[" Q.No.(3) If "Z=1/(1-cos epsilon-i sin€)," then "Re(z)=],[" O "0],[" () "cot/2]

If z=(1)/(1-cos theta- isintheta) then Re(z)=....

If z = (1)/(1 - cos theta - i sin theta), the Re (z)=

If z=(1)/(1-cos theta-i sin theta), then Re(z) is a.0 b.(1)/(2) c.cot((theta)/(2)) d.(1)/(2)cot((theta)/(2))

If (1+i)^2 /(3 - i) , then Re(z) =

If (1+i)^2 /(3 - i) =Z , then Re(z) =

If z=1/(1-cos theta-i sin theta), then Re(z) is a. 0 b. 1/2 c. cot(theta/2) d. 1/2 cot (theta/2)

If z= cos (pi)/(3) - i sin (pi)/(3) then z^(2)-z+1 is equal to

if z= (3-4i)/((4-2i)(1+i) then find Re(z).

If log_(1/3) |z+1| > log_(1/3) |z-1| then prove that Re(z) < 0.

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