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

simplify ((e^(i theta)-e^(-i theta)))/(i(e^(i theta)+e^(-i theta))) where e^(itheta)=a+ib

In argand plane |z| represent the distance of a point z from the origin. In general |z_(1)-z_(2)| represent the distance between two points z_(1) and z_(2) . Also for a general moving point z in argand plane, if arg(z)=theta , then z=|z|e^(i theta) , where e^(i theta)=cos theta+i sin theta . If z_(1)=4e^(i pi//3) and z_(2)=2e^(i5pi//6) , then |z_(1)-z_(2)| equals

Let P(e^(i theta_(1))),Q(e^(i theta_(2))) and R(e^(i theta_(3))) be the vertices of a triangle PQR in the Argand Plane.Theorthocenter of the triangle PQR is

If 1+ sqrt 3 i = r e^(i theta) then, theta =

If z= re^(i theta ) , " then " |e^(iz) | is equal to a)1 b) e^(2r) sin theta c) e^( r sin theta) d) e^(-r sin theta)

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

((1+i tan theta)/(1-i tan theta))^(n)-(1+i tan n theta)/(1-i tan n theta)=

If f(theta)=det[[1,1,-11,e^(i theta),11,-1,-e^(-i theta)]]