On Fri, 27 Sep 2002, david clayton wrote: > The application of the radian unit has introduced ambiguity and > contradictions in logic to mathematics.
False! > The removal of the radian by the formalised use of circular measure > (using an abbreviation "circ" in equations) takes away the source of > these complications. Retention of the radian is best in SI and in mathematics. > Examples of ambiguity: > Example 1. > "If an angle x is small and measured in radians, sin x approximately > equals x." True. This is a valid (practical, useful) approximation. > Comment: > The x in sin x is an angle and can be expressed in any angle units and > is not restricted to radians. True, but the result sin x = x then fails if x is not expressed in radians. > The simple x value is not an angle,... False. This, and your other examples are not persuasive! Gene.
