El profesor se sorprenderá mucho al ver tu solución correcta😉
___ / 2 2 \ ___ 2*(tan(x) - cot(x)) = \/ 3 *\tan (x) + cot (x)/ - 2*\/ 3
a*w^2 + b*w + c = 0
D = b^2 - 4 * a * c =
(-2)^2 - 4 * (-sqrt(3)) * (-1 + 2*sqrt(3) + 2*tan(x) - sqrt(3)*tan(x)^2) = 4 + 4*sqrt(3)*(-1 + 2*sqrt(3) + 2*tan(x) - sqrt(3)*tan(x)^2)
w1 = (-b + sqrt(D)) / (2*a)
w2 = (-b - sqrt(D)) / (2*a)
suma
pi pi pi pi - -- - -- + -- + -- 4 6 4 3
=
pi -- 6
producto
-pi -pi pi pi ----*----*--*-- 4 6 4 3
=
4 pi --- 288
pi^4/288
-pi x1 = ---- 4
-pi x2 = ---- 6
pi x3 = -- 4
pi x4 = -- 3
x4 = pi/3
x1 = 55.7632696012188
x2 = -33.7721210260903
x3 = -43.1968989868597
x4 = -47.9092879672443
x5 = 46.3384916404494
x6 = 16.4933614313464
x7 = 90.3207887907066
x8 = 70.162235930172
x9 = 60.4756585816035
x10 = -99.7455667514759
x11 = -8.37758040957278
x12 = -96.342174710087
x13 = -85.6083998103219
x14 = -55.7632696012188
x15 = 32.2013246992954
x16 = 18.0641577581413
x17 = 35.6047167406843
x18 = -46.0766922526503
x19 = 63.8790506229925
x20 = -91.8915851175014
x21 = 41.8879020478639
x22 = -82.2050077689329
x23 = 48.1710873550435
x24 = -13.3517687777566
x25 = 13.6135681655558
x26 = -3.92699081698724
x27 = -71.4712328691678
x28 = -97.9129710368819
x29 = 56.025068989018
x30 = -75.9218224617533
x31 = 40.0553063332699
x32 = -25.9181393921158
x33 = -31.9395253114962
x34 = 5.75958653158129
x35 = 2.35619449019234
x36 = 85.870199198121
x37 = 96.6039740978861
x38 = -11.7809724509617
x39 = -16.2315620435473
x40 = 4.18879020478639
x41 = 82.4668071567321
x42 = -74.3510261349584
x43 = 54.1924732744239
x44 = -17.8023583703422
x45 = -49.4800842940392
x46 = 34.0339204138894
x47 = -2.0943951023932
x48 = 12.0427718387609
x49 = 49.7418836818384
x50 = 84.037603483527
x51 = 88.7499924639117
x52 = -77.7544181763474
x53 = 24.3473430653209
x54 = -87.1791961371168
x55 = 27.7507351067098
x56 = -24.0855436775217
x57 = 22.776546738526
x58 = 26.1799387799149
x59 = 44.7676953136546
x60 = -9.94837673636768
x61 = 19.8967534727354
x62 = 78.0162175641465
x63 = -57.3340659280137
x64 = -90.0589894029074
x65 = 76.1836218495525
x66 = 8.63937979737193
x67 = -69.9004365423729
x68 = 68.329640215578
x69 = -63.6172512351933
x70 = 98.174770424681
x71 = -19.6349540849362
x72 = -52.3598775598299
x73 = -93.4623814442964
x74 = -41.6261026600648
x75 = -27.4889357189107
x76 = -60.2138591938044
x77 = -61.7846555205993
x78 = 30.6305283725005
x79 = 93.7241808320955
x80 = 10.2101761241668
x81 = -68.0678408277789
x82 = 100.007366139275
x83 = 74.6128255227576
x84 = 81.1578102177363
x85 = -30.3687289847013
x86 = -53.9306738866248
x87 = -65.1880475619882
x88 = -79.3252145031423
x89 = -38.2227106186758
x90 = 52.621676947629
x91 = -83.7758040957278
x92 = 71.733032256967
x93 = 38.484510006475
x94 = 92.1533845053006
x95 = -5.49778714378214
x96 = -35.3429173528852
x97 = 62.3082542961976
x98 = -39.7935069454707
x99 = -21.2057504117311
x100 = 66.7588438887831
x100 = 66.7588438887831