1ma2176 a5 Complex Numbers 1. Find the square roots of 512i−. 2. Simplify ()513i−+. 3. Find the modulus and argument of ( )21131iii+−+. 4. If ω( )1≠is a complex cube root of unity, show that (a) ( )( )224ωω+− =. (b) ( ) ( )66252225729++==. 5. Find the modulus and argument of 1cossinossiniiθ−−when 0π<<. What are the modulus and argument when 2θπ<<? 6. Solve the equation 4zi+=in the set of all complex numbers. 7. Solve the equation 64210zzz+++=. 8. Show that (a) 24cos52sin16sincos=−+. (b) 4364sincoscos73cos33cosθθθθθ=−−+. 9. (a) Solve the equation
This is the end of the preview. Sign up
access the rest of the document.
This note was uploaded on 11/09/2009 for the course ENG 91301 taught by Professor Lui during the Spring '08 term at Hong Kong Institute of Vocational Education.