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- La ecuación:
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Ecuación x^3-x^2-x-1=0
-
Ecuación 3x-2(3x+4)=10
-
Ecuación 12-4(x-3)=39-9x
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Ecuación 0,2x+2,7=1,4-1,1x
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- 2*x-15*y=-1
- -18*x-6*y=-1
- 6*x+9*y=-9
-
Expresiones idénticas
- sin(ocho *x+(- siete)*pi/ dos)=sqrt(dos)/ dos
- seno de (8 multiplicar por x más ( menos 7) multiplicar por número pi dividir por 2) es igual a raíz cuadrada de (2) dividir por 2
- seno de (ocho multiplicar por x más ( menos siete) multiplicar por número pi dividir por dos) es igual a raíz cuadrada de (dos) dividir por dos
- sin(8*x+(-7)*pi/2)=√(2)/2
- sin(8x+(-7)pi/2)=sqrt(2)/2
- sin8x+-7pi/2=sqrt2/2
- sin(8*x+(-7)*pi dividir por 2)=sqrt(2) dividir por 2
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Expresiones semejantes
- sin(8*x-(-7)*pi/2)=sqrt(2)/2
- sin((pi*x))/4=sqrt2/2
- sin(8*x+(7)*pi/2)=sqrt(2)/2
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Expresiones con funciones
- Seno sin
- sin(x)=1/3
- sin(6*x)=9/8
- sin(2x)=-1/2
- sin(3*x)-cos(3*x)=0
- sin(x)^(2)-sin(x)=0
- Raíz cuadrada sqrt
- sqrt(12+x)-sqrt(1-x)=1
- sqrt(x-1)+3=x
- sqrt(x^2-4)=4-2x
- sqrt(x^2-x-3)=3
- sqrt-x=x+6
sin(8*x+(-7)*pi/2)=sqrt(2)/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___ / -7*pi\ \/ 2 sin|8*x + -----| = ----- \ 2 / 2
$$\sin{\left(8 x + \frac{\left(-1\right) 7 \pi}{2} \right)} = \frac{\sqrt{2}}{2}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(8 x + \frac{\left(-1\right) 7 \pi}{2} \right)} = \frac{\sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$8 x = \pi n + \operatorname{acos}{\left(\frac{\sqrt{2}}{2} \right)}$$
$$8 x = \pi n - \pi + \operatorname{acos}{\left(\frac{\sqrt{2}}{2} \right)}$$
O
$$8 x = \pi n + \frac{\pi}{4}$$
$$8 x = \pi n - \frac{3 \pi}{4}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$8$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{8} + \frac{\pi}{32}$$
$$x_{2} = \frac{\pi n}{8} - \frac{3 \pi}{32}$$
$$\sin{\left(8 x + \frac{\left(-1\right) 7 \pi}{2} \right)} = \frac{\sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$8 x = \pi n + \operatorname{acos}{\left(\frac{\sqrt{2}}{2} \right)}$$
$$8 x = \pi n - \pi + \operatorname{acos}{\left(\frac{\sqrt{2}}{2} \right)}$$
O
$$8 x = \pi n + \frac{\pi}{4}$$
$$8 x = \pi n - \frac{3 \pi}{4}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$8$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{8} + \frac{\pi}{32}$$
$$x_{2} = \frac{\pi n}{8} - \frac{3 \pi}{32}$$
Respuesta rápida
[src]
pi
x1 = --
32
$$x_{1} = \frac{\pi}{32}$$
7*pi
x2 = ----
32
$$x_{2} = \frac{7 \pi}{32}$$
x2 = 7*pi/32
Suma y producto de raíces
[src]
suma
pi 7*pi -- + ---- 32 32
$$\frac{\pi}{32} + \frac{7 \pi}{32}$$
=
pi -- 4
$$\frac{\pi}{4}$$
producto
pi 7*pi --*---- 32 32
$$\frac{\pi}{32} \frac{7 \pi}{32}$$
=
2 7*pi ----- 1024
$$\frac{7 \pi^{2}}{1024}$$
7*pi^2/1024
Respuesta numérica
[src]
x1 = -98.0765956542564
x2 = 64.3044746281661
x3 = -69.9986113127976
x4 = -99.8437415219006
x5 = 77.0671947833746
x6 = 51.9344535546563
x7 = 69.9986113127976
x8 = -10.3083508945915
x9 = 44.0804719206818
x10 = -15.8061380383736
x11 = 72.1584562621406
x12 = -19.7331288553609
x13 = 37.6009370726528
x14 = -1.66897109721958
x15 = 94.1496048372691
x16 = 11.682797680537
x17 = -89.6335653977338
x18 = 28.1761591118835
x19 = 26.0163141625405
x20 = 24.2491682948962
x21 = 18.162332528566
x22 = -45.6512682474767
x23 = 4.02516558741192
x24 = 29.9433049795277
x25 = 50.167307687012
x26 = -87.8664195300895
x27 = 40.1534811036945
x28 = -73.7292525889355
x29 = -18.162332528566
x30 = -36.0301407458579
x31 = 32.2994994697201
x32 = 84.1357782539517
x33 = 14.2353417115787
x34 = -76.0854470791278
x35 = 0.098174770424681
x36 = 54.2906480448486
x37 = 79.423389273567
x38 = -43.8841223798324
x39 = -83.9394287131023
x40 = 86.2956232032946
x41 = 90.2226140202819
x42 = -94.9350030006666
x43 = -59.7884351886307
x44 = 42.3133260530375
x45 = 73.9256021297848
x46 = 22.0893233455532
x47 = 7.7558068635498
x48 = 7.95215640439916
x49 = -54.0942985039993
x50 = 82.5649819271568
x51 = -85.7065745807465
x52 = -23.6601196723481
x53 = -15.6097884975243
x54 = -48.007462737669
x55 = -58.0212893209865
x56 = -17.9659829877166
x57 = -63.715426005618
x58 = -29.7469554386784
x59 = -81.7795837637593
x60 = -39.9571315628452
x61 = 62.1446296788231
x62 = -41.7242774304894
x63 = -14.0389921707294
x64 = 48.5965113602171
x65 = -51.7381040138069
x66 = 6.18501053675491
x67 = -80.012437896115
x68 = 32.8885480922681
x69 = 61.9482801379737
x70 = 48.007462737669
x71 = -26.0163141625405
x72 = 68.2314654451533
x73 = -95.720401164064
x74 = -67.4460672817559
x75 = 20.322177477909
x76 = 91.9897598879261
x77 = -34.6556939599124
x78 = -77.8525929467721
x79 = 2.25801971976766
x80 = -65.875270954961
x81 = 10.3083508945915
x82 = 88.0627690709389
x83 = 66.0716204958103
x84 = 95.9167507049134
x85 = -7.7558068635498
x86 = 46.2403168700248
x87 = -21.8929738047039
x88 = -0.687223392972767
x89 = -37.7972866135022
x90 = -55.8614443716435
x91 = -32.1031499288707
x92 = -61.9482801379737
x93 = 98.2729451951057
x94 = 76.2817966199772
x95 = -89.4372158568844
x96 = -74.5146507523329
x97 = -10.8973995171396
x97 = -10.8973995171396