Provide an Appropriate Response $\sec ^ { - 1 } ( - x ) = \pi - \sec ^ { - 1 } x$

question 557

Essay

Provide an appropriate response.
-Derive the identity $\sec ^ { - 1 } ( - x ) = \pi - \sec ^ { - 1 } x$ by combining the following two equations:
$$\begin{array} { l } \cos ^ { - 1 } ( - x ) = \pi - \cos ^ { - 1 } x \\\sec ^ { - 1 } x = \cos ^ { - 1 } ( 1 / x )\end{array}$$

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