Quandaries and Queries
My name is Monica and I am a student in college.
I was very curious about how to prove that arcsech x = ln[(1 + (1-x2)(1/2)) / x ]
I know that sechy = x
which equals 1/coshy
= 2/(ey + e-y). But i am absolutely clueless after that!
I really would like to know ASAP, so if you can help, I would appreciate it!
You are correct that is sech y = x then
Multiply both sides by (ey + e-y) to get
Now multiply both sides by ey and the equation becomes
This is a quadratic in ey which you can solve using the general quadratic formula.