Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x^2+5x=36
-
Ecuación 3*x=8
-
Ecuación (x-87)-27=36
- Ecuación (x^2-16)^2+(x^2+x-20)^2=0
- Expresar {x} en función de y en la ecuación:
- -17*x+2*y=9
- 10*x-15*y=16
- -17*x+2*y=-4
- -2*x-19*y=3
- Derivada de:
-
sin2x
- Integral de d{x}:
- sin2x
- Gráfico de la función y =:
-
sin2x
-
Expresiones idénticas
- sin dos x=-(sqrt3/2)
- seno de 2x es igual a menos ( raíz cuadrada de 3 dividir por 2)
- seno de dos x es igual a menos ( raíz cuadrada de 3 dividir por 2)
- sin2x=-(√3/2)
- sin2x=-sqrt3/2
- sin2x=-(sqrt3 dividir por 2)
-
Expresiones semejantes
- sin(2*x-pi/3)=0
- sin^2(x)=1
- sin2(x)=-1
- sin2x=+(sqrt3/2)
- sin(3*x-pi/4)=-sqrt(3)/2
- sqrt(((2-sqrt(3))/2)*(1+cos(x)))+sin(x)=1
- sin(2*x-pi*1/4)=1/2
- cos(x-pi/6)=(-sqrt(3))/2
- cos(x)=-sqrt(3)/2
- sin(2x)=-1
sin2x=-(sqrt3/2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___
-\/ 3
sin(2*x) = -------
2
$$\sin{\left(2 x \right)} = - \frac{\sqrt{3}}{2}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(2 x \right)} = - \frac{\sqrt{3}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{3}}{2} \right)}$$
$$2 x = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{3}}{2} \right)} + \pi$$
O
$$2 x = 2 \pi n - \frac{\pi}{3}$$
$$2 x = 2 \pi n + \frac{4 \pi}{3}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \pi n - \frac{\pi}{6}$$
$$x_{2} = \pi n + \frac{2 \pi}{3}$$
$$\sin{\left(2 x \right)} = - \frac{\sqrt{3}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{3}}{2} \right)}$$
$$2 x = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{3}}{2} \right)} + \pi$$
O
$$2 x = 2 \pi n - \frac{\pi}{3}$$
$$2 x = 2 \pi n + \frac{4 \pi}{3}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \pi n - \frac{\pi}{6}$$
$$x_{2} = \pi n + \frac{2 \pi}{3}$$
Respuesta rápida
[src]
-pi
x1 = ----
6
$$x_{1} = - \frac{\pi}{6}$$
2*pi
x2 = ----
3
$$x_{2} = \frac{2 \pi}{3}$$
x2 = 2*pi/3
Suma y producto de raíces
[src]
suma
pi 2*pi - -- + ---- 6 3
$$- \frac{\pi}{6} + \frac{2 \pi}{3}$$
=
pi -- 2
$$\frac{\pi}{2}$$
producto
-pi 2*pi ----*---- 6 3
$$- \frac{\pi}{6} \frac{2 \pi}{3}$$
=
2 -pi ----- 9
$$- \frac{\pi^{2}}{9}$$
-pi^2/9
Respuesta numérica
[src]
x1 = -23.0383461263252
x2 = 74.3510261349584
x3 = 62.3082542961976
x4 = -69.6386371545737
x5 = -41.8879020478639
x6 = 21.4675497995303
x7 = 12.0427718387609
x8 = -38.2227106186758
x9 = -89.0117918517108
x10 = 52.3598775598299
x11 = -0.523598775598299
x12 = -88.4881930761125
x13 = -73.3038285837618
x14 = -47.6474885794452
x15 = 20.943951023932
x16 = 71.733032256967
x17 = -67.0206432765823
x18 = 93.7241808320955
x19 = -16.7551608191456
x20 = 34.0339204138894
x21 = -13.6135681655558
x22 = -31.9395253114962
x23 = -45.0294947014537
x24 = -44.5058959258554
x25 = -85.870199198121
x26 = 39900.3210956928
x27 = -35.6047167406843
x28 = -16.2315620435473
x29 = 5.75958653158129
x30 = 46.0766922526503
x31 = 87.4409955249159
x32 = 43.4586983746588
x33 = -6.80678408277789
x34 = -50.789081233035
x35 = 80.634211442138
x36 = -79.5870138909414
x37 = 86.9173967493176
x38 = 96.342174710087
x39 = -82.2050077689329
x40 = -25.6563400043166
x41 = -60.7374579694027
x42 = 36.6519142918809
x43 = -60.2138591938044
x44 = -72.7802298081635
x45 = 14.6607657167524
x46 = 68.5914396033772
x47 = -91.6297857297023
x48 = 15.1843644923507
x49 = -19.8967534727354
x50 = 8.37758040957278
x51 = -22.5147473507269
x52 = 27.7507351067098
x53 = 56.025068989018
x54 = 8.90117918517108
x55 = -29.3215314335047
x56 = 64.9262481741891
x57 = 78.0162175641465
x58 = 18.3259571459405
x59 = -9.94837673636768
x60 = 2.0943951023932
x61 = -95.2949771588904
x62 = 71.2094334813686
x63 = -51.3126800086333
x64 = 49.7418836818384
x65 = -242.426233102012
x66 = 24.0855436775217
x67 = -7.33038285837618
x68 = 40.317105721069
x69 = -97.9129710368819
x70 = 42.9350995990605
x71 = -1.0471975511966
x72 = 100.007366139275
x73 = -53.9306738866248
x74 = -28.7979326579064
x75 = 30.3687289847013
x76 = -261.799387799149
x77 = -3.66519142918809
x78 = -1257.16066021152
x79 = 37.1755130674792
x80 = 65.4498469497874
x81 = 84.2994028713261
x82 = 58.6430628670095
x83 = -66.497044500984
x84 = -57.5958653158129
x85 = -63.8790506229925
x86 = -4.18879020478639
x87 = 68.0678408277789
x88 = -94.7713783832921
x89 = 90.0589894029074
x90 = -75.9218224617533
x91 = 124.616508592395
x91 = 124.616508592395