Evaluate the following residues a Res 24 21 d Res sin 0 COS b Res 2i e c Res 1 1 1 22 41 Res co 0 f Res cot z 0 Solution a By rule 4 b By rule 4 c By rule 4 d By rule 1 Res Res 1 z 4 1 2 4 Res F 25 2i 21 sin z 1 22 1 22 1 2 g Res 1 Log z h i z 2i 2 2i 1 524 Res 0 Res w 1 2 1 sin z 1 4i 1 4i 1 5 i 4 i 4