The teacher will be very surprised to see your correct solution 😉
2 / pi\ 2*sin (x)*cot(x) + sin|4*x - --| + 1 = 0 \ 2 /
-pi x1 = ---- 2
-5*pi x2 = ----- 12
-pi x3 = ---- 12
pi x4 = -- 2
/ ___ ___\ | \/ 2 \/ 6 | |- ----- - -----| /log(2) / ___\\ | 4 4 | x5 = pi + I*|------ - log\\/ 2 /| + atan|---------------| \ 2 / | ___ ___| | \/ 2 \/ 6 | |- ----- + -----| \ 4 4 /
/ ___ ___\ | \/ 6 \/ 2 | |- ----- + -----| /log(2) / ___\\ | 4 4 | x6 = pi + I*|------ - log\\/ 2 /| + atan|---------------| \ 2 / | ___ ___ | | \/ 2 \/ 6 | | ----- + ----- | \ 4 4 /
x6 = atan((-sqrt(6)/4 + sqrt(2)/4)/(sqrt(2)/4 + sqrt(6)/4)) + pi + i*(-log(sqrt(2)) + log(2)/2)
sum
/ ___ ___\ / ___ ___\ | \/ 2 \/ 6 | | \/ 6 \/ 2 | |- ----- - -----| |- ----- + -----| pi 5*pi pi pi /log(2) / ___\\ | 4 4 | /log(2) / ___\\ | 4 4 | - -- - ---- - -- + -- + pi + I*|------ - log\\/ 2 /| + atan|---------------| + pi + I*|------ - log\\/ 2 /| + atan|---------------| 2 12 12 2 \ 2 / | ___ ___| \ 2 / | ___ ___ | | \/ 2 \/ 6 | | \/ 2 \/ 6 | |- ----- + -----| | ----- + ----- | \ 4 4 / \ 4 4 /
=
/ ___ ___\ / ___ ___\ | \/ 2 \/ 6 | | \/ 6 \/ 2 | |- ----- - -----| |- ----- + -----| 3*pi /log(2) / ___\\ | 4 4 | | 4 4 | ---- + 2*I*|------ - log\\/ 2 /| + atan|---------------| + atan|---------------| 2 \ 2 / | ___ ___| | ___ ___ | | \/ 2 \/ 6 | | \/ 2 \/ 6 | |- ----- + -----| | ----- + ----- | \ 4 4 / \ 4 4 /
product
/ / ___ ___\\ / / ___ ___\\ | | \/ 2 \/ 6 || | | \/ 6 \/ 2 || | |- ----- - -----|| | |- ----- + -----|| -pi -5*pi -pi pi | /log(2) / ___\\ | 4 4 || | /log(2) / ___\\ | 4 4 || ----*-----*----*--*|pi + I*|------ - log\\/ 2 /| + atan|---------------||*|pi + I*|------ - log\\/ 2 /| + atan|---------------|| 2 12 12 2 | \ 2 / | ___ ___|| | \ 2 / | ___ ___ || | | \/ 2 \/ 6 || | | \/ 2 \/ 6 || | |- ----- + -----|| | | ----- + ----- || \ \ 4 4 // \ \ 4 4 //
=
6 -385*pi -------- 82944
-385*pi^6/82944
x1 = -20.1585528605345
x2 = -4.45058959258554
x3 = -15.707963267949
x4 = -31.6777259236971
x5 = 42.4115008234622
x6 = 21.9911485751286
x7 = -42.4115008234622
x8 = -29.845130209103
x9 = -21.9911485751286
x10 = -64.1408500107916
x11 = -36.1283155162826
x12 = 28.2743338823081
x13 = 86.3937979737193
x14 = 72.2566310325652
x15 = 30.1069295969022
x16 = -94.2477796076938
x17 = 87.9645943005142
x18 = -95.8185759344887
x19 = -50.2654824574367
x20 = -43.9822971502571
x21 = -14.1371669411541
x22 = 59.6902604182061
x23 = 12.30457122656
x24 = 58.1194640914112
x25 = 499.513231920777
x26 = -39.0081087820733
x27 = -23.5619449019235
x28 = 94.2477796076938
x29 = 50.0036830696375
x30 = 81.6814089933346
x31 = 100.269165527074
x32 = -67.5442420521806
x33 = -80.1106126665397
x34 = 56.2868683768171
x35 = -1.5707963267949
x36 = 92.6769832808989
x37 = 36.1283155162826
x38 = 78.2780169519457
x39 = -28.2743338823081
x40 = 4.71238898038469
x41 = -76.9690200129499
x42 = 39.5317075576716
x43 = 48.6946861306418
x44 = -57.857664703612
x45 = -72.2566310325652
x46 = 37.6991118430775
x47 = 70.6858347057703
x48 = -75.6600230739542
x49 = -45.553093477052
x50 = -89.5353906273091
x51 = 65.9734457253857
x52 = 67.8060414399797
x53 = 73.8274273593601
x54 = -82.9904059323304
x55 = 20.4203522483337
x56 = 34.2957198016886
x57 = -87.9645943005142
x58 = -17.0169602069447
x59 = 15.707963267949
x60 = -6.28318530717959
x61 = -100.792764302673
x62 = 74.0892267471593
x63 = 1.83259571459405
x64 = 80.1106126665397
x65 = 7.85398163397448
x66 = 26.7035375555132
x67 = -9.68657734856853
x68 = -65.9734457253857
x69 = -60.9992573572018
x70 = 43.9822971502571
x71 = 14.1371669411541
x72 = -37.6991118430775
x73 = -59.6902604182061
x74 = 8.11578102177363
x75 = 89.7971900151083
x76 = 17.540558982543
x77 = 96.0803753222878
x78 = 52.0980781720307
x79 = -53.6688744988256
x80 = -42.1497014356631
x81 = 64.4026493985908
x82 = -73.8274273593601
x83 = 6.28318530717959
x84 = 45.8148928648512
x85 = -79.8488132787406
x86 = -97.6511716490827
x87 = -13.8753675533549
x88 = -86.1319985859202
x89 = -51.8362787842316
x90 = -7.85398163397448
x91 = 23.8237442897226
x92 = -35.8665161284835
x92 = -35.8665161284835