El profesor se sorprenderá mucho al ver tu solución correcta😉
3*cos(2*x) + 5*cos(x) - 1 ------------------------- = 0 _________ \/ -cot(x)
-pi x1 = ---- 3
pi x2 = -- 3
/ ___\ |4 \/ 7 | x3 = pi + I*log|- - -----| \3 3 /
/ ___\ |4 \/ 7 | x4 = pi + I*log|- + -----| \3 3 /
x4 = pi + i*log(sqrt(7)/3 + 4/3)
suma
/ ___\ / ___\ pi pi |4 \/ 7 | |4 \/ 7 | - -- + -- + pi + I*log|- - -----| + pi + I*log|- + -----| 3 3 \3 3 / \3 3 /
=
/ ___\ / ___\ |4 \/ 7 | |4 \/ 7 | 2*pi + I*log|- - -----| + I*log|- + -----| \3 3 / \3 3 /
producto
/ / ___\\ / / ___\\ -pi pi | |4 \/ 7 || | |4 \/ 7 || ----*--*|pi + I*log|- - -----||*|pi + I*log|- + -----|| 3 3 \ \3 3 // \ \3 3 //
=
/ / ___\\ / / ___\\ 2 | |4 \/ 7 || | |4 \/ 7 || -pi *|pi + I*log|- - -----||*|pi + I*log|- + -----|| \ \3 3 // \ \3 3 // ----------------------------------------------------- 9
-pi^2*(pi + i*log(4/3 - sqrt(7)/3))*(pi + i*log(4/3 + sqrt(7)/3))/9
x1 = -61.7846555205993
x2 = 17.8023583703422
x3 = -7.33038285837618
x4 = 63.8790506229925
x5 = 59.6902604182061 + 0.795365461223906*i
x6 = -26.1799387799149
x7 = 70.162235930172
x8 = -99.4837673636768
x9 = -17.8023583703422
x10 = -51.3126800086333
x11 = 24.0855436775217
x12 = 68.0678408277789
x13 = -13.6135681655558
x14 = 32.4631240870945
x15 = -57.5958653158129
x16 = 74.3510261349584
x17 = -74.3510261349584
x18 = -55.5014702134197
x19 = -30.3687289847013
x20 = -68.0678408277789
x21 = 76.4454212373516
x22 = -95.2949771588904
x23 = 30.3687289847013
x24 = -19.8967534727354
x25 = 61.7846555205993
x26 = -11.5191730631626
x27 = 36.6519142918809
x28 = -70.162235930172
x29 = -24.0855436775217
x30 = 80.634211442138
x31 = -63.8790506229925
x32 = 26.1799387799149
x33 = 19.8967534727354
x33 = 19.8967534727354