
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
 LinkBack  Thread Tools  Display Modes 
May 23rd, 2018, 08:48 PM  #1 
Member Joined: Jan 2012 Posts: 98 Thanks: 2  Range of a function
Hello All, Can one please elaborate what will be the range of the following function: $\displaystyle f(x) = \frac{1}{\cos\left \{ x \right \}}$ where {x} = Fractional Part Function. Last edited by skipjack; May 23rd, 2018 at 10:40 PM. 
May 23rd, 2018, 09:33 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 1,974 Thanks: 1025 
$\{x\} \in [0,1)$ over that domain $\cos(x) \in (\cos(1),1]$ so $\dfrac{1}{\cos(x)} \in \left[1,\dfrac{1}{\cos(1)}\right) \approx \left[1,1.85\right)$ and this is periodic with a period of 1. 
May 24th, 2018, 09:29 AM  #3 
Member Joined: Jan 2012 Posts: 98 Thanks: 2  
May 24th, 2018, 10:09 AM  #4 
Senior Member Joined: Sep 2015 From: USA Posts: 1,974 Thanks: 1025  ... $\dfrac{1}{\cos(1)} \approx 1.85$ Last edited by skipjack; May 24th, 2018 at 09:49 PM. 
May 24th, 2018, 08:01 PM  #5 
Member Joined: Jan 2012 Posts: 98 Thanks: 2 
Without looking at tables and calculator...this value can be obtained...!

May 24th, 2018, 08:10 PM  #6 
Senior Member Joined: Sep 2015 From: USA Posts: 1,974 Thanks: 1025  
May 24th, 2018, 08:20 PM  #7 
Member Joined: Jan 2012 Posts: 98 Thanks: 2 
Thx.


Tags 
function, range 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
How do get the range of this function?  KaiL  PreCalculus  3  November 17th, 2014 06:22 PM 
Range of a function  happy21  Calculus  9  August 17th, 2013 07:31 AM 
Range of function  sachinrajsharma  Calculus  2  April 8th, 2013 10:09 PM 
Range of a function  Tartarus  Algebra  8  November 24th, 2009 01:50 PM 
range of the sin function  hobilla  Algebra  3  March 13th, 2008 08:20 PM 