Trig
posted by Mike .
tan^2t/sect=sectcost
cott^2/csct=csctsint

Are you showing that they are identities ?
if so,
LS = (sin^2t/cos^2t)(cost)
= sin^2t/cost
RS = 1/cost  cost
= (1  cos^2t)/cost
= sin^2t/cost
= LS
The second one works the same way, try it.