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- La ecuación:
-
Ecuación x+9=0
-
Ecuación 3,4+2y=7(y-2,3)
- Ecuación z^3=1+i
-
Ecuación x/(x-2)-7/(x+2)=8/(x^2-4)
- Expresar {x} en función de y en la ecuación:
- -16*x+3*y=17
- 18*x-14*y=-2
- 18*x+19*y=10
- 11*x-6*y=5
-
Expresiones idénticas
- cos5a-cos3a
- coseno de 5a menos coseno de 3a
-
Expresiones semejantes
- cos5a+cos3a
cos5a-cos3a la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
cos(5*a) - cos(3*a) = 0
$$- \cos{\left(3 a \right)} + \cos{\left(5 a \right)} = 0$$
Respuesta rápida
[src]
a1 = 0
$$a_{1} = 0$$
-3*pi
a2 = -----
4
$$a_{2} = - \frac{3 \pi}{4}$$
-pi
a3 = ----
2
$$a_{3} = - \frac{\pi}{2}$$
-pi
a4 = ----
4
$$a_{4} = - \frac{\pi}{4}$$
pi
a5 = --
4
$$a_{5} = \frac{\pi}{4}$$
pi
a6 = --
2
$$a_{6} = \frac{\pi}{2}$$
3*pi
a7 = ----
4
$$a_{7} = \frac{3 \pi}{4}$$
a8 = pi
$$a_{8} = \pi$$
a8 = pi
Suma y producto de raíces
[src]
suma
3*pi pi pi pi pi 3*pi - ---- - -- - -- + -- + -- + ---- + pi 4 2 4 4 2 4
$$\left(\left(\left(\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{2}\right) - \frac{\pi}{4}\right) + \frac{\pi}{4}\right) + \frac{\pi}{2}\right) + \frac{3 \pi}{4}\right) + \pi$$
=
pi
$$\pi$$
producto
-3*pi -pi -pi pi pi 3*pi
0*-----*----*----*--*--*----*pi
4 2 4 4 2 4
$$\pi \frac{3 \pi}{4} \frac{\pi}{2} \frac{\pi}{4} \cdot - \frac{\pi}{4} \cdot - \frac{\pi}{2} \cdot 0 \left(- \frac{3 \pi}{4}\right)$$
=
0
$$0$$
0
Respuesta numérica
[src]
a1 = -29.845130209103
a2 = -72.256631022884
a3 = -25.9181393921158
a4 = -84.037603483527
a5 = 29.845130209103
a6 = -55.7632696012188
a7 = 95.8185759344887
a8 = 54.9778714378214
a9 = 87.9645943340781
a10 = 65.9734457519451
a11 = -11.7809724509617
a12 = 76.1836218495525
a13 = -6.28318541314278
a14 = -87.9645943605169
a15 = -14.1371669411541
a16 = -77.7544181763474
a17 = 42.4115008234622
a18 = 69.9004365423729
a19 = 32.2013246992954
a20 = 68.329640215578
a21 = -85.6083998103219
a22 = 22.776546738526
a23 = -3.92699081698724
a24 = -65.9734457660258
a25 = 90.3207887907066
a26 = -81.6814090353974
a27 = 100.530965006416
a28 = -80.1106126665397
a29 = -41.6261026600648
a30 = -44.7676953136546
a31 = -18.0641577581413
a32 = -62.0464549083984
a33 = 28.2743338654485
a34 = -19.6349540849362
a35 = 0.0
a36 = 20.4203522483337
a37 = -47.9092879672443
a38 = 72.2566310277346
a39 = -15.7079632956883
a40 = -43.9822971750271
a41 = 24.3473430653209
a42 = -65.1880475619882
a43 = 47.9092879672443
a44 = -94.2477795793487
a45 = -73.8274273593601
a46 = 6.28318528474291
a47 = -36.1283155162826
a48 = 78.5398164977389
a49 = 54.1924732744239
a50 = 36.1283155162826
a51 = -53.4070749236107
a52 = 21.9911485850882
a53 = 7.85398163397448
a54 = 15.707963093967
a55 = 14.1371669411541
a56 = 86.3937979737193
a57 = 84.037603483527
a58 = 3.92699081698724
a59 = 51.8362787842316
a60 = -51.8362787842316
a61 = 10.2101761241668
a62 = -12.5663706330027
a63 = -69.9004365423729
a64 = -1.5707963267949
a65 = -33.7721210260903
a66 = -28.2743339358627
a67 = 64.4026493985908
a68 = 46.3384916404494
a69 = -63.6172512351933
a70 = -95.8185759344887
a71 = 80.1106126665397
a72 = 50.2654824464402
a73 = -91.8915851175014
a74 = 2.35619449019234
a75 = -59.6902604557557
a76 = 73.8274273593601
a77 = -7.85398163397448
a78 = 88.7499924639117
a79 = 25.9181393921158
a80 = 40.0553063332699
a81 = 91.8915851175014
a82 = 56.5486679698067
a83 = -40.0553063332699
a84 = -21.9911485865625
a85 = 94.247779609354
a86 = -50.2654824738929
a87 = 98.174770424681
a88 = 18.0641577581413
a89 = -37.6991118758531
a90 = 37.6991116464517
a91 = 62.0464549083984
a92 = -58.1194640914112
a93 = 58.1194640914112
a94 = 43.9822971689995
a95 = -99.7455667514759
a96 = -29.0597320457056
a96 = -29.0597320457056