If `z= re^(i theta)" then "|e^(iz)|=`

(1 + e^(-i theta))/(1 + e^(i theta)) =

If z=r(cos theta+ isin theta) , then the value of (z)/(bar z)+(barz)/(z) is

choose the correct pair of statement : (i) (costheta+isintheta)^(n)=cosntheta+isinntheta , x is an integer (ii) (sintheta+icostheta)^(n)=sinntheta+icosthetantheta , n is an integer (iii) If z=costheta+isintheta , then z^(-1)=costheta-isintheta (iv)(z+barz)/(2)=Re(z)

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

If z = 1 - cos theta + i sin theta , then |z| =

zo is one of the roots of the equation z^n cos theta0+ z^(n-1) cos theta2 +. . . . . . + z cos theta(n-1) + cos theta(n) = 2, where theta in R , then (A) |z0| 1/2 (C) |z0| = 1/2

If z= e^((2pi i)/(3)) , then 1+z+3z^(2)+2z^(3)+2z^(4)+3z^(5) is equal to

If z=i^(i^(i)) where i=sqrt-1 then |z| is equal to

The value of e^(I theta) - e^(-itheta) is …….

If z_(k)=e^(i theta_k) for k= 1, 2, 3, 4 where i^(2)= -1 , and if |sum_(k=1)^(4) (1)/(z_k)|=1 , then |sum_(k=1)^(4)| is equal to