The complex number z has argZ = `theta` ,`0 lt theta lt (pi)/(2)` and satisfy the equation `|z-3i|=3`. Then value of `( cot theta-(6)/(z)) = `

Let z be a complex number having the argument theta,0

Let z be a complex number having argument greater than 0 but less than 'pi/2' and satisfying equation (z-5i)(barz+5i)=25 then cot theta-10/z is equal to

If tan 6 theta = cot 2 theta , where 0 lt 6 theta lt ( pi )/(2) , then what is the value off sec 4 theta ?

if 7 cos^(2) theta + 3 sin^2 theta = 4 and 0 lt theta lt (pi)/(2) , then find the value of cot theta

If pi lt theta lt 2pi and z=1+costheta+isintheta , then find the value of |z|.

If sin theta = (5)/(13), 0 lt theta lt (pi)/(2) then find the value of following. cos 3 theta

If |z-i|=1 and arg (z) =theta where 0 lt theta lt pi/2 , then cottheta-2/z equals

If 3 sin 2 theta = 2 sin 3 theta and 0 lt theta lt pi , then sin theta =