Question

What are the steps in verifying that -ln|secx+tanx| = ln|secx-tanx|

Thanks

Answer 1

e^(left side) = e^(right side)

1/|secx+tanx| = |secx-tanx|
1 = |secx+tanx|* |secx-tanx|
= |1 + sin x|*|1 - sin x|/|cos^2 x|
All terms are negative or zero, so you can remove the || signs.
1 = (1 - sin^2x)/cos^2 x
1 = 1