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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 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
-
Expresiones idénticas
- sinx+cos(5x- cuatro ,5pi)=sqrt(tres)sin(3x+pi)
- seno de x más coseno de (5x menos 4,5 número pi ) es igual a raíz cuadrada de (3) seno de (3x más número pi )
- seno de x más coseno de (5x menos cuatro ,5 número pi ) es igual a raíz cuadrada de (tres) seno de (3x más número pi )
- sinx+cos(5x-4,5pi)=√(3)sin(3x+pi)
- sinx+cos5x-4,5pi=sqrt3sin3x+pi
-
Expresiones semejantes
- sinx+cos(5x+4,5pi)=sqrt(3)sin(3x+pi)
- sinx-cos(5x-4,5pi)=sqrt(3)sin(3x+pi)
- sinx+cos(5x-4,5pi)=sqrt(3)sin(3x-pi)
-
Expresiones con funciones
- sinx
- sinx/2cosп/3-cosx/2×sinп/3=1/4
- sinx=-(sqr2/2)
- sinx=6.2+2x
- sinx+2=0
- sinx·cosx+2cosx=a+2+2sinx−5x
- 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
- Raíz cuadrada sqrt
- sqrt^4(17x^2-16)=x
- sqrt(0,5+(sinx)^2)+c0s2x=1
- sqrt4(4x+5-x^2)-sqrt(4x-x^2-3)=1
- sqrt^4(x+15)+sqrt^4(1-x)=2
- sqrt(x-1)*sqrt(x+a^2)*sqrt(x-3)=0
- Seno sin
- sin(pi*x/6)=-1
- sin(x)=4/5
- sin(x)+cos(x)=0
- sin(x)=1
- sin(1/2*x-pi/6)=1/2
sinx+cos(5x-4,5pi)=sqrt(3)sin(3x+pi) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 9*pi\ ___
sin(x) + cos|5*x - ----| = \/ 3 *sin(3*x + pi)
\ 2 /
$$\sin{\left(x \right)} + \cos{\left(5 x - \frac{9 \pi}{2} \right)} = \sqrt{3} \sin{\left(3 x + \pi \right)}$$
Suma y producto de raíces
[src]
suma
/ ___ ___\ / ___ ___ \
| \/ 2 \/ 6 | | \/ 2 \/ 6 |
|- ----- - -----| | ----- + ----- |
2*pi 5*pi pi pi 5*pi 2*pi /log(2) / ___\\ | 4 4 | /log(2) / ___\\ | 4 4 |
- ---- - ---- - -- + -- + ---- + ---- + pi + pi + I*|------ - log\\/ 2 /| + atan|---------------| + -pi + I*|------ - log\\/ 2 /| + atan|---------------|
3 12 3 3 12 3 \ 2 / | ___ ___| \ 2 / | ___ ___|
| \/ 2 \/ 6 | | \/ 2 \/ 6 |
|- ----- + -----| |- ----- + -----|
\ 4 4 / \ 4 4 /
$$\left(\left(\left(\left(\left(\left(\left(- \frac{2 \pi}{3} - \frac{5 \pi}{12}\right) - \frac{\pi}{3}\right) + \frac{\pi}{3}\right) + \frac{5 \pi}{12}\right) + \frac{2 \pi}{3}\right) + \pi\right) + \left(\operatorname{atan}{\left(\frac{- \frac{\sqrt{6}}{4} - \frac{\sqrt{2}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + \pi + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)\right)\right) + \left(- \pi + \operatorname{atan}{\left(\frac{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)\right)$$
=
/ ___ ___\ / ___ ___ \
| \/ 2 \/ 6 | | \/ 2 \/ 6 |
|- ----- - -----| | ----- + ----- |
/log(2) / ___\\ | 4 4 | | 4 4 |
pi + 2*I*|------ - log\\/ 2 /| + atan|---------------| + atan|---------------|
\ 2 / | ___ ___| | ___ ___|
| \/ 2 \/ 6 | | \/ 2 \/ 6 |
|- ----- + -----| |- ----- + -----|
\ 4 4 / \ 4 4 /
$$\operatorname{atan}{\left(\frac{- \frac{\sqrt{6}}{4} - \frac{\sqrt{2}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + \operatorname{atan}{\left(\frac{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + \pi + 2 i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)$$
producto
/ / ___ ___\\ / / ___ ___ \\
| | \/ 2 \/ 6 || | | \/ 2 \/ 6 ||
| |- ----- - -----|| | | ----- + ----- ||
-2*pi -5*pi -pi pi 5*pi 2*pi | /log(2) / ___\\ | 4 4 || | /log(2) / ___\\ | 4 4 ||
0*-----*-----*----*--*----*----*pi*|pi + I*|------ - log\\/ 2 /| + atan|---------------||*|-pi + I*|------ - log\\/ 2 /| + atan|---------------||
3 12 3 3 12 3 | \ 2 / | ___ ___|| | \ 2 / | ___ ___||
| | \/ 2 \/ 6 || | | \/ 2 \/ 6 ||
| |- ----- + -----|| | |- ----- + -----||
\ \ 4 4 // \ \ 4 4 //
$$\pi \frac{2 \pi}{3} \frac{5 \pi}{12} \frac{\pi}{3} \cdot - \frac{\pi}{3} \cdot - \frac{5 \pi}{12} \cdot 0 \left(- \frac{2 \pi}{3}\right) \left(\operatorname{atan}{\left(\frac{- \frac{\sqrt{6}}{4} - \frac{\sqrt{2}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + \pi + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)\right) \left(- \pi + \operatorname{atan}{\left(\frac{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)\right)$$
=
0
$$0$$
0
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
-2*pi
x2 = -----
3
$$x_{2} = - \frac{2 \pi}{3}$$
-5*pi
x3 = -----
12
$$x_{3} = - \frac{5 \pi}{12}$$
-pi
x4 = ----
3
$$x_{4} = - \frac{\pi}{3}$$
pi
x5 = --
3
$$x_{5} = \frac{\pi}{3}$$
5*pi
x6 = ----
12
$$x_{6} = \frac{5 \pi}{12}$$
2*pi
x7 = ----
3
$$x_{7} = \frac{2 \pi}{3}$$
x8 = pi
$$x_{8} = \pi$$
/ ___ ___\
| \/ 2 \/ 6 |
|- ----- - -----|
/log(2) / ___\\ | 4 4 |
x9 = pi + I*|------ - log\\/ 2 /| + atan|---------------|
\ 2 / | ___ ___|
| \/ 2 \/ 6 |
|- ----- + -----|
\ 4 4 /
$$x_{9} = \operatorname{atan}{\left(\frac{- \frac{\sqrt{6}}{4} - \frac{\sqrt{2}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + \pi + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)$$
/ ___ ___ \
| \/ 2 \/ 6 |
| ----- + ----- |
/log(2) / ___\\ | 4 4 |
x10 = -pi + I*|------ - log\\/ 2 /| + atan|---------------|
\ 2 / | ___ ___|
| \/ 2 \/ 6 |
|- ----- + -----|
\ 4 4 /
$$x_{10} = - \pi + \operatorname{atan}{\left(\frac{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)$$
x10 = -pi + atan((sqrt(2)/4 + sqrt(6)/4)/(-sqrt(2)/4 + sqrt(6)/4)) + i*(-log(sqrt(2)) + log(2)/2)
Respuesta numérica
[src]
x1 = 17.8023583703422
x2 = -79.8488132787406
x3 = -67.8060414399797
x4 = 96.0803753222878
x5 = 98.4365698124802
x6 = 70.162235930172
x7 = -99.4837673636768
x8 = 32.4631240870945
x9 = 74.0892267471593
x10 = -59.6902604182061
x11 = -48.1710873550435
x12 = 2.0943951023932
x13 = -41.8879020478639
x14 = 21.9911485751286
x15 = 43.9822971502571
x16 = -85.870199198121
x17 = -73.565627971561
x18 = -4.18879020478639
x19 = 4.18879020478639
x20 = -7.59218224617533
x21 = 8.11578102177363
x22 = -74.0892267471593
x23 = -1.83259571459405
x24 = 26.1799387799149
x25 = 86.1319985859202
x26 = 61.5228561328001
x27 = 39.7935069454707
x28 = -92.1533845053006
x29 = -57.857664703612
x30 = -96.0803753222878
x31 = 68.0678408277789
x32 = 10.471975511966
x33 = -52.3598775598299
x34 = 4.45058959258554
x35 = 94.2477796076938
x36 = -55.5014702134197
x37 = -45.8148928648512
x38 = 76.4454212373516
x39 = 89.7971900151083
x40 = -19.8967534727354
x41 = -11.5191730631626
x42 = 48.1710873550435
x43 = 92.1533845053006
x44 = 0.0
x45 = 26.4417381677141
x46 = -81.6814089933346
x47 = 30.1069295969022
x48 = -35.8665161284835
x49 = 83.5140047079287
x50 = -61.7846555205993
x51 = -83.7758040957278
x52 = 20.1585528605345
x53 = -87.9645943005142
x54 = 6.28318530717959
x55 = 13.8753675533549
x56 = -39.7935069454707
x57 = -26.1799387799149
x58 = -77.4926187885482
x59 = 46.0766922526503
x60 = -37.6991118430775
x61 = 65.9734457253857
x62 = 61.7846555205993
x63 = -29.3215314335047
x64 = 83.7758040957278
x65 = 42.1497014356631
x66 = -13.8753675533549
x67 = -70.162235930172
x68 = -99.2219679758776
x69 = 72.2566310325652
x70 = -95.2949771588904
x71 = -43.9822971502571
x72 = 64.1408500107916
x73 = -33.5103216382911
x74 = 52.0980781720307
x75 = 87.9645943005142
x76 = -419.664418642037
x77 = -30.1069295969022
x78 = -17.8023583703422
x79 = 24.0855436775217
x80 = 28.2743338823081
x81 = -29.5833308213039
x82 = -89.7971900151083
x83 = 54.4542726622231
x84 = -21.9911485751286
x85 = 85.870199198121
x86 = -77.2308194007491
x87 = 90.0589894029074
x88 = -23.8237442897226
x89 = -65.9734457253857
x90 = -15.707963267949
x91 = -63.8790506229925
x92 = 50.2654824574367
x93 = -52.0980781720307
x94 = 102.363560629467
x94 = 102.363560629467