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- La ecuación:
-
Ecuación k^2-2*k+5=0
-
Ecuación x^2-7x-18=0
-
Ecuación k^2-4*k+13=0
-
Ecuación x^2-12x+20=0
- Expresar {x} en función de y en la ecuación:
- 4*x+16*y=6
- 10*x+9*y=-4
- 18*x-20*y=-7
- -1*x-20*y=-17
- Límite de la función:
-
sin(x)
- Integral de d{x}:
- sin(x)
- Forma canónica:
- sin(x)
-
Expresiones idénticas
- sin(x)=(uno -sqrt(cinco))/ dos
- seno de (x) es igual a (1 menos raíz cuadrada de (5)) dividir por 2
- seno de (x) es igual a (uno menos raíz cuadrada de (cinco)) dividir por dos
- sin(x)=(1-√(5))/2
- sinx=1-sqrt5/2
- sin(x)=(1-sqrt(5)) dividir por 2
-
Expresiones semejantes
- sin(x)=(1+sqrt(5))/2
- Sin^2x-sinx=0
- cos(2x)=(-1-sqrt(5))/2
- sinx+cosx=0
- sinx=(1-sqrt(5))/2
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Expresiones con funciones
- Seno sin
- sinx+cosx=0
- Sin^2x-sinx=0
- sin(5x)=-1/2
- sin(2x)-cos(2x)=3/4
- sin(x)=sqrt(2)/2
- Raíz cuadrada sqrt
- sqrt(2+log2(x))=log2(x)
- sqrt((3x+2)/(2x-3))+sqrt((2x-3)/(3x+2))=2,5
- sqrt(3x-1)=16
- sqrt(x^2-6x+9)=-sqrt(x)+3
- sqrt(484-44x+x^2)+20=9sqrt(22-x)
sin(x)=(1-sqrt(5))/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___
1 - \/ 5
sin(x) = ---------
2
$$\sin{\left(x \right)} = \frac{1 - \sqrt{5}}{2}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{1 - \sqrt{5}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)} + \pi$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} = \frac{1 - \sqrt{5}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)} + \pi$$
, donde n es cualquier número entero
Suma y producto de raíces
[src]
suma
/ ___\ / ___\
|1 \/ 5 | |1 \/ 5 |
pi - asin|- - -----| + asin|- - -----|
\2 2 / \2 2 /
$$\operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)}\right)$$
=
pi
$$\pi$$
producto
/ / ___\\ / ___\ | |1 \/ 5 || |1 \/ 5 | |pi - asin|- - -----||*asin|- - -----| \ \2 2 // \2 2 /
$$\left(\pi - \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)}\right) \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)}$$
=
/ / ___\\ / ___\ | |1 \/ 5 || |1 \/ 5 | |pi - asin|- - -----||*asin|- - -----| \ \2 2 // \2 2 /
$$\left(\pi - \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)}\right) \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)}$$
(pi - asin(1/2 - sqrt(5)/2))*asin(1/2 - sqrt(5)/2)
Respuesta rápida
[src]
/ ___\
|1 \/ 5 |
x1 = pi - asin|- - -----|
\2 2 /
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)}$$
/ ___\
|1 \/ 5 |
x2 = asin|- - -----|
\2 2 /
$$x_{2} = \operatorname{asin}{\left(\frac{1}{2} - \frac{\sqrt{5}}{2} \right)}$$
x2 = asin(1/2 - sqrt(5)/2)
Respuesta numérica
[src]
x1 = 81.0151695608421
x2 = 22.6573880076211
x3 = -76.0644631186476
x4 = -94.9140190401863
x5 = -82.3476484258271
x6 = -65.3072062928931
x7 = -101.197204347366
x8 = 49.5992430249442
x9 = -71.5903916000727
x10 = -40.1744650641748
x11 = -44.6485365827496
x12 = -25.7989806612109
x13 = -84.1567622144319
x14 = 68.4487989464829
x15 = 54.073314543519
x16 = 135.754723536854
x17 = -13.2326100468517
x18 = -182.878613340701
x19 = -0.666239432492515
x20 = 47.7901292363394
x21 = 18.1833164890462
x22 = 37.032872410585
x23 = 6544.60373686003
x24 = -90.4399475216115
x25 = 66.6396851578782
x26 = 3.80783208608231
x27 = -209.820468358024
x28 = 28.9405733148007
x29 = 10.0910173932619
x30 = -96.7231328287911
x31 = -2.47535322109728
x32 = -6.9494247396721
x33 = 93.5815401752013
x34 = 98.0556116937761
x35 = 62.1656136393034
x36 = 74.7319842536625
x37 = -88.6308337330067
x38 = 87.2983548680217
x39 = -77.8735769072523
x40 = 41.5069439291598
x41 = -8.75853852827686
x42 = 55.8824283321238
x43 = -69.781277811468
x44 = -52.740835678534
x45 = 72.9228704650578
x46 = -63.4980925042884
x47 = -15.0417238354565
x48 = 16.3742027004415
x49 = -46.4576503713544
x50 = -107.480389654545
x51 = -27.6080944498156
x52 = 99.8647254823809
x53 = -19.5157953540313
x54 = -33.8912797569952
x55 = 11.9001311818667
x56 = 85.4892410794169
x57 = -38.36535127557
x58 = -32.0821659683904
x59 = 60.3564998506986
x60 = -57.2149071971088
x61 = 79.2060557722373
x62 = 24.4665017962258
x63 = 35.2237586219802
x64 = 91.7724263865965
x65 = 43.3160577177646
x66 = 326.059396540846
x67 = -50.9317218899292
x68 = -59.0240209857136
x69 = 5.61694587468707
x70 = -21.324909142636
x71 = 30.7496871034054
x71 = 30.7496871034054