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→IUPAC report: Quote improvements.
=== IUPAC report ===
This reference explains a bit more clearly why the radian unit isinvisible in most situations.
Title: Quantities, units, and symbols in physical chemistry (second edition).
Quote from page 11:
<blockquote>The units radian (rad) and steradian (sr), for plane angle and solid angle respectively, are described as 'SI supplementary units' [3]. Since they are of dimension 1 (i.e. dimensionless), they may be included if appropriate, or they may be omitted if clarity is not lost thereby, in expressions for derived SI units.</blockquote>
This is the part meaning that radians are implied if you are doing anything angular. I don't know what they mean by clarity because by omitting them it complicates things. Maybe you have to be a physicist before you can see this clarity.
== Spherical harmonics ==