If `z = cos theta + i sin theta , then (z^(2n)-1)/(z^(2n)+1) = , ` (n is an integer)

If z= costheta+isintheta , then the value of (z^(2n)-1)/(z^(2n)+1) (A) i tan n theta (B) tan n theta (C) icot n theta (D) -i tan n theta

If z = 1 -cos theta+ isin theta then |z| is equal to

If z + 1/z = 2costheta, prove that |(z^(2n)-1)//(z^(2n)+1)|=|tanntheta|

If z_1 = cos theta + i sin theta and 1,z_1,(z_1)^2,(z_1)^3,.....,(z_1)^(n-1) are vertices of a regular polygon such that (Im(z_1)^2)/(Re Z_1) = (sqrt5-1)/2 , then the value n is

If z = (3)/( 2 + cos theta + I sin theta) , then prove that z lies on the circle.

If |2 sin theta-cosec theta| ge 1 and theta ne (n pi)/2, n in Z , then

"cot" theta = "sin" 2 theta, theta ne n pi, n in Z, "if" theta equals

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)

Prove that cos theta cos 2 theta cos 4 theta…. Cos 2 ^(n-1) theta = ( sin ( 2 ^(n) theta))/( 2 ^(n) (sin theta)) .

if alpha and beta the roots of z+ (1)/(z) =2 (cos theta + I sin theta ) where 0 lt theta lt pi and i=sqrt(-1) show that |alpha - i |= | beta -i|