use the mean value theorem to show that 
cos(x)<=(2^-(1/2))(1+(pi/4)-x) for 0<= x < pi/2
and
cos(x)<=(2^-(1/2))+(pi/4)-x for pi/4<= x < pi

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Request for Question Clarification by chis-ga on 26 Jun 2003 00:26 PDT

fmunshi,

I can show you how to prove these statements, but are you sure that
you are supposed to be using the mean value theorem?  I am not seeing
a relation.

-chis