Question

prove that (tan N+cot N)^2 = sec^2 N+csc^2N

Answer 1

(tan N+cot N)^2
=tan^2N+2cotNtanN+cot^2N
=tan^2N+2+cot^2N
==tan^2N+1+1+cot^2N
=sec^2N+csc^2N

Answer 2

(( sin N/cos N + cosN/sinN) )^2
( sin^2N +cos^2N)^2)/sinN cosN
1/sin^2Ncos^2n
cosec^2N sec^2N