(i) if z = x+iy and z'= 1+1/z, obtain an expression for z' in the form x'+iy', and hence express each of x' and y' in terms of x and y.
(ii) find an algebraic relation between x' and y' when z has constant @
dont worry too much about (i) but im really confused about (ii)
i had a go...
say you got
factorise z^5-1 and then
prove : cos(2pi/5) + cos(4pi/5) = -1/2
instead of using the long method of equating the co-efficients on both sides to prove the second part
i found this other method in some other textbook
where cos(2kpi/n) =[ w^k+w^(n-k) ]/2
anyway whats the...
a friend sent me this:
part (i)
show that:
sum of series
n
E (z+z^2+......z^k) = nz/(1-z) - z^2(1-z^n)/(1-z)^2
k=1
part (ii)
let z= cos@+isin@, where 0<@<2pi
deduce that
n
E (sin@+sin2@...........+sink@)
k=1
= ((n+1)sin@ - sin(n+1)@)/4sin^2 (@/2)
you may...
yeah its coming soonish
so whats everyone gona do?
study like crazy?
i got exams week 2 back as well
can someone share their holiday studying info with me
:)
i do business, eco and 4 maths and english advanced at school
say i get band 6 for eco, bus and maths
what would be a lowest score i can get in english to still be 99+?
and one more thing
i've heard some bad things about business studies from heaps of people, but my teacher insists that...