So I had an expression
sqrt( cos^2(t) + sin^2(t) + (1/cos^2(t))^2 )
and I simplifed it to sqrt( 1 + (1/cos^2(t))^2 )
And what next?..
and been staring at last expressions for like 10 minutes :D, feel myself really dumb, maybe someone can help?
sqrt( cos^2(t) + sin^2(t) + (1/cos^2(t))^2 )................(1)
Cos^2(t) + sin^2(t) =1..................................................(2)
(1/cos^2(t))^2 =(sec^2(t))^2=sec^4(t).......................(3)
Just sub (2) and (3) into (1)
Sqrt[1 + sec^4(t)]