MHB Can You Solve This Tricky Trigonometric Floor Function Equation?

[anemone]

Solve $\{ \sin \lfloor x \rfloor \}+\{ \cos \lfloor x \rfloor \}=\{ \tan \lfloor x \rfloor \}$ for real solution(s).

 

[kaliprasad]

x in radian or degree ?

 

[anemone]

Hi Kali, $x$ is in radian.

 

[topsquark]

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

 

[anemone]

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!