What is (sec(x)+1)(sec(x)-1) ?

The solution to (sec(x)+1)(sec(x)-1) is tan^2(x)

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simplify (sec(x)+1)(sec(x)-1)

simplify

(sec (x) + 1) (sec (x) - 1)

tan^{2} (x)

Solution steps

(sec (x) + 1) (sec (x) - 1)

Expand

(- 1 + sec (x)) (1 + sec (x)) : sec^{2} (x) - 1

= - 1 + sec^{2} (x)

Rewrite using trig identities

= tan^{2} (x)

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