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Unsolved Challenge Unsolved Challenge: Floor function

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anemone

MHB POTW Director
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Feb 14, 2012
3,599
Solve $\{ \sin \lfloor x \rfloor \}+\{ \cos \lfloor x \rfloor \}=\{ \tan \lfloor x \rfloor \}$ for real solution(s).
 

kaliprasad

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Mar 31, 2013
1,283
x in radian or degree ?
 
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anemone

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Feb 14, 2012
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Hi Kali, $x$ is in radian.
 

topsquark

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MHB Math Helper
Aug 30, 2012
1,120
Solve $\{ \sin \lfloor x \rfloor \}+\{ \cos \lfloor x \rfloor \}=\{ \tan \lfloor x \rfloor \}$ for real solution(s).
Sorry, but I'm a bit confused. I know what the floor function does but what does the {.} do?

-Dan
 
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anemone

MHB POTW Director
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Feb 14, 2012
3,599
Sorry Dan for not being clear in my question.(Blush)

{} means the fractional part of $x$, and defined by the formula $\{ x \}=x-\lfloor x \rfloor$.

Hope this clears it up!