If `z_r=cos(pi/(3^r))+isin(pi/(3^r)),r=1,2,3, ,` prove that `z_1z_2z_3 z_oo=idot`

If z_(r)=cos((pi)/(3^(r)))+i sin((pi)/(3^(r))),r=1,2,3 prove that z_(1)z_(2)z_(3)z_(oo)=i

If z_r=cos(pi/3^r)+i sin(pi/3^r) where r in N then z_1.z_2.z_3...oo=

If z_(r)=cos.(2rpi)/(5)+isin.(2rpi)/(5) , r=0,1,2,3,4 , then z_(1)z_(2)z_(3)z_(4)z_(5) equals

If Z_r=cos((2rpi)/5)+isin((2rpi)/5),r=0,1,2,3,4,... then z_1z_2z_3z_4z_5 is equal to

If quad cos((2r pi)/(5))+i sin((2r pi)/(5)),r=0,1,2,3,4 then z_(1)z_(2)z_(3)z_(4)z_(5) is equal to ,r=0,1,2,3,4

If z _(r) = cos ((pi)/(2 ^(r))) + i sin ((pi )/( 2 ^(r))), then z _(1) . z _(2). z _(3)... upto oo equals : a)-3 b)-2 c)-1 d)0

If Z_r =cos ((pi)/(2^r))+isin((pi)/(2^r)) then Z_(1).Z_(2).Z_(3)"…….." upto oo equals

If z=cos((pi)/(3))-isin((pi)/(3)) then z^(2)-z+1=....

If z^(n) = cos"" (n pi)/(3) + isin"" (n pi)/(3), then z_(1), z_(2) …. Z_(6) is