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August 12th, 2018, 08:58 PM  #1 
Senior Member Joined: Jan 2012 Posts: 113 Thanks: 2  Solving inverse trigonometric equation
Hello, If $\displaystyle \left [ \textrm{arccot} x \right ]+\left [ \cos^{1}x \right ]=0$. where x is a nonnegative real no. and [.] denotes the greatest integer function, then what will be complete set of values of x satisfying this equation? Thx. 
August 12th, 2018, 09:29 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,121 Thanks: 1101 
what have you tried?

August 13th, 2018, 08:16 AM  #3 
Senior Member Joined: Jan 2012 Posts: 113 Thanks: 2 
I think graphical approach..

August 13th, 2018, 09:09 AM  #4 
Senior Member Joined: Sep 2015 From: USA Posts: 2,121 Thanks: 1101  
August 13th, 2018, 09:19 AM  #5 
Senior Member Joined: Jan 2012 Posts: 113 Thanks: 2 
Yeah, now it's solved. Thanks.
Last edited by skipjack; August 14th, 2018 at 12:24 AM. 
August 13th, 2018, 10:23 AM  #6 
Senior Member Joined: Sep 2015 From: USA Posts: 2,121 Thanks: 1101  You should have obtained $x \in (\cos(1),1]$ Last edited by skipjack; August 14th, 2018 at 12:24 AM. 
August 13th, 2018, 11:02 AM  #7 
Senior Member Joined: Jan 2012 Posts: 113 Thanks: 2  
August 13th, 2018, 01:30 PM  #8 
Senior Member Joined: Sep 2015 From: USA Posts: 2,121 Thanks: 1101  

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equation, inverse, solving, trigonometric 
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