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- La ecuación:
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Ecuación x^4+2*x^2-8=0
-
Ecuación x*(x^2+8*x+16)=5*(x+4)
-
Ecuación -25-x=-17
-
Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
-
Expresiones idénticas
- \sin(x)=-sqrt(tres)/ dos
- \ seno de (x) es igual a menos raíz cuadrada de (3) dividir por 2
- \ seno de (x) es igual a menos raíz cuadrada de (tres) dividir por dos
- \sin(x)=-√(3)/2
- \sinx=-sqrt3/2
- \sin(x)=-sqrt(3) dividir por 2
-
Expresiones semejantes
- sin(x)+sqrt(((2-sqrt(3))/2)(cos(x)+1))=0
- \sin(x)=+sqrt(3)/2
- cos(x)=-sqrt3/2
- sin(x-1)=0
- sin(x)+sqrt((2-sqrt3)/2*(cos(x)+1))=0
- \sinx=-sqrt(3)/2
-
Expresiones con funciones
- Seno sin
- sin(x)=1,5
- sin(x-1)=0
- sin2x=1
- sin(3*x)=-1/2
- sin(3*x)=-1
- Raíz cuadrada sqrt
- sqrt(2*x+3)=x
- sqrt(-72+17*x)=x
- sqrt(6+x-x^2)=1-x
- sqrt(cos(x)-1)=0
- sqrt(x+3)=x+3
\sin(x)=-sqrt(3)/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___
-\/ 3
sin(x) = -------
2
$$\sin{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{3}}{2} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{3}}{2} \right)} + \pi$$
O
$$x = 2 \pi n - \frac{\pi}{3}$$
$$x = 2 \pi n + \frac{4 \pi}{3}$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{3}}{2} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{3}}{2} \right)} + \pi$$
O
$$x = 2 \pi n - \frac{\pi}{3}$$
$$x = 2 \pi n + \frac{4 \pi}{3}$$
, donde n es cualquier número entero
Suma y producto de raíces
[src]
suma
pi 4*pi - -- + ---- 3 3
$$- \frac{\pi}{3} + \frac{4 \pi}{3}$$
=
pi
$$\pi$$
producto
-pi 4*pi ----*---- 3 3
$$- \frac{\pi}{3} \frac{4 \pi}{3}$$
=
2 -4*pi ------ 9
$$- \frac{4 \pi^{2}}{9}$$
-4*pi^2/9
Respuesta rápida
[src]
-pi
x1 = ----
3
$$x_{1} = - \frac{\pi}{3}$$
4*pi
x2 = ----
3
$$x_{2} = \frac{4 \pi}{3}$$
x2 = 4*pi/3
Respuesta numérica
[src]
x1 = -96.342174710087
x2 = -89.0117918517108
x3 = 98.4365698124802
x4 = -46.0766922526503
x5 = -13.6135681655558
x6 = 85.870199198121
x7 = -71.2094334813686
x8 = 36.6519142918809
x9 = 35.6047167406843
x10 = 79.5870138909414
x11 = 86.9173967493176
x12 = -83.7758040957278
x13 = 30.3687289847013
x14 = 61.7846555205993
x15 = 68.0678408277789
x16 = -33.5103216382911
x17 = -5606.69568910658
x18 = 17.8023583703422
x19 = 4.18879020478639
x20 = 92.1533845053006
x21 = -14.6607657167524
x22 = 67.0206432765823
x23 = -57.5958653158129
x24 = -63.8790506229925
x25 = -20.943951023932
x26 = 60.7374579694027
x27 = 48.1710873550435
x28 = -1559.27715373173
x29 = 24.0855436775217
x30 = -76.4454212373516
x31 = -7.33038285837618
x32 = -45.0294947014537
x33 = 16.7551608191456
x34 = -77.4926187885482
x35 = 73.3038285837618
x36 = -114.144533080429
x37 = 55.5014702134197
x38 = -11851.1346868919
x39 = -51.3126800086333
x40 = 99.4837673636768
x41 = -1.0471975511966
x42 = 10.471975511966
x43 = -2.0943951023932
x44 = -52.3598775598299
x45 = -32.4631240870945
x46 = -90.0589894029074
x47 = -27.2271363311115
x48 = -64.9262481741891
x49 = 49.2182849062401
x50 = 42.9350995990605
x51 = 11.5191730631626
x52 = 74.3510261349584
x53 = 54.4542726622231
x54 = -95.2949771588904
x55 = 41.8879020478639
x56 = 393.746279249921
x57 = -26.1799387799149
x58 = 23.0383461263252
x59 = 93.2005820564972
x60 = -38.7463093942741
x61 = 29.3215314335047
x62 = -58.6430628670095
x63 = -151.843644923507
x64 = -101.57816246607
x65 = 80.634211442138
x66 = -8.37758040957278
x67 = -19.8967534727354
x68 = -39.7935069454707
x69 = 5.23598775598299
x70 = -70.162235930172
x71 = -82.7286065445312
x71 = -82.7286065445312