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

If |z-1| =1 and arg (z)=theta , where z ne 0 and theta is acute, then (1-2/z) is equal to

If |z-1| =1 and arg (z)=theta , where z ne 0 and theta is acute, then (1-2/z) is equal to

If cosec theta - cot theta = 1/2, 0 lt theta lt pi/2, then cos theta is equal to

If sintheta + cos theta = (1+ sqrt(3))/2 , where 0 lt theta lt pi/2 , then what is tantheta + cot theta equal to ?

If sin theta + 2 cos theta = 1, where 0 lt theta lt (pi)/(2), then what is 2 sin theta - cos theta equal to ?

If sin theta + 2cos theta = -1 , where 0 lt theta lt pi/2 , what is 2 sin theta - cos theta equal to ?

If rsintheta=3, r=4(1+sintheta) where 0<=theta<=2pi then theta equal to

If z = (1+cos theta + i sin theta)/(sin theta + i(1+cos theta))(0 lt theta lt pi//2) then |z| equals

If z=1+i tan alpha where pi lt alpha lt(3pi)/(2), then what is |z| equal to ?