Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • 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

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)

best_answer

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.

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question