5.63 How to convert trig to sinc function in an expression

From http://www.mapleprimes.com/questions/40470-Trigonometric-Function-To-Sinc-Function

Maple doesn’t have a sinc function. If you mean the function sinc(x) = sin(x)/x, you could say something like

> eval(expr, {sin = (x -> x*sinc(x)), 
              cos = (x -> (x+Pi/2)*sinc(x+Pi/2)), 
              tan = (x -> x*sinc(x)/(x+Pi/2)/sinc(x+Pi/2))});