Question

How do you prove `(sec(t)+1)(sec(t)-1)=tan^2(t)`?

Answer 1

See Below

Explanation:

`LHS: (sect+1)(sect-1)`

`=sec^2t-1`->FOIL

`=tan^2t+1-1`-> Use the property `sec^2t=tan^2t+1`

`=tan^2t`

`=RHS`