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  4. The number of solutions of cos -1( cos x)=[x] where [ x ] denotes greatest integers function is

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Q. The number of solutions of $\cos ^{-1}(\cos x)=[x]$ where $[ x ]$ denotes greatest integers function is

Inverse Trigonometric Functions

Solution:

Draw the graph of $y=\cos ^{-1}(\cos )$
and $y=[x]$ solutions are $0,1,2,3$.