If n is integer and ` z = cis theta, ( theta ne ( 2n + 1) pi//2)`, then show that
` (z ^(2n) -1)/(z^(2n) +1) = i tan n theta `.

If n is an integer and z=cis theta,(theta ne (2n+1)pi/2), then show that (z^(2n)-1)/(z^(2n)+1)=i tan n theta) .

If z+1/z=2cos theta, prove that |(z^(2n)-1)/(z^(2n)+1)|=|tan n theta|

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

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

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

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

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

If n is an integer then show that (1 + cos theta + i sin theta)^(n) + (1 + cos theta - i sin theta )^(n) = 2^(n+1) cos ^(n) ( theta//2) cos ((n theta)/2) .