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  • If [.] denotes the greatest integer function , and f(x)= cos [pi^2] x+cos [-pi^2] x , then f(pi/2) equals

If [.] denotes the greatest integer function , and f(x)= cos [pi^2] x+cos [-pi^2] x , then f(pi/2) equals

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Solution:     [pi^2]=9  and   [-pi^2]=-10

                    f(x)=cos [pi^2]x+cos [-pi^2]x

                   Rightarrow                        f(fracpi2)=-1.

Posted by

Deependra Verma

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