The total number of solutions of

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

\sin\{x\}=\cos\{x\}

, where

\{x\}

denotes the fractional part of

x

, in

[0,2\pi]

is equal to (1) 5 (2) 6 (3) 7 (4) None of these