Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
-
Ecuación x^2-14*x+33=0
-
Ecuación x+18=8
- 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
- sin^ dos (x)+sin(dos x)-3cos^2(x)= cero
- seno de al cuadrado (x) más seno de (2x) menos 3 coseno de al cuadrado (x) es igual a 0
- seno de en el grado dos (x) más seno de (dos x) menos 3 coseno de al cuadrado (x) es igual a cero
- sin2(x)+sin(2x)-3cos2(x)=0
- sin2x+sin2x-3cos2x=0
- sin²(x)+sin(2x)-3cos²(x)=0
- sin en el grado 2(x)+sin(2x)-3cos en el grado 2(x)=0
- sin^2x+sin2x-3cos^2x=0
- sin^2(x)+sin(2x)-3cos^2(x)=O
-
Expresiones semejantes
- sin^2(x)+sin(2x)+3cos^2(x)=0
- sin^2(x)-sin(2x)-3cos^2(x)=0
-
Expresiones con funciones
- Seno sin
- sin(pi*x/6)=-1
- sin(x)=4/5
- sin(x)+cos(x)=0
- sin(x)=1
- sin(2x)-cos(x)=0
- Seno sin
- sin(pi*x/6)=-1
- sin(x)=4/5
- sin(x)+cos(x)=0
- sin(x)=1
- sin(2x)-cos(x)=0
sin^2(x)+sin(2x)-3cos^2(x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 sin (x) + sin(2*x) - 3*cos (x) = 0
$$\left(\sin^{2}{\left(x \right)} + \sin{\left(2 x \right)}\right) - 3 \cos^{2}{\left(x \right)} = 0$$
Suma y producto de raíces
[src]
suma
pi /log(10) / ____\\ /log(10) / ____\\ / ___\ -- + pi - atan(3) + I*|------- - log\\/ 10 /| + -atan(3) + I*|------- - log\\/ 10 /| - I*log\-\/ I / 4 \ 2 / \ 2 /
$$- i \log{\left(- \sqrt{i} \right)} + \left(\left(\frac{\pi}{4} + \left(- \operatorname{atan}{\left(3 \right)} + \pi + i \left(- \log{\left(\sqrt{10} \right)} + \frac{\log{\left(10 \right)}}{2}\right)\right)\right) + \left(- \operatorname{atan}{\left(3 \right)} + i \left(- \log{\left(\sqrt{10} \right)} + \frac{\log{\left(10 \right)}}{2}\right)\right)\right)$$
=
5*pi / ___\ /log(10) / ____\\
-2*atan(3) + ---- - I*log\-\/ I / + 2*I*|------- - log\\/ 10 /|
4 \ 2 /
$$- 2 \operatorname{atan}{\left(3 \right)} - i \log{\left(- \sqrt{i} \right)} + \frac{5 \pi}{4} + 2 i \left(- \log{\left(\sqrt{10} \right)} + \frac{\log{\left(10 \right)}}{2}\right)$$
producto
pi / /log(10) / ____\\\ / /log(10) / ____\\\ / / ___\\ --*|pi - atan(3) + I*|------- - log\\/ 10 /||*|-atan(3) + I*|------- - log\\/ 10 /||*\-I*log\-\/ I // 4 \ \ 2 // \ \ 2 //
$$- i \log{\left(- \sqrt{i} \right)} \frac{\pi}{4} \left(- \operatorname{atan}{\left(3 \right)} + \pi + i \left(- \log{\left(\sqrt{10} \right)} + \frac{\log{\left(10 \right)}}{2}\right)\right) \left(- \operatorname{atan}{\left(3 \right)} + i \left(- \log{\left(\sqrt{10} \right)} + \frac{\log{\left(10 \right)}}{2}\right)\right)$$
=
/ ___\
pi*I*(pi - atan(3))*atan(3)*log\-\/ I /
---------------------------------------
4
$$\frac{i \pi \left(\pi - \operatorname{atan}{\left(3 \right)}\right) \log{\left(- \sqrt{i} \right)} \operatorname{atan}{\left(3 \right)}}{4}$$
pi*i*(pi - atan(3))*atan(3)*log(-sqrt(i))/4
Respuesta rápida
[src]
pi
x1 = --
4
$$x_{1} = \frac{\pi}{4}$$
/log(10) / ____\\
x2 = pi - atan(3) + I*|------- - log\\/ 10 /|
\ 2 /
$$x_{2} = - \operatorname{atan}{\left(3 \right)} + \pi + i \left(- \log{\left(\sqrt{10} \right)} + \frac{\log{\left(10 \right)}}{2}\right)$$
/log(10) / ____\\
x3 = -atan(3) + I*|------- - log\\/ 10 /|
\ 2 /
$$x_{3} = - \operatorname{atan}{\left(3 \right)} + i \left(- \log{\left(\sqrt{10} \right)} + \frac{\log{\left(10 \right)}}{2}\right)$$
/ ___\ x4 = -I*log\-\/ I /
$$x_{4} = - i \log{\left(- \sqrt{i} \right)}$$
x4 = -i*log(-sqrt(i))
Respuesta numérica
[src]
x1 = -46.3384916404494
x2 = 23.8836954563201
x3 = 61.5828072993976
x4 = 38.484510006475
x5 = -20.098601693937
x6 = -87.1791961371168
x7 = -2.35619449019234
x8 = -35.806564961886
x9 = 32.2013246992954
x10 = -42.0897502690656
x11 = 60.4756585816035
x12 = -73.5056768049635
x13 = 30.1668807634997
x14 = -4.39063842598805
x15 = -29.5233796547064
x16 = 47.9092879672443
x17 = 36.4500660706793
x18 = -76.6472694585533
x19 = 67.8659926065772
x20 = 52.1580293386282
x21 = -95.496825380092
x22 = 54.1924732744239
x23 = 19.6349540849362
x24 = 69.9004365423729
x25 = -57.7977135370145
x26 = -65.1880475619882
x27 = -51.5145282298349
x28 = 14.4589174955507
x29 = -70.3640841513737
x30 = -64.0808988441941
x31 = 58.4412146458078
x32 = -54.6561208834247
x33 = 89.8571411817058
x34 = -21.2057504117311
x35 = 39.5916587242691
x36 = -48.3729355762452
x37 = -24.3473430653209
x38 = 16.4933614313464
x39 = 25.9181393921158
x40 = -26.3817870011166
x41 = -33.7721210260903
x42 = -92.3552327265023
x43 = 51.0508806208341
x44 = 44.7676953136546
x45 = -7.53223107957784
x46 = 8.17573218837112
x47 = -79.7888621121431
x48 = 96.1403264888853
x49 = -13.8154163867574
x50 = 22.776546738526
x51 = 83.5739558745262
x52 = -62.0464549083984
x53 = 45.8748440314486
x54 = -49.4800842940392
x55 = -5.49778714378214
x56 = 10.2101761241668
x57 = 76.1836218495525
x58 = 17.6005101491405
x59 = 1.89254688119154
x60 = 55.299621992218
x61 = -55.7632696012188
x62 = -93.4623814442964
x63 = -40.0553063332699
x64 = 0.785398163397448
x65 = -68.329640215578
x66 = 91.8915851175014
x67 = -99.7455667514759
x68 = 751.626042371358
x69 = 66.7588438887831
x70 = -90.3207887907066
x71 = -77.7544181763474
x72 = 3.92699081698724
x73 = -18.0641577581413
x74 = -84.037603483527
x75 = -86.0720474193227
x76 = 20.7421028027303
x77 = -11.7809724509617
x78 = 88.7499924639117
x79 = -43.1968989868597
x80 = 80.4323632209364
x81 = -71.4712328691678
x82 = -27.4889357189107
x83 = 82.4668071567321
x84 = 98.174770424681
x85 = -98.6384180336818
x86 = 74.1491779137568
x86 = 74.1491779137568