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- La ecuación:
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Ecuación x^2+5x=36
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Ecuación 9-7(x+3)=5-6x
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Ecuación 4x-5=3+2(x+1)
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Ecuación 6/(x-2)+5/x=3
- Expresar {x} en función de y en la ecuación:
- -14*x-12*y=-13
- -20*x+14*y=16
- -7*x+15*y=-11
- -14*x+5*y=3
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Expresiones idénticas
- log(tres)*(ocho *sin(x)*sqrt(tres))= dos
- logaritmo de (3) multiplicar por (8 multiplicar por seno de (x) multiplicar por raíz cuadrada de (3)) es igual a 2
- logaritmo de (tres) multiplicar por (ocho multiplicar por seno de (x) multiplicar por raíz cuadrada de (tres)) es igual a dos
- log(3)*(8*sin(x)*√(3))=2
- log(3)(8sin(x)sqrt(3))=2
- log38sinxsqrt3=2
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Expresiones semejantes
- log(3)*(8*sinx*sqrt(3))=2
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Expresiones con funciones
- Logaritmo log
- log(5,x^(2*y))+log(e,(x+y)^5)=17
- log(x^2-x-3)=log(x)
- log(y)-3+4/y=0
- log2(2𝑥−3)=4
- log(15,(x+7)^2)=0
- Seno sin
- sin(x)=1/2
- sin(x)-sqrt(2)/2=0
- sin(x)/x=1
- sin(x)=-0,5
- sin(x)=-1/7
- Raíz cuadrada sqrt
- sqrt((a-b*w^2)^2+(c*w)^2)=(19/10)*w
- sqrt(0*x+0)=0
- sqrt(5+2*x)=8+-sqrt(x-1)
- sqrt(4*x^2+4*x-6)=2
- sqrt(3*x+1)=x-1
log(3)*(8*sin(x)*sqrt(3))=2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___ log(3)*8*sin(x)*\/ 3 = 2
$$\sqrt{3} \cdot 8 \sin{\left(x \right)} \log{\left(3 \right)} = 2$$
Solución detallada
Tenemos la ecuación
$$\sqrt{3} \cdot 8 \sin{\left(x \right)} \log{\left(3 \right)} = 2$$
es la ecuación trigonométrica más simple
La ecuación se convierte en
$$\sin{\left(x \right)} = \frac{\sqrt{3}}{12 \log{\left(3 \right)}}$$
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)} + \pi$$
, donde n es cualquier número entero
$$\sqrt{3} \cdot 8 \sin{\left(x \right)} \log{\left(3 \right)} = 2$$
es la ecuación trigonométrica más simple
Dividamos ambos miembros de la ecuación en 8*sqrt(3)*log(3)
La ecuación se convierte en
$$\sin{\left(x \right)} = \frac{\sqrt{3}}{12 \log{\left(3 \right)}}$$
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)} + \pi$$
, donde n es cualquier número entero
Respuesta rápida
[src]
/ ___ \
| \/ 3 |
x1 = pi - asin|---------|
\12*log(3)/
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)}$$
/ ___ \
| \/ 3 |
x2 = asin|---------|
\12*log(3)/
$$x_{2} = \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)}$$
x2 = asin(sqrt(3)/(12*log(3)))
Suma y producto de raíces
[src]
suma
/ ___ \ / ___ \
| \/ 3 | | \/ 3 |
pi - asin|---------| + asin|---------|
\12*log(3)/ \12*log(3)/
$$\operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)}\right)$$
=
pi
$$\pi$$
producto
/ / ___ \\ / ___ \ | | \/ 3 || | \/ 3 | |pi - asin|---------||*asin|---------| \ \12*log(3)// \12*log(3)/
$$\left(\pi - \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)}\right) \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)}$$
=
/ / ___ \\ / ___ \ | | \/ 3 || | \/ 3 | |pi - asin|---------||*asin|---------| \ \12*log(3)// \12*log(3)/
$$\left(\pi - \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)}\right) \operatorname{asin}{\left(\frac{\sqrt{3}}{12 \log{\left(3 \right)}} \right)}$$
(pi - asin(sqrt(3)/(12*log(3))))*asin(sqrt(3)/(12*log(3)))
Respuesta numérica
[src]
x1 = 97.257609612569
x2 = -59.8220230669207
x3 = 78.4080536910302
x4 = 40.7089418479527
x5 = -62.7000904230812
x6 = -31.2841638871833
x7 = 0.131762648714612
x8 = 56.6804304133309
x9 = 62.9636157205105
x10 = -81.54964634462
x11 = 100.662727563588
x12 = -34.6892818382023
x13 = 50.3972451061513
x14 = 37.8308744917921
x15 = -3.27335530230441
x16 = -40.9724671453819
x17 = 46.9921271551323
x18 = 72.1248683838506
x19 = 53.2753124623119
x20 = 34.4257565407731
x21 = 59.5584977694915
x22 = -72.3883936812799
x23 = 31.5476891846125
x24 = 84.6912389982098
x25 = -50.1337198087221
x26 = -28.4060965310228
x27 = -75.2664610374404
x28 = 28.1425712335935
x29 = -47.2556524525615
x30 = 75.5299863348696
x31 = 15.5762006192344
x32 = -25.0009785800037
x33 = 25.264503877433
x34 = 12.6981332630738
x35 = -18.7177932728241
x36 = 69.2468010276901
x37 = 94.3795422564084
x38 = -53.5388377597411
x39 = -22.1229112238432
x40 = -84.954764295639
x41 = -94.1160169589792
x42 = -6.15142265846497
x43 = -37.5673491943629
x44 = 18.9813185702534
x45 = 21.8593859264139
x46 = 81.8131716420492
x47 = -91.2379496028186
x48 = 90.9744243053894
x49 = 150.928210021025
x50 = -100.399202266159
x51 = -15.8397259166636
x52 = 44.1140597989717
x53 = 3.00983000487518
x54 = 6.4149479558942
x55 = -68.9832757302608
x56 = 88.0963569492288
x57 = -3402.47660648646
x58 = -56.4169051159017
x59 = -43.8505345015425
x60 = 65.841683076671
x61 = -12.4346079656446
x62 = -97.5211349099982
x63 = -87.8328316517996
x64 = -78.6715789884594
x65 = -9.55654060948399
x66 = 9.29301531205477
x67 = -66.1052083741003
x67 = -66.1052083741003