Inverse Hyperbolic Trigonometry as Logarithms: sech^-1(x)

in hive-196037 •  5 years ago  (edited)


In this video I go over converting inverse hyperbolic trig functions to logarithms and prove that the function inverse hyperbolic secant or sech-1(x) is equal to ln(1/x+sqrt(1-x2)/x).

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiJQKqxe04q3_6Rlg_A?e=soou5P

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/inverse-hyperbolic-trigonometry-as-logarithms-sech-1-x

Related Videos:

Inverse Hyperbolic Trigonometry as Logarithms: sech-1(x): http://youtu.be/cF0Pbdkae30
Inverse Hyperbolic Trigonometry as Logarithms: csch-1(x): http://youtu.be/278-6zKYDdE
Inverse Hyperbolic Trigonometry as Logarithms: sinh-1(x): http://youtu.be/AQT2uHlyjEs
Inverse Hyperbolic Trigonometry as Logarithms: tanh-1(x): http://youtu.be/vfOWS8Y_rQw
Inverse Hyperbolic Trigonometry as Logarithms: cosh-1(x): http://youtu.be/lsUcHzQAlHQ
Hyperbolic Functions - tanh(x), sinh(x), cosh(x) - Introduction: http://youtu.be/EmJKuQBEdlc
Inverse Functions - f-1(x) - An Introduction: http://youtu.be/qIqj3oKwFi8
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI
Natural Logarithms, Log base 10, and Some Examples Using Logs: http://youtu.be/XRSkMk5L3pk
Inverse Functions Part 2: One to One Functions and the Horizontal Line Test: http://youtu.be/iSNuplUWrbA
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0
Power Functions Part 2: What is x0 and 00???: http://youtu.be/VzFUDiLzRiE .


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I don't always deal with inverse hyperbolic functions but when I do I make sure to write them as logs ;)

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/inverse-hyperbolic-trigonometry-as-logarithms-sech-1-x