verify the identities COSX OVER 1PLUS SINX PLUS 1PLUS SINX OVER COSX IS EQUAL TO 2SEC.

Answer 1

cos/(1+sin) + (1+sin)/cos

cos^2/[ cos(1+sin) ] +(1+sin)^2 /[cos(1+sin)]

(cos^2 + 1 + 2 sin + sin^2)/[cos(1+sin)]
but cos^2 + sin^2 = 1

( 2 + 2 sin) /[cos(1+sin)]

2 (1+sin)/[cos(1+sin)]

2/cos
which is
2 sec