How do you simplify the expression #(secx-1)(secx+1)#?

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Answer 1 · 2016-08-21T09:05:52

#tan^2x#

#(sec x-1)(sec x +1) =sec^2 x-1#

The one trig identity to remember is

#sin^2x +cos^2x =1#

Divide through by #cos^2x# to give

#tan^2x + 1 = sec^2x#

Rearrange

And you have your answer