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- La ecuación:
-
Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
-
Ecuación x^2-14*x+33=0
-
Ecuación x^2+6=5x
- Expresar {x} en función de y en la ecuación:
- -13*x-19*y=17
- -9*x-12*y=-19
- -17*x-12*y=-9
- -8*x+3*y=-4
- Límite de la función:
-
sin(x)
- Integral de d{x}:
- sin(x)
- Forma canónica:
- sin(x)
-
Expresiones idénticas
- cos(x)-cos3x=sin(x)
- coseno de (x) menos coseno de 3x es igual a seno de (x)
- cosx-cos3x=sinx
-
Expresiones semejantes
- cos^2x=2(cosx-cos3x)(cosx+cos3x)
- cos(x)+cos3x=sin(x)
- sin3x×cosx-cos3x×sinx=√3/2
- 2sinx=-1
- cosx-cos3x=sinx
-
Expresiones con funciones
- Coseno cos
- cos(x)^(2)=cos(x)
- cos2x+2(sqrt2)sin((pi/2)+x)-2=0
- cos(0,895+0,45)-1,2=x
- cos(5*x)^2=4
- cos(x+a)=-sina
- Seno sin
- sin(pi*x/6)=-1
- sin(x)=-sqrt(3)/2
- sin(x)=4/5
- sin(z)=-2
- sin(x)+cos(x)=0
cos(x)-cos3x=sin(x) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
cos(x) - cos(3*x) = sin(x)
$$\cos{\left(x \right)} - \cos{\left(3 x \right)} = \sin{\left(x \right)}$$
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
pi
x2 = --
12
$$x_{2} = \frac{\pi}{12}$$
5*pi
x3 = ----
12
$$x_{3} = \frac{5 \pi}{12}$$
x4 = pi
$$x_{4} = \pi$$
/ ___ ___ \
| \/ 2 \/ 6 |
| ----- + ----- |
/log(2) / ___\\ | 4 4 |
x5 = -pi + I*|------ - log\\/ 2 /| + atan|---------------|
\ 2 / | ___ ___|
| \/ 2 \/ 6 |
|- ----- + -----|
\ 4 4 /
$$x_{5} = - \pi + \operatorname{atan}{\left(\frac{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)$$
/ ___ ___\
| \/ 2 \/ 6 |
|- ----- + -----|
/log(2) / ___\\ | 4 4 |
x6 = -pi + I*|------ - log\\/ 2 /| + atan|---------------|
\ 2 / | ___ ___ |
| \/ 2 \/ 6 |
| ----- + ----- |
\ 4 4 /
$$x_{6} = - \pi + \operatorname{atan}{\left(\frac{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}}{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)$$
x6 = -pi + atan((-sqrt(2)/4 + sqrt(6)/4)/(sqrt(2)/4 + sqrt(6)/4)) + i*(-log(sqrt(2)) + log(2)/2)
Suma y producto de raíces
[src]
suma
/ ___ ___ \ / ___ ___\
| \/ 2 \/ 6 | | \/ 2 \/ 6 |
| ----- + ----- | |- ----- + -----|
pi 5*pi /log(2) / ___\\ | 4 4 | /log(2) / ___\\ | 4 4 |
-- + ---- + pi + -pi + I*|------ - log\\/ 2 /| + atan|---------------| + -pi + I*|------ - log\\/ 2 /| + atan|---------------|
12 12 \ 2 / | ___ ___| \ 2 / | ___ ___ |
| \/ 2 \/ 6 | | \/ 2 \/ 6 |
|- ----- + -----| | ----- + ----- |
\ 4 4 / \ 4 4 /
$$\left(\left(\left(\frac{\pi}{12} + \frac{5 \pi}{12}\right) + \pi\right) + \left(- \pi + \operatorname{atan}{\left(\frac{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)\right)\right) + \left(- \pi + \operatorname{atan}{\left(\frac{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}}{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)\right)$$
=
/ ___ ___ \ / ___ ___\
| \/ 2 \/ 6 | | \/ 2 \/ 6 |
| ----- + ----- | |- ----- + -----|
pi /log(2) / ___\\ | 4 4 | | 4 4 |
- -- + 2*I*|------ - log\\/ 2 /| + atan|---------------| + atan|---------------|
2 \ 2 / | ___ ___| | ___ ___ |
| \/ 2 \/ 6 | | \/ 2 \/ 6 |
|- ----- + -----| | ----- + ----- |
\ 4 4 / \ 4 4 /
$$- \frac{\pi}{2} + \operatorname{atan}{\left(\frac{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}}{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + \operatorname{atan}{\left(\frac{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + 2 i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)$$
producto
/ / ___ ___ \\ / / ___ ___\\
| | \/ 2 \/ 6 || | | \/ 2 \/ 6 ||
| | ----- + ----- || | |- ----- + -----||
pi 5*pi | /log(2) / ___\\ | 4 4 || | /log(2) / ___\\ | 4 4 ||
0*--*----*pi*|-pi + I*|------ - log\\/ 2 /| + atan|---------------||*|-pi + I*|------ - log\\/ 2 /| + atan|---------------||
12 12 | \ 2 / | ___ ___|| | \ 2 / | ___ ___ ||
| | \/ 2 \/ 6 || | | \/ 2 \/ 6 ||
| |- ----- + -----|| | | ----- + ----- ||
\ \ 4 4 // \ \ 4 4 //
$$\pi \frac{5 \pi}{12} \cdot 0 \frac{\pi}{12} \left(- \pi + \operatorname{atan}{\left(\frac{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)\right) \left(- \pi + \operatorname{atan}{\left(\frac{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}}{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)\right)$$
=
0
$$0$$
0
Respuesta numérica
[src]
x1 = -97.3893722612836
x2 = -65.7116463375865
x3 = 56.5486677646163
x4 = 28.2743338823081
x5 = -81.6814089933346
x6 = -15.707963267949
x7 = -70.9476340935695
x8 = 72.2566310325652
x9 = -71.9948316447661
x10 = 53.6688744988256
x11 = -78.2780169519457
x12 = -53.4070751110265
x13 = 26.4417381677141
x14 = -21.7293491873294
x15 = 4.45058959258554
x16 = 100.530964914873
x17 = 95.5567765466895
x18 = -9.42477796076938
x19 = 73.565627971561
x20 = -56.2868683768171
x21 = -52.0980781720307
x22 = -87.7027949127151
x23 = 13.8753675533549
x24 = -14.3989663289532
x25 = -58.3812634792103
x26 = 35.8665161284835
x27 = -17.540558982543
x28 = -30.1069295969022
x29 = 50.5272818452358
x30 = -743.248461961785
x31 = 50.2654824574367
x32 = 20.1585528605345
x33 = 40.8407044966673
x34 = 31.6777259236971
x35 = -50.0036830696375
x36 = -25.1327412287183
x37 = -93.9859802198946
x38 = -80.3724120543389
x39 = 57.857664703612
x40 = 42.1497014356631
x41 = 44.2440965380563
x42 = -100.269165527074
x43 = -67.8060414399797
x44 = -1.83259571459405
x45 = -36.3901149040818
x46 = -8.11578102177363
x47 = 0.0
x48 = -23.8237442897226
x49 = 9.68657734856853
x50 = 59.9520598060052
x51 = 75.6600230739542
x52 = 29.5833308213039
x53 = 51.5744793964324
x54 = -96.0803753222878
x55 = 18.8495559215388
x56 = 79.8488132787406
x57 = 84.8230016469244
x58 = 48.4328867428426
x59 = -12.30457122656
x60 = 6.28318530717959
x61 = -47.1238898038469
x62 = 94.2477796076938
x63 = 92.4151838930998
x64 = -61.5228561328001
x65 = 78.5398163397448
x66 = -59.4284610304069
x67 = -83.5140047079287
x68 = -43.720497762458
x69 = 22.2529479629277
x70 = 86.1319985859202
x71 = -28.012534494509
x72 = 12.5663706143592
x73 = 37.9609112308767
x74 = -3.14159265358979
x75 = -37.6991118430775
x76 = 15.9697626557481
x77 = 64.1408500107916
x78 = 97.3893722612836
x79 = 66.2352451131848
x80 = -34.2957198016886
x81 = 70.4240353179712
x82 = 97.6511716490827
x83 = -6.02138591938044
x84 = -92.9387826686981
x85 = -89.7971900151083
x86 = 81.9432083811338
x87 = -59.6902604182061
x88 = -75.398223686155
x89 = -69.1150383789755
x90 = -48.9564855184409
x91 = -90.8443875663049
x92 = 88.2263936883134
x93 = 62.8318530717959
x94 = -45.8148928648512
x95 = -74.0892267471593
x96 = -39.5317075576716
x97 = 34.5575191894877
x98 = -31.4159265358979
x99 = 7.59218224617533
x99 = 7.59218224617533