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Otras calculadoras
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- La ecuación:
-
Ecuación cos(x)-sin(x)=0
-
Ecuación cos(x)=sqrt(3)/2
-
Ecuación x^3+x^2=0
-
Ecuación -5x+4=24
- Expresar {x} en función de y en la ecuación:
- 2*x+18*y=20
- 18*x-12*y=-20
- -4*x+18*y=-14
- -1*x-17*y=-12
-
Expresiones idénticas
- tgx+ uno /cos^2x= tres
- tgx más 1 dividir por coseno de al cuadrado x es igual a 3
- tgx más uno dividir por coseno de al cuadrado x es igual a tres
- tgx+1/cos2x=3
- tgx+1/cos²x=3
- tgx+1/cos en el grado 2x=3
- tgx+1 dividir por cos^2x=3
-
Expresiones semejantes
- tgx-1/cos^2x=3
-
Expresiones con funciones
- tgx
- tgx/3=sqrt(3)/3
- tgx=-1
- tgx =2sinx
- tgx-3^(1/2)*ctgx=3^(1/2)-1
- tgx=(1/√8−3)+–√8
- Coseno cos
- cos(x)-sin(x)=0
- cos(x)=sqrt(3)/2
- cos(x)=0
- cos(x)=(1/10)
- cos(x)-x^2=0
tgx+1/cos^2x=3 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
1
tan(x) + ------- = 3
2
cos (x)
$$\tan{\left(x \right)} + \frac{1}{\cos^{2}{\left(x \right)}} = 3$$
Suma y producto de raíces
[src]
suma
pi /log(5) / ___\\ /log(5) / ___\\ / ___\ -- + pi - atan(2) + I*|------ - log\\/ 5 /| + -atan(2) + I*|------ - log\\/ 5 /| - I*log\-\/ I / 4 \ 2 / \ 2 /
$$- i \log{\left(- \sqrt{i} \right)} + \left(\left(\frac{\pi}{4} + \left(- \operatorname{atan}{\left(2 \right)} + \pi + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)\right)\right) + \left(- \operatorname{atan}{\left(2 \right)} + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)\right)\right)$$
=
5*pi / ___\ /log(5) / ___\\
-2*atan(2) + ---- - I*log\-\/ I / + 2*I*|------ - log\\/ 5 /|
4 \ 2 /
$$- i \log{\left(- \sqrt{i} \right)} - 2 \operatorname{atan}{\left(2 \right)} + \frac{5 \pi}{4} + 2 i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)$$
producto
pi / /log(5) / ___\\\ / /log(5) / ___\\\ / / ___\\ --*|pi - atan(2) + I*|------ - log\\/ 5 /||*|-atan(2) + I*|------ - log\\/ 5 /||*\-I*log\-\/ I // 4 \ \ 2 // \ \ 2 //
$$- i \log{\left(- \sqrt{i} \right)} \frac{\pi}{4} \left(- \operatorname{atan}{\left(2 \right)} + \pi + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)\right) \left(- \operatorname{atan}{\left(2 \right)} + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)\right)$$
=
/ ___\
pi*I*(pi - atan(2))*atan(2)*log\-\/ I /
---------------------------------------
4
$$\frac{i \pi \left(\pi - \operatorname{atan}{\left(2 \right)}\right) \log{\left(- \sqrt{i} \right)} \operatorname{atan}{\left(2 \right)}}{4}$$
pi*i*(pi - atan(2))*atan(2)*log(-sqrt(i))/4
Respuesta rápida
[src]
pi
x1 = --
4
$$x_{1} = \frac{\pi}{4}$$
/log(5) / ___\\
x2 = pi - atan(2) + I*|------ - log\\/ 5 /|
\ 2 /
$$x_{2} = - \operatorname{atan}{\left(2 \right)} + \pi + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)$$
/log(5) / ___\\
x3 = -atan(2) + I*|------ - log\\/ 5 /|
\ 2 /
$$x_{3} = - \operatorname{atan}{\left(2 \right)} + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)$$
/ ___\ x4 = -I*log\-\/ I /
$$x_{4} = - i \log{\left(- \sqrt{i} \right)}$$
x4 = -i*log(-sqrt(i))
Respuesta numérica
[src]
x1 = -13.6735193321533
x2 = -5.49778714378214
x3 = -55.7632696012188
x4 = -63.93900178959
x5 = 8.31762924297529
x6 = 32.2013246992954
x7 = -79.6469650575389
x8 = -30.6305283725005
x9 = 113.88273369263
x10 = -539.568538254047
x11 = 89.9990382363099
x12 = 14.6008145501549
x13 = 46.0167410860528
x14 = -48.231038521641
x15 = 63.6172512351933
x16 = -41.9478532144614
x17 = 25.9181393921158
x18 = 3.92699081698724
x19 = 29.0597320457056
x20 = -8.63937979737193
x21 = 98.174770424681
x22 = -40.0553063332699
x23 = 30.3087778181038
x24 = 80.5742602755405
x25 = -71.4712328691678
x26 = -85.9301503647185
x27 = -35.6646679072818
x28 = 2.0344439357957
x29 = 44.7676953136546
x30 = -96.6039740978861
x31 = 58.583111700412
x32 = 38.484510006475
x33 = -77.7544181763474
x34 = -52.621676947629
x35 = 22.776546738526
x36 = 24.0255925109243
x37 = -92.2133356718981
x38 = -27.4889357189107
x39 = -74.6128255227576
x40 = 96.2822235434895
x41 = 54.1924732744239
x42 = -21.2057504117311
x43 = -2.35619449019234
x44 = -87.1791961371168
x45 = 69.9004365423729
x46 = 82.4668071567321
x47 = 110.74114103904
x48 = -33.7721210260903
x49 = -46.3384916404494
x50 = -57.6558164824104
x51 = 60.4756585816035
x52 = -68.329640215578
x53 = 85.6083998103219
x54 = 52.2999263932324
x55 = -43.1968989868597
x56 = -65.1880475619882
x57 = 13.3517687777566
x58 = -70.2221870967695
x59 = 68.0078896611814
x60 = -62.0464549083984
x61 = 88.7499924639117
x62 = 10.2101761241668
x63 = 0.785398163397448
x64 = -90.3207887907066
x65 = -93.4623814442964
x66 = 66.7588438887831
x67 = 19.6349540849362
x68 = -794.03754319482
x69 = 74.2910749683609
x70 = -4.24874137138388
x71 = -18.0641577581413
x72 = 16.4933614313464
x73 = -24.3473430653209
x74 = -84.037603483527
x75 = -19.9567046393328
x76 = 47.9092879672443
x77 = 91.8915851175014
x78 = -26.2398899465124
x79 = -49.4800842940392
x80 = -11.7809724509617
x81 = 76.1836218495525
x82 = 41.6261026600648
x83 = -99.7455667514759
x83 = -99.7455667514759