Let [x] and x denote the greatest integer and the fractional parts of a real number x respectively .then the range of the function f(x)=[ cos ^-1 x ], is

Answers (1)

Solution:   We know that ,

                  For    -1leq x< 0,   x=x+1 and

                   For      0leq x< 1,     x=x.

                   	herefore      cos^-1(1)=0;cos^-1(fracsqrt32)=fracpi6;

                  Rightarrow      cos^-1(frac1sqrt2)=fracpi4;cos^-1(frac12)=fracpi3;   

                Rightarrow                             cos^-10=fracpi2.

               	herefore                Df=(0,fracpi2)       and     R(f)=�,1.

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