# How do you evaluate #cos^-1(cos((7pi)/10))#?

The whole purpose of the inverse cosine function (or of inverse functions in general) is to undo the action of the cosine function (or the parent function).

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To evaluate cos^-1(cos((7π)/10)), we first recognize that the cosine function has a range of values from -1 to 1. However, the inverse cosine function (cos^-1) returns values in the range [0, π].

Given the angle (7π)/10, we notice that it falls within the range of [0, π]. Therefore, cos^-1(cos((7π)/10)) will yield the same value as the original angle, which is (7π)/10.

Hence, the evaluation of cos^-1(cos((7π)/10)) is (7π)/10.

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