How do you simplify?

Question

#sec^2(t)/(sec^2(t)-1) #

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Answer 1 · 2018-02-22T05:08:02

#sec^2t/(sec^2t-1)=csc^2t#

#sec^2t/(sec^2t-1)#

= #(tan^2t+1)/tan^2t# #-# (as #sec^2t=tan^2t+1#)

= #1+1/tan^2t#

= #1+cot^2t#

= #csc^2t#