El profesor se sorprenderá mucho al ver tu solución correcta😉
2 sin (x) - sin(x) = 2*cos(x) - 1
/ / __________________________________________________________________________________________________________________________________\\ / / __________________________________________________________________________________________________________________________________\\ | | / _______________ || | | / _______________ || | | / / ______ || | | / / ______ || | | / 22 / 4 \/ 1299 2 2 || | | / 22 / 4 \/ 1299 2 2 || | | / - -- - 2*3 / -- + -------- - ---------------------------------------------------------------------- + ----------------------- || | | / - -- - 2*3 / -- + -------- - ---------------------------------------------------------------------- + ----------------------- || | | _________________________________________________________ / 9 \/ 27 243 _________________________________________________________ _______________ || | | _________________________________________________________ / 9 \/ 27 243 _________________________________________________________ _______________ || | | / _______________ / / _______________ / ______ || | | / _______________ / / _______________ / ______ || | | / / ______ / / / ______ / 4 \/ 1299 || | | / / ______ / / / ______ / 4 \/ 1299 || | | / 11 / 4 \/ 1299 2 / / 11 / 4 \/ 1299 2 27*3 / -- + -------- || | | / 11 / 4 \/ 1299 2 / / 11 / 4 \/ 1299 2 27*3 / -- + -------- || | | / - -- + 2*3 / -- + -------- - ----------------------- / 27* / - -- + 2*3 / -- + -------- - ----------------------- \/ 27 243 || | | / - -- + 2*3 / -- + -------- - ----------------------- / 27* / - -- + 2*3 / -- + -------- - ----------------------- \/ 27 243 || | | / 9 \/ 27 243 _______________ / / 9 \/ 27 243 _______________ || | | / 9 \/ 27 243 _______________ / / 9 \/ 27 243 _______________ || | | / / ______ / / / ______ || | | / / ______ / / / ______ || | | / / 4 \/ 1299 / / / 4 \/ 1299 || | | / / 4 \/ 1299 / / / 4 \/ 1299 || | | / 27*3 / -- + -------- / / 27*3 / -- + -------- || | | / 27*3 / -- + -------- / / 27*3 / -- + -------- || | | 1 \/ \/ 27 243 \/ \/ \/ 27 243 || | | 1 \/ \/ 27 243 \/ \/ \/ 27 243 || x1 = - 2*re|atan|- - + ------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------|| - 2*I*im|atan|- - + ------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------|| \ \ 6 2 2 // \ \ 6 2 2 //
/ / __________________________________________________________________________________________________________________________________ \\ / / __________________________________________________________________________________________________________________________________ \\ | | / _______________ || | | / _______________ || | | / / ______ || | | / / ______ || | | / 22 / 4 \/ 1299 2 2 || | | / 22 / 4 \/ 1299 2 2 || | | / - -- - 2*3 / -- + -------- - ---------------------------------------------------------------------- + ----------------------- || | | / - -- - 2*3 / -- + -------- - ---------------------------------------------------------------------- + ----------------------- || | | / 9 \/ 27 243 _________________________________________________________ _______________ _________________________________________________________|| | | / 9 \/ 27 243 _________________________________________________________ _______________ _________________________________________________________|| | | / / _______________ / ______ / _______________ || | | / / _______________ / ______ / _______________ || | | / / / ______ / 4 \/ 1299 / / ______ || | | / / / ______ / 4 \/ 1299 / / ______ || | | / / 11 / 4 \/ 1299 2 27*3 / -- + -------- / 11 / 4 \/ 1299 2 || | | / / 11 / 4 \/ 1299 2 27*3 / -- + -------- / 11 / 4 \/ 1299 2 || | | / 27* / - -- + 2*3 / -- + -------- - ----------------------- \/ 27 243 / - -- + 2*3 / -- + -------- - ----------------------- || | | / 27* / - -- + 2*3 / -- + -------- - ----------------------- \/ 27 243 / - -- + 2*3 / -- + -------- - ----------------------- || | | / / 9 \/ 27 243 _______________ / 9 \/ 27 243 _______________ || | | / / 9 \/ 27 243 _______________ / 9 \/ 27 243 _______________ || | | / / / ______ / / ______ || | | / / / ______ / / ______ || | | / / / 4 \/ 1299 / / 4 \/ 1299 || | | / / / 4 \/ 1299 / / 4 \/ 1299 || | | / / 27*3 / -- + -------- / 27*3 / -- + -------- || | | / / 27*3 / -- + -------- / 27*3 / -- + -------- || | |1 \/ \/ \/ 27 243 \/ \/ 27 243 || | |1 \/ \/ \/ 27 243 \/ \/ 27 243 || x2 = 2*re|atan|- + ------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------|| + 2*I*im|atan|- + ------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------|| \ \6 2 2 // \ \6 2 2 //
/ __________________________________________________________________________________________________________________________________\ | / _______________ | | / / ______ | | / 22 / 4 \/ 1299 2 2 | | / - -- - 2*3 / -- + -------- + ----------------------- + ---------------------------------------------------------------------- | | _________________________________________________________ / 9 \/ 27 243 _______________ _________________________________________________________ | | / _______________ / / ______ / _______________ | | / / ______ / / 4 \/ 1299 / / ______ | | / 11 / 4 \/ 1299 2 / 27*3 / -- + -------- / 11 / 4 \/ 1299 2 | | / - -- + 2*3 / -- + -------- - ----------------------- / \/ 27 243 27* / - -- + 2*3 / -- + -------- - ----------------------- | | / 9 \/ 27 243 _______________ / / 9 \/ 27 243 _______________ | | / / ______ / / / ______ | | / / 4 \/ 1299 / / / 4 \/ 1299 | | / 27*3 / -- + -------- / / 27*3 / -- + -------- | |1 \/ \/ 27 243 \/ \/ \/ 27 243 | x3 = 2*atan|- + ------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------| \6 2 2 /
/ __________________________________________________________________________________________________________________________________\ | / _______________ | | / / ______ | | / 22 / 4 \/ 1299 2 2 | | / - -- - 2*3 / -- + -------- + ----------------------- + ---------------------------------------------------------------------- | | _________________________________________________________ / 9 \/ 27 243 _______________ _________________________________________________________ | | / _______________ / / ______ / _______________ | | / / ______ / / 4 \/ 1299 / / ______ | | / 11 / 4 \/ 1299 2 / 27*3 / -- + -------- / 11 / 4 \/ 1299 2 | | / - -- + 2*3 / -- + -------- - ----------------------- / \/ 27 243 27* / - -- + 2*3 / -- + -------- - ----------------------- | | / 9 \/ 27 243 _______________ / / 9 \/ 27 243 _______________ | | / / ______ / / / ______ | | / / 4 \/ 1299 / / / 4 \/ 1299 | | / 27*3 / -- + -------- / / 27*3 / -- + -------- | |1 \/ \/ 27 243 \/ \/ \/ 27 243 | x4 = 2*atan|- + ------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------| \6 2 2 /
x4 = 2*atan(-sqrt(-22/9 - 2*(4/27 + sqrt(1299)/243)^(1/3) + 2/(27*(4/27 + sqrt(1299)/243)^(1/3)) + 2/(27*sqrt(-11/9 - 2/(27*(4/27 + sqrt(1299)/243)^(1/3)) + 2*(4/27 + sqrt(1299)/243)^(1/3))))/2 + sqrt(-11/9 - 2/(27*(4/27 + sqrt(1299)/243)^(1/3)) + 2*(4/27 + sqrt(1299)/243)^(1/3))/2 + 1/6)
x1 = 1.10194069645862
x2 = -13.0833817091224
x3 = 49.7484713626735
x4 = 7.3851260036382
x5 = -31.9329376306611
x6 = -61.7299123753372
x7 = -93.1458389112352
x8 = 43.4652860554939
x9 = 38.8010525395361
x10 = 95.3497203041524
x11 = 68.5980272842123
x12 = -6.80019640194277
x13 = -99.4290242184148
x14 = -68.0130976825168
x15 = -57.0656788593795
x16 = 37.1821007483143
x17 = -30.3139858394393
x18 = 100.01395382011
x19 = 70.2169790754341
x20 = -80.579468296876
x21 = 62.3148419770327
x22 = 32.5178672323566
x23 = 81.1643978985714
x24 = 12.049359519596
x25 = 20218.7733074091
x26 = 82.7833496897932
x27 = -82.1984200880978
x28 = 74.8812125913918
x29 = -32074.5590524553
x30 = 18.3325448267756
x31 = 63.9337937682545
x32 = 30.8989154411347
x33 = 45.0842378467157
x34 = -11.4644299179006
x35 = -0.517011094763188
x36 = 87.447583205751
x37 = 26.234681925177
x38 = 56.0316566698531
x39 = 13.6683113108178
x40 = 24.6157301339552
x41 = -86.8626536040556
x42 = -63.3488641665591
x43 = -88.4816053952774
x44 = -24.0308005322597
x45 = -5.18124461072097
x46 = -17.7476152250801
x47 = 93.7307685129306
x48 = -94.764790702457
x49 = -69.6320494737386
x50 = 5974.79221603302
x51 = -50.7824935521999
x52 = -75.9152347809182
x53 = -36.5971711466189
x54 = -42.8803564537985
x55 = 57.6506084610749
x56 = -49.1635417609781
x57 = -55.4467270681577
x58 = 51.3674231538953
x59 = -19.3665670163019
x60 = -25.6497523234815
x61 = -38.2161229378407
x62 = 89.0665349969728
x63 = 5.7661742124164
x64 = -44.4993082450203
x65 = 19.9514966179974
x66 = 338.774995492934
x67 = -74.2962829896964
x68 = 76.5001643826137
x68 = 76.5001643826137