Logarithmic Forms
These functions may also be expressed using complex logarithms. This extends in a natural fashion their domain to the complex plane.
Elementary proofs of these relations proceed via expansion to exponential forms of the trigonometric functions.
Read more about this topic: Inverse Trigonometric Functions
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“And what avails it that science has come to treat space and time as simply forms of thought, and the material world as hypothetical, and withal our pretension of property and even of self-hood are fading with the rest, if, at last, even our thoughts are not finalities, but the incessant flowing and ascension reach these also, and each thought which yesterday was a finality, to-day is yielding to a larger generalization?”
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