
Trigonometry Trigonometry Math Forum 
 LinkBack  Thread Tools  Display Modes 
May 27th, 2018, 06:50 AM  #1 
Newbie Joined: May 2018 From: Germany Posts: 2 Thanks: 0  Smallest Asymptote of a tan function
Hi guys. How does one go about finding the smallest asymptote of this function. f(x) = tan(9x+8 ) where x>=0 (in radians)

May 27th, 2018, 08:17 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,104 Thanks: 1907 
For x = (8  5pi/2)/9, 9x + 8 = 5pi/2, and so tan(9x + 8) is undefined. There's no asymptote closer to the origin (even if negative values of x are allowed).

May 27th, 2018, 08:19 AM  #3 
Newbie Joined: May 2018 From: Germany Posts: 2 Thanks: 0 
where did you get the 5pi/2 from? or rather, where did you get the whole x equation from?

May 27th, 2018, 12:29 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,104 Thanks: 1907 
As 9x + 8 needs to be an odd multiple of pi/2, I selected the odd multiple of pi/2 that's closest to 8 and then found the corresponding value of x, which happened to be nonnegative, as required.


Tags 
asymptote, function, smallest, tan, trigonometric functions 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Why doesn't this function not have a vertical asymptote?  LoseUrself2Dance  Calculus  6  March 13th, 2016 06:39 PM 
How to show asymptote / holes for the following function?  noobinmath  Calculus  11  March 11th, 2016 12:27 PM 
Finding The Horizontal Asymptote Of A Function  soulrain  Calculus  14  June 25th, 2012 02:07 PM 
If a function goes through an asymptote...?  daigo  Algebra  4  March 1st, 2012 03:20 PM 
How do I find the horizontal asymptote of this function?  LastXdeth  Calculus  11  August 16th, 2011 04:17 PM 