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  • If [.] denotes the greatest integer function , then the range of the function f(x)=cos[x] , -pi/4<x<pi/4 , is

If [.] denotes the greatest integer function , then the range of the function f(x)=cos[x] , -pi/4

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Solution:   For  -fracpi4< x< 0,[x]=-1Rightarrow cos(-1)=cos 1;

                  For    0< xleq fracpi4,[x]=0Rightarrow cos (0)=1.

                    herefore         R(f)=1,cos 1 

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Deependra Verma

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