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- La ecuación:
-
Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
-
Ecuación x^2-14*x+33=0
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Ecuación 5(x-4)=3x-10
- Expresar {x} en función de y en la ecuación:
- 12*x+1*y=15
- -17*x-12*y=-9
- 18*x+17*y=-14
- 16*x-17*y=-15
- Derivada de:
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1/2
- Suma de la serie:
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1/2
- Límite de la función:
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1/2
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Expresiones idénticas
- cos(tg(x))= uno / dos
- coseno de (tg(x)) es igual a 1 dividir por 2
- coseno de (tg(x)) es igual a uno dividir por dos
- costgx=1/2
- cos(tg(x))=1 dividir por 2
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Expresiones semejantes
- x=(x+1)/2
- 5=1/(2^(x/30))
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Expresiones con funciones
- Coseno cos
- cos(x)^(2)=cos(x)
- cos^2(x-1)=0
- cos(acos(x))=0
- cos(x)^(2)-cos(2*x)=0
- cos(t)=pi/3
- tg
- tg(1+y)-y=0
- tg2*(h-h)=tg1*(h+h)
- tg^3(x)-tg^2(x)+tg(x)-1=0
- tgy=1-x+tgx
- tg(x)=-x/(sqrt(a^2-x^2))
cos(tg(x))=1/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\cos{\left(\tan{\left(x \right)} \right)} = \frac{1}{2}$$
cambiamos
$$\cos{\left(\tan{\left(x \right)} \right)} - \frac{1}{2} = 0$$
$$\cos{\left(\tan{\left(x \right)} \right)} - \frac{1}{2} = 0$$
Sustituimos
$$w = \cos{\left(\tan{\left(x \right)} \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = \frac{1}{2}$$
Obtenemos la respuesta: w = 1/2
hacemos cambio inverso
$$\cos{\left(\tan{\left(x \right)} \right)} = w$$
sustituimos w:
$$\cos{\left(\tan{\left(x \right)} \right)} = \frac{1}{2}$$
cambiamos
$$\cos{\left(\tan{\left(x \right)} \right)} - \frac{1}{2} = 0$$
$$\cos{\left(\tan{\left(x \right)} \right)} - \frac{1}{2} = 0$$
Sustituimos
$$w = \cos{\left(\tan{\left(x \right)} \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = \frac{1}{2}$$
Obtenemos la respuesta: w = 1/2
hacemos cambio inverso
$$\cos{\left(\tan{\left(x \right)} \right)} = w$$
sustituimos w:
Respuesta rápida
[src]
/pi\
x1 = atan|--|
\3 /
$$x_{1} = \operatorname{atan}{\left(\frac{\pi}{3} \right)}$$
/5*pi\
x2 = atan|----|
\ 3 /
$$x_{2} = \operatorname{atan}{\left(\frac{5 \pi}{3} \right)}$$
x2 = atan(5*pi/3)
Suma y producto de raíces
[src]
suma
/pi\ /5*pi\
atan|--| + atan|----|
\3 / \ 3 /
$$\operatorname{atan}{\left(\frac{\pi}{3} \right)} + \operatorname{atan}{\left(\frac{5 \pi}{3} \right)}$$
=
/pi\ /5*pi\
atan|--| + atan|----|
\3 / \ 3 /
$$\operatorname{atan}{\left(\frac{\pi}{3} \right)} + \operatorname{atan}{\left(\frac{5 \pi}{3} \right)}$$
producto
/pi\ /5*pi\
atan|--|*atan|----|
\3 / \ 3 /
$$\operatorname{atan}{\left(\frac{\pi}{3} \right)} \operatorname{atan}{\left(\frac{5 \pi}{3} \right)}$$
=
/pi\ /5*pi\
atan|--|*atan|----|
\3 / \ 3 /
$$\operatorname{atan}{\left(\frac{\pi}{3} \right)} \operatorname{atan}{\left(\frac{5 \pi}{3} \right)}$$
atan(pi/3)*atan(5*pi/3)
Respuesta numérica
[src]
x1 = 47.9323385964769
x2 = 82.4898577859646
x3 = 84.0145528542944
x4 = 5.47473651454956
x5 = -84.0145528542944
x6 = -112.288886736603
x7 = 91.914635746734
x8 = -13.9484535872585
x9 = -40.0322557040373
x10 = -54.2155239036565
x11 = 3.95004144621982
x12 = 32.224375328528
x13 = -71.4481822399352
x14 = -8.61632916813936
x15 = -5.47473651454956
x16 = -33.7490703968577
x17 = 33.7490703968577
x18 = -77.7313675471148
x19 = -62.0234042791658
x20 = -91.914635746734
x21 = 20.2316388944381
x22 = -11.7579218217292
x23 = -85.6314504395544
x24 = 73.0650798251953
x25 = -82.4898577859646
x26 = 98.1978210539136
x27 = 77.7313675471148
x28 = -27.4658850896781
x29 = 60.4987092108361
x30 = 62.0234042791658
x31 = 58.206058779884
x32 = 1199.27994487867
x33 = -49.4570336648067
x34 = 2.33314386095977
x35 = -3.95004144621982
x36 = 64.2139360446952
x37 = -52.5986263183965
x38 = -25.9411900213484
x39 = -93.4393308150638
x40 = -41.6491532892973
x41 = 24.3242924360883
x42 = 14.1873841422127
x43 = -4793.26194058539
x44 = -68.3065895863454
x45 = -69.9234871716055
x46 = -23.750658255819
x47 = -24.3242924360883
x48 = 18.0411071289087
x49 = -47.9323385964769
x50 = -51.7496840957587
x51 = -10.2332267533994
x52 = 99.7225161222434
x53 = -55.7402189719863
x54 = -90.297738161474
x55 = 76.2066724787851
x56 = -98.1978210539136
x57 = -29.9807118069982
x58 = -32.224375328528
x59 = 10.2332267533994
x60 = 36.8906630504475
x61 = 90.297738161474
x62 = 80.2461942644349
x63 = 25.9411900213484
x64 = -19.6580047141688
x65 = 95.7319812460158
x66 = -99.7225161222434
x67 = 40.0322557040373
x68 = 30.6074777432679
x69 = 54.2155239036565
x70 = -18.0411071289087
x71 = 11.7579218217292
x72 = 42.2227874695666
x73 = -95.9541575323839
x74 = 16.516412060579
x75 = 69.9234871716055
x76 = -65.1649969327556
x77 = -76.2066724787851
x78 = -1.75950968069048
x79 = 51.0739312500667
x80 = 46.3154410112169
x81 = -51.0739312500667
x82 = -63.6403018644259
x83 = 68.3065895863454
x84 = 38.5075606357075
x85 = 86.2050846198237
x86 = -61.1254751471058
x87 = 55.7402189719863
x87 = 55.7402189719863