while this may numerically be a different range depending on whether we are
in degrees or radians, the most elegant form of the answer does not care
two hoots about which angle mode we use.
A more interesting question about this problem might be what is the domain?
There are two natural assumptions one could make for the domain, and they
are R and C. Each of these assumptions gives rise to a different answer,
and each is equally plausible as a guess at the setters intention. If I were
solving this problem I would solve both of these possibilities.
domain should be. However I'm not the setter of this problem, nor have I
discussed it with him so I don't know what he thinks a correct solution would
(who thinks the quoting in this thread is too complex for white
text - you would not believe how messy some of my posts
have been while sorting out the quoted and reply text)