If for all real values of ua n dv ,2f(u)...

If for all real values of `ua n dv ,2f(u)cosv=f(u+v)+f(u-v),` prove that for all real values of `x ,` `f(x)+f(-x)=2acosxdot` `f(pi-x)+f(-x)=0` `f(pi-x)+f(x)=2bsinxdot` Deduce that `f(x)=acosx+bsinx ,w h e r ea ,b` are arbitrary constants.

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