June 28th, 2017, 04:40 AM  #1 
Newbie Joined: Jun 2017 From: Serbia Posts: 3 Thanks: 0  Find the domain
f(x)=sqrtsin(cosx) Im very confused. 
June 28th, 2017, 05:26 AM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,322 Thanks: 453 Math Focus: Yet to find out. 
Maybe elaborate on your confusion.

June 28th, 2017, 06:01 AM  #3 
Newbie Joined: Jun 2017 From: Serbia Posts: 3 Thanks: 0 
Cosx needs to have positive value so sin(cosx) is greater or eqal to 0 ? But if cosx is for example 1/2, how can i find sin1/2 if thats not an angle but a number?
Last edited by Guiless; June 28th, 2017 at 06:04 AM. 
June 28th, 2017, 06:04 AM  #4 
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 853 Thanks: 311 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics  
June 28th, 2017, 06:41 AM  #5 
Math Team Joined: Jul 2011 From: Texas Posts: 2,624 Thanks: 1305 
$f(x) = \sqrt{\sin(\cos{x})}$ note $1 \le \cos{x} \le 1 \implies \sin(\cos{x}) \ge 0$ for $0 \le \cos{x} \le 1$ $0 \le \cos{x} \le 1$ for values of $x$ in quadrants I and IV $\dfrac{\pi}{2} + 2k\pi \le x \le \dfrac{\pi}{2} + 2k\pi$, $k \in \mathbb{Z}$ 
June 28th, 2017, 08:16 AM  #6 
Newbie Joined: Jun 2017 From: Serbia Posts: 3 Thanks: 0 
Thank you ive got it.


Tags 
domain, find 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
How do I find the image set and domain?  alexpasty  Algebra  2  January 8th, 2014 05:51 AM 
Find the Domain of the Function.  Shamieh  Algebra  4  April 30th, 2013 08:59 PM 
How to find restricted domain  alloy  Algebra  4  October 30th, 2012 09:45 AM 
Find Domain  symmetry  Algebra  6  June 5th, 2007 06:34 AM 
Find the Domain of the Function.  Shamieh  Calculus  3  December 31st, 1969 04:00 PM 