Question: are cosine and secant inverse functions?
Answer: Inverse Reciprocal Trigonometric Functions Because cosecant and secant are inverses, \begin{align*}\sin^{-1} \frac{1}{x} = \csc^{-1} x\end{align*} is also true. The inverse reciprocal identity for cosine and secant can be proven by using the same process as above.