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Problem:
Find the inverse of the following function: $\cos (8-x)$
Answer:
$\left\{\left\{x\to \fbox{$-\cos ^{-1}(y)-2 \pi c_1+8\text{ if }c_1\in \mathbb{Z}\land -1\leq y\leq 1$}\right\},\left\{x\to \fbox{$\cos ^{-1}(y)-2 \pi c_1+8\text{ if }c_1\in \mathbb{Z}\land -1\leq y\leq 1$}\right\}\right\}$