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Certified Pre-Owned
Join Date: Aug 2002
Location: Nanny State
Posts: 3,132
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Quote:
Originally Posted by Bill Verburg
sin is a function, and exponentiation is also a function. Every function has to have an argument to work on,
in sin θ, it is clear that sin is the function and θ the argument
in x^n, it is clear that x is the argument and ^3 is the function
In the same way it was traditionally agreed that exponentiation of a trig function can be written sin^n θ or as (sin θ)^n, because mathematicians are basically lazy and don't like to write anything extra
in sin^3, ^3 is not not an argument, it is itself a function w/ sin something as it's argument,
the rewrite is just a clearer way to represent the same thing
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Thank you Bill.
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'84 Carrera Coupe
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01-11-2015, 06:15 PM
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