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\[\tan^{-1} [\tan (6\pi/7)]\]

What do you know about inverse functions? (they're super important to answering this question).

so would the answer just be 6pi/7 since the inverse tan would undo tan?

yes

thanks (:
does that apply to any function that has the inverse of the same function on the outside?

yes, and vice versa.

what if it was something like \[\tan [\tan^{-1}(\pi/10)] \]

the simplified version of 6pi/7 would be just pi/7 ?

the problem says simplify and use pi as needed..

In that case, the answer is 6 pi/7 (about 154.29ยบ)