Difference between revisions of "Relationship between arcsin and arccsc"

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Revision as of 03:40, 16 May 2016

Theorem: The following formula holds: $$\mathrm{arcsin}(z) = \mathrm{arccsc}\left( \dfrac{1}{z} \right),$$ where $\mathrm{arcsin}$ denotes the inverse sine function and $\mathrm{arccsc}$ denotes the inverse cosecant function.

Proof: