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3 3 cos (x) = sin (x)
suma
/ / ___\\ / / ___\\ / / ___\\ / / ___\\ pi | |1 I*\/ 3 || | |1 I*\/ 3 || | |1 I*\/ 3 || | |1 I*\/ 3 || -- + - re|atan|- - -------|| - I*im|atan|- - -------|| + - re|atan|- + -------|| - I*im|atan|- + -------|| 4 \ \2 2 // \ \2 2 // \ \2 2 // \ \2 2 //
=
/ / ___\\ / / ___\\ / / ___\\ / / ___\\ | |1 I*\/ 3 || | |1 I*\/ 3 || pi | |1 I*\/ 3 || | |1 I*\/ 3 || - re|atan|- + -------|| - re|atan|- - -------|| + -- - I*im|atan|- + -------|| - I*im|atan|- - -------|| \ \2 2 // \ \2 2 // 4 \ \2 2 // \ \2 2 //
producto
/ / / ___\\ / / ___\\\ / / / ___\\ / / ___\\\ pi | | |1 I*\/ 3 || | |1 I*\/ 3 ||| | | |1 I*\/ 3 || | |1 I*\/ 3 ||| --*|- re|atan|- - -------|| - I*im|atan|- - -------|||*|- re|atan|- + -------|| - I*im|atan|- + -------||| 4 \ \ \2 2 // \ \2 2 /// \ \ \2 2 // \ \2 2 ///
=
/ / / ___\\ / / ___\\\ / / / ___\\ / / ___\\\ | | |1 I*\/ 3 || | |1 I*\/ 3 ||| | | |1 I*\/ 3 || | |1 I*\/ 3 ||| pi*|I*im|atan|- + -------|| + re|atan|- + -------|||*|I*im|atan|- - -------|| + re|atan|- - -------||| \ \ \2 2 // \ \2 2 /// \ \ \2 2 // \ \2 2 /// ------------------------------------------------------------------------------------------------------ 4
pi*(i*im(atan(1/2 + i*sqrt(3)/2)) + re(atan(1/2 + i*sqrt(3)/2)))*(i*im(atan(1/2 - i*sqrt(3)/2)) + re(atan(1/2 - i*sqrt(3)/2)))/4
pi x1 = -- 4
/ / ___\\ / / ___\\ | |1 I*\/ 3 || | |1 I*\/ 3 || x2 = - re|atan|- - -------|| - I*im|atan|- - -------|| \ \2 2 // \ \2 2 //
/ / ___\\ / / ___\\ | |1 I*\/ 3 || | |1 I*\/ 3 || x3 = - re|atan|- + -------|| - I*im|atan|- + -------|| \ \2 2 // \ \2 2 //
x3 = -re(atan(1/2 + sqrt(3)*i/2)) - i*im(atan(1/2 + sqrt(3)*i/2))
x1 = -115.453530019425
x2 = -46.3384916404494
x3 = -90.3207887907066
x4 = -36.9137136796801
x5 = -77.7544181763474
x6 = 3.92699081698724
x7 = -18.0641577581413
x8 = -84.037603483527
x9 = 54.1924732744239
x10 = 126.449104306989
x11 = 19.6349540849362
x12 = -633.816317861741
x13 = -756.338431351743
x14 = 38.484510006475
x15 = -11.7809724509617
x16 = 69.9004365423729
x17 = 88.7499924639117
x18 = -62.0464549083984
x19 = -2.35619449019234
x20 = 107.59954838545
x21 = 32.2013246992954
x22 = -49.4800842940392
x23 = -5.49778714378214
x24 = 57.3340659280137
x25 = 10.2101761241668
x26 = 60.4756585816035
x27 = -71.4712328691678
x28 = -27.4889357189107
x29 = 76.1836218495525
x30 = 82.4668071567321
x31 = -80.8960108299372
x32 = 63.6172512351933
x33 = -24.3473430653209
x34 = -335.36501577071
x35 = -14450.5408083497
x36 = 16.4933614313464
x37 = -55.7632696012188
x38 = -93.4623814442964
x39 = 85.6083998103219
x40 = -40.0553063332699
x41 = 29.0597320457056
x42 = 41.6261026600648
x43 = 25.9181393921158
x44 = 98.174770424681
x45 = -33.7721210260903
x46 = 47.9092879672443
x47 = -68.329640215578
x48 = 91.8915851175014
x49 = -99.7455667514759
x50 = 51.0508806208341
x50 = 51.0508806208341