24.2054460107167
x29 = 0.643501108793284
x30 = -21.0638533571269
x31 = -99.8874638060801
x32 = 101.458260132875
x33 = -21.3476474663353
x34 = 4.06888787159141
x35 = -71.613129923772
x36 = 94.8912807164871
x37 = 19.493057030332
x38 = 60.3337615269994
x39 = 92.0334821721056
x40 = 63.7591482897975
x41 = -81.0379078845413
x42 = 95.1750748256954
x43 = -43.3387960414638
x44 = 22.6346496839218
x45 = 88.6080954093075
x46 = -489.444952851214
x47 = -65.3299446165924
x48 = -90.1788917361024
x49 = 51.1927776754383
x50 = 73.1839262505669
x51 = 19.7768511395404
x52 = -33.9140180806944
x53 = -14.7806680499474
x54 = -93.6042784989005
x55 = 10.0682790695627
x56 = -96.462077043282
x57 = -49.6219813486434
x58 = -52.4797798930249
x59 = -80.754113775333
x60 = -59.0467593094128
x61 = 29.2016291003098
x62 = -5.6396841983863
x63 = 41.7679997146689
x64 = 66.9007409433873
x65 = -39.9134092786657
x66 = -30.4886313178963
x67 = -27.6308327735149
x68 = 32.0594276446912
x69 = -2.21429743558818
x70 = -36.7718166250759
x71 = 35.4848144074893
x72 = -27.3470386643065
x73 = 16.3514643767422
x74 = -61.9045578537943
x75 = -83.8957064289228
x76 = -8.49748274276777
x77 = 28.9178349911014
x78 = -77.6125211217432
x79 = 50.90898356623
x80 = -74.4709284681534
x81 = 85.750296864926
x82 = -37.0556107342842
x82 = -37.0556107342842