Prove that (sec theta + tan theta - 1)(sec theta - tan theta + 1) = 2tan theta

Question

asked Jan 3, 2024 117k views

1 Answer

Roman Sterlin · Answer 1 · 2024-01-07T02:59:18+0000

Answer:

(secΘ+tanΘ-1)(secΘ-tanΘ+1)

=sec²Θ-secΘtanΘ+secΘ+secΘtan-tan²Θ+tanΘ-secΘ+tanΘ-1

=2tanΘ+(sec²Θ-tan²Θ)-1

=2tanΘ+1-1

=2tanΘ