The teacher will be very surprised to see your correct solution 😉
/ x\
pi*cos|pi*-|
\ 2/
-2*pi*sin(pi*x) = ------------
2
x1 = -9.92021382465046
x2 = -68.0797861753495
x3 = 47.9202138246505
x4 = 71.9202138246505
x5 = -89.9202138246505
x6 = -76.0797861753495
x7 = 74.0797861753495
x8 = 10.0797861753495
x9 = -13.9202138246505
x10 = 18.0797861753495
x11 = 14.0797861753495
x12 = -100.07978617535
x13 = -85.9202138246505
x14 = 78.0797861753495
x15 = 51.9202138246505
x16 = -20.0797861753495
x17 = -25.9202138246505
x18 = -16.0797861753495
x19 = 79.9202138246505
x20 = 23.9202138246505
x21 = -64.0797861753495
x22 = 11.9202138246505
x23 = -77.9202138246505
x24 = 3.92021382465046
x25 = 59.9202138246505
x26 = 6.07978617534954
x27 = -72.0797861753495
x28 = 91.9202138246505
x29 = 95.9202138246505
x30 = 55.9202138246505
x31 = -17.9202138246505
x32 = -5.92021382465046
x33 = -61.9202138246505
x34 = 70.0797861753495
x35 = -36.0797861753495
x36 = -45.9202138246505
x37 = 19.9202138246505
x38 = 54.0797861753495
x39 = -96.0797861753495
x40 = -8.07978617534954
x41 = -80.0797861753495
x42 = -88.0797861753495
x43 = 22.0797861753495
x44 = 50.0797861753495
x45 = -92.0797861753495
x46 = -52.0797861753495
x47 = -21.9202138246505
x48 = 99.9202138246505
x49 = -53.9202138246505
x50 = 67.9202138246505
x51 = -24.0797861753495
x52 = -65.9202138246505
x53 = 62.0797861753495
x54 = -97.9202138246505
x55 = 27.9202138246505
x56 = -32.0797861753495
x57 = 34.0797861753495
x58 = 15.9202138246505
x59 = -29.9202138246505
x60 = -33.9202138246505
x61 = -12.0797861753495
x62 = 86.0797861753495
x63 = -73.9202138246505
x64 = 75.9202138246505
x65 = 30.0797861753495
x66 = 42.0797861753495
x67 = -60.0797861753495
x68 = -56.0797861753495
x69 = 7.92021382465046
x70 = -37.9202138246505
x71 = 82.0797861753495
x72 = 66.0797861753495
x73 = 38.0797861753495
x74 = 39.9202138246505
x75 = 98.0797861753495
x76 = 58.0797861753495
x77 = -41.9202138246505
x78 = -44.0797861753495
x79 = -28.0797861753495
x80 = -40.0797861753495
x81 = 83.9202138246505
x82 = -1.92021382465046
x83 = -49.9202138246505
x84 = -81.9202138246505
x85 = 31.9202138246505
x86 = -48.0797861753495
x87 = -93.9202138246505
x88 = -4.07978617534954
x89 = 2.07978617534954
x90 = 87.9202138246505
x91 = -84.0797861753495
x92 = 46.0797861753495
x93 = 63.9202138246505
x94 = 90.0797861753495
x95 = 94.0797861753495
x96 = 43.9202138246505
x97 = 35.9202138246505
x98 = -57.9202138246505
x99 = -0.0797861753495365
x100 = -69.9202138246505
x101 = 26.0797861753495
x101 = 26.0797861753495