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- La ecuación:
-
Ecuación 3^x=7
-
Ecuación 2+3x=-7x-5
-
Ecuación 3-x/3=x/2
-
Ecuación 3/(x-5)+8/x=2
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- -20*x-6*y=4
- 2*x-15*y=-1
- 8*x+3*y=4
- Integral de d{x}:
- (cos(x)-sin(x))/(cos(x)+sin(x))
- tan(x/2)
- Límite de la función:
-
tan(x/2)
- Derivada de:
-
tan(x/2)
-
Expresiones idénticas
- (cos(x)-sin(x))/(cos(x)+sin(x))=tan(x/ dos)
- ( coseno de (x) menos seno de (x)) dividir por ( coseno de (x) más seno de (x)) es igual a tangente de (x dividir por 2)
- ( coseno de (x) menos seno de (x)) dividir por ( coseno de (x) más seno de (x)) es igual a tangente de (x dividir por dos)
- cosx-sinx/cosx+sinx=tanx/2
- (cos(x)-sin(x)) dividir por (cos(x)+sin(x))=tan(x dividir por 2)
-
Expresiones semejantes
- (cos(x)-sin(x))/(cos(x)-sin(x))=tan(x/2)
- (cos(x)+sin(x))/(cos(x)+sin(x))=tan(x/2)
- (cosx-sinx)/(cosx+sinx)=tan(x/2)
-
Expresiones con funciones
- Coseno cos
- cos(2*x-pi/4)=0
- cos(3*x+pi/4)=1
- cos(x^2)=1
- cos(x/8+pi/4)=1
- cos(x)=1
- Seno sin
- sin(2x)=0
- sin(x)^2=1/2
- sin(3*x)+sin(x)=0
- sin(x)=1/2
- sin((pi*x)/4)=-1
- Coseno cos
- cos(2*x-pi/4)=0
- cos(3*x+pi/4)=1
- cos(x^2)=1
- cos(x/8+pi/4)=1
- cos(x)=1
- Seno sin
- sin(2x)=0
- sin(x)^2=1/2
- sin(3*x)+sin(x)=0
- sin(x)=1/2
- sin((pi*x)/4)=-1
- Tangente tan
- tan(x)=3*x+5*x
- tan(pi*(4x-18)/6)=sqrt(3)/3
- tan(2*a)-tan(2*b)=sin(a+b)*sin(a-b)*sec(2*asec(2*b))
- tan(pi*x-6/6)=1/sqrt(3)
- tan(3*x)+tan(x)=0
(cos(x)-sin(x))/(cos(x)+sin(x))=tan(x/2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
cos(x) - sin(x) /x\ --------------- = tan|-| cos(x) + sin(x) \2/
$$\frac{- \sin{\left(x \right)} + \cos{\left(x \right)}}{\sin{\left(x \right)} + \cos{\left(x \right)}} = \tan{\left(\frac{x}{2} \right)}$$
Suma y producto de raíces
[src]
suma
pi pi 5*pi - -- + -- + ---- 2 6 6
$$\left(- \frac{\pi}{2} + \frac{\pi}{6}\right) + \frac{5 \pi}{6}$$
=
pi -- 2
$$\frac{\pi}{2}$$
producto
-pi pi 5*pi ----*--*---- 2 6 6
$$\frac{5 \pi}{6} \cdot - \frac{\pi}{2} \frac{\pi}{6}$$
=
3 -5*pi ------ 72
$$- \frac{5 \pi^{3}}{72}$$
-5*pi^3/72
Respuesta rápida
[src]
-pi
x1 = ----
2
$$x_{1} = - \frac{\pi}{2}$$
pi
x2 = --
6
$$x_{2} = \frac{\pi}{6}$$
5*pi
x3 = ----
6
$$x_{3} = \frac{5 \pi}{6}$$
x3 = 5*pi/6
Respuesta numérica
[src]
x1 = -100.007366139275
x2 = 61.261056745001
x3 = 42.4115008234622
x4 = -91.6297857297023
x5 = 17.2787595947439
x6 = 86.3937979737193
x7 = -87.4409955249159
x8 = -49.7418836818384
x9 = -95.8185759344887
x10 = 23.5619449019235
x11 = -68.5914396033772
x12 = -81.1578102177363
x13 = -14.1371669411541
x14 = -60.2138591938044
x15 = -53.9306738866248
x16 = -62.3082542961976
x17 = 101.054563690472
x18 = 10.9955742875643
x19 = 50.789081233035
x20 = 34.0339204138894
x21 = -12.0427718387609
x22 = 6.80678408277789
x23 = 0.523598775598299
x24 = 57.0722665402146
x25 = -26.7035375555132
x26 = 94.7713783832921
x27 = 75.9218224617533
x28 = 71.733032256967
x29 = -1.5707963267949
x30 = 63.3554518473942
x31 = 13.0899693899575
x32 = 92.6769832808989
x33 = 36.1283155162826
x34 = -39.2699081698724
x35 = 4.71238898038469
x36 = -76.9690200129499
x37 = 48.6946861306418
x38 = 38.2227106186758
x39 = -3.66519142918809
x40 = 31.9395253114962
x41 = 98.9601685880785
x42 = -45.553093477052
x43 = -89.5353906273091
x44 = -70.6858347057703
x45 = -30.8923277602996
x46 = 73.8274273593601
x47 = -18.3259571459405
x48 = 44.5058959258554
x49 = 82.2050077689329
x50 = 84.2994028713261
x51 = -16.2315620435473
x52 = -20.4203522483337
x53 = -58.1194640914112
x54 = 25.6563400043166
x55 = -5.75958653158129
x56 = -37.1755130674792
x57 = 80.1106126665397
x58 = 40.317105721069
x59 = 29.845130209103
x60 = 69.6386371545737
x61 = 19.3731546971371
x62 = -43.4586983746588
x63 = 27.7507351067098
x64 = -64.4026493985908
x65 = -83.2522053201295
x66 = -93.7241808320955
x67 = 88.4881930761125
x68 = 78.0162175641465
x69 = -97.9129710368819
x70 = -9.94837673636768
x71 = -56.025068989018
x72 = -32.9867228626928
x73 = -47.6474885794452
x74 = -51.8362787842316
x75 = 67.5442420521806
x76 = -7.85398163397448
x77 = -24.60914245312
x78 = 54.9778714378214
x79 = -74.8746249105567
x79 = -74.8746249105567