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

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