Question

All Values of   . Find all values and graph some of them in the complex plane.

Thanks in advance.

Answer 1

bacz). let 2=2+2y tano a= reosco, y = rfno s nyert 2 = rose firme o -kan" (S/M). 2= reasotino z = reio In 12) = ln crero) - Inot locio - Incr)+io - Inconti (9.1970) nez = In ca444) + iftan'('t) +2010) Incz) = (74)+ i (2nT+ tamilcyon)) | ln (2) = { ln enty) +i (2nm + tan" (ya) 1, nez - D @ Inles = ln (@+icos) from 0 Inte) = { In (@to) ti (2011 + tani! (0)) - 4 Alnce) +i (2nii + o) Ilocos = 1+i (2017) 24 n=0 then lnce) = ltico) n=1 then loce) - Iti (201) azo, y=0 (10) ® -7)= ln (+7+ico)) 13-7 y=0 from epuchon D 106 7) = 4n (6-7)+7(0)) + ? (2n 11+ tanille) == In 1977 i (2011+0)

= ln (7) +12011 In 1-7)= ln (7) +i ent , n=0,1,2,3,-- put nao = ln (-7)= ln (7) +20) en(-a)= ln (7) in the principal value of CCP), 0) in (4+3i): 7434, Y=3 2+4=16+9=25 from quit o In (4+31) = 4(16+9) +ė (2n1+tan|)) = 625 +i (2nn + teñ' (34) Insti (2 niit tant (3/4)). n=011, 21, Generel o en cutii) _ besti (2011 + tan" (3/4)). ped n=o, Rn (4+31) = In(s) +i an (3/4) in the principal vele ſ Clocs), tan' (32)