My Math Forum  

Go Back   My Math Forum > High School Math Forum > Trigonometry

Trigonometry Trigonometry Math Forum

Thanks Tree1Thanks
  • 1 Post By Country Boy
LinkBack Thread Tools Display Modes
May 16th, 2017, 11:31 AM   #1
Joined: Dec 2016
From: -

Posts: 62
Thanks: 10

Formula of arctan(tan(x))

Does the formula $\arctan(\tan(x))=x$ hold only for $x\in(-\pi/2,+\pi/2)$, and how can this be extended to other values of x? Thanks!
nietzsche is offline  
May 17th, 2017, 03:07 AM   #2
Math Team
Joined: Jan 2015
From: Alabama

Posts: 3,189
Thanks: 871

Since tan(x) is not a "one to one" function, strictly speaking it does not have an inverse function so we restrict it to one "period", between and . Then arctan is defined as giving a value between those.
Thanks from nietzsche
Country Boy is offline  

  My Math Forum > High School Math Forum > Trigonometry

arctantanx, formula

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Arctan identity moshelevi33 Trigonometry 7 November 12th, 2016 04:26 AM
cos(arctan(-4/3)-arcsin(24/25)... mared Trigonometry 2 May 17th, 2014 11:45 AM
arctan... ungeheuer Calculus 3 January 16th, 2013 04:17 AM
arctan danneman91 Algebra 2 October 3rd, 2011 12:11 PM
Solving arctan( k * x ) + x = c HenrikAndresen Complex Analysis 2 October 26th, 2009 12:22 AM

Copyright © 2018 My Math Forum. All rights reserved.