Question

sin =n-1/n+1 then sec= ?

Answer 1

n+1/n-1
As they are inversely proportional.☺

Answer 2

sec=n+1/2√n

explanation:-
sin =P/H=n-1/n+1
therefore P=n-1
H=n+1
B=?
by Pythagoras theorem
H^2 =B^2 + P^2
H^2 - P^2 = B^2
(n+1)(n+1) - (n-1)(n-1) =B^2
n^2+1+2n - (n^2+1-2n) =B^2
n^2+1+2n -n^2-1+2n=B^2
4n= B^2
B=√4n
B= 2√n

Sec=H/B = n+1/2√n