The teacher will be very surprised to see your correct solution 😉
25 cot (x) - cot(5*x) = 1
x1 = -95.6614963018092
x2 = -7.69690200129499
x3 = -17.7499984975592
x4 = 38.4690355940821
x5 = 4.24115007756931
x6 = -57.9623844587317
x7 = 36.2853951489621
x8 = -71.4867072815607
x9 = -93.4778558566892
x10 = -20.2632726156542
x11 = -99.7610411638688
x12 = -5.51326155617502
x13 = 82.4513327443392
x14 = -79.9535330338602
x15 = -73.6703477266806
x16 = 48.2234472278264
x17 = 1.72787595947439
x18 = 54.506632535006
x19 = 26.8606171881927
x20 = -26.5464579228338
x21 = 80.2676922992192
x22 = -51.6791991515521
x23 = -83.7234442229449
x24 = 70.214595802955
x25 = 98.4889296852631
x26 = -49.4955587064321
x27 = 26.2322986526979
x28 = -35.9712358836031
x29 = -61.7322956478164
x30 = -46.0243323798674
x31 = -48.5376064979623
x32 = -90.0066295301245
x33 = 92.2057443780835
x34 = -29.6880505764235
x35 = -27.5044101313036
x36 = 16.4778870189535
x37 = -68.0154809549959
x38 = 42.5685804561417
x39 = 20.5774318810131
x40 = 64.5597290312703
x41 = -39.7411470726878
x42 = -77.7698925887403
x43 = 60.4601841692106
x44 = 58.2765437240907
x45 = 30.0022098417825
x46 = -24.0331838047388
x47 = 8.01106126665397
x48 = 51.9933584169111
x49 = 95.9756555671682
x50 = 76.4977811101346
x51 = -13.9800873084746
x52 = -55.7787440136117
x53 = 14.2942465738336
x54 = 73.9845069920396
x55 = -2.04203522961028
x56 = -4.5553093477052
x57 = 86.5508776063988
x57 = 86.5508776063988