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August 12th, 2018, 08:58 PM   #1
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Solving inverse trigonometric equation

Hello,

If $\displaystyle \left [ \textrm{arccot} x \right ]+\left [ \cos^{-1}x \right ]=0$. where x is a non-negative real no. and [.] denotes the greatest integer function, then what will be complete set of values of x satisfying this equation?

Thx.
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August 12th, 2018, 09:29 PM   #2
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what have you tried?
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August 13th, 2018, 08:16 AM   #3
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I think graphical approach..
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August 13th, 2018, 09:09 AM   #4
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Quote:
Originally Posted by happy21 View Post
I think graphical approach..
I kinda doubt you have actually tried this or you would see the answer is obvious. Why don't you go ahead and graph the expression and come back if you have further questions.
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August 13th, 2018, 09:19 AM   #5
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Yeah, now it's solved. Thanks.

Last edited by skipjack; August 14th, 2018 at 12:24 AM.
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August 13th, 2018, 10:23 AM   #6
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Quote:
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Yeah, now it's solved. Thanks.
You should have obtained

$x \in (\cos(1),1]$

Last edited by skipjack; August 14th, 2018 at 12:24 AM.
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August 13th, 2018, 11:02 AM   #7
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Quote:
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you should have obtained

$x \in (\cos(1),1]$
I obtained (cot(1),1].

Thx.
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August 13th, 2018, 01:30 PM   #8
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Quote:
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I obtained (cot(1),1].

Thx.
you are correct.

I was using arctan(x).
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