`prod_(k=1)^6(sin((2kpi)/7)-icos((2kpi)/7))=`

sum_(m=1)^(32)m[sum_(k=1)^(6)sin2k(pi)/(7)-i cos2k(pi)/(7)]

Find the value of sum_(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wherei=sqrt(-1).

The value of Sigma_(i=1)^(6) (sin .(2pik)/(7)-i cos .(2pik)/(7))

The value of (Sigma_(k=1)^(4))(sin.(2pik)/(5)-icos.(2pik)/(5))^(4) is (where i is iota)

prod_ (k = 1) ^ (6) (sin ((2k pi) / (7)) - i cos ((2k pi) / (7))) =

Find the value ((1+sin((2pi)/9)+icos((2pi)/9))/(1+sin((2pi)/9)-icos((2pi)/9)))^3

Let z_(k) = cos ((2kpi)/(7))+i sin((2kpi)/(7)),"for k" = 1, 2, ..., 6 , then log_(7)|1-z_(1)|+log_(7)|1-z_(2)|+....+ log_(7)|1-z_(6)| is equal to ________

The least positive integral value of k for which [(cos.(2pi)/(7),-sin.(2pi)/(7)),(sin.(2pi)/(7),cos.(2pi)/(7))]^(k)=[(1,0),(0,1)] is