For one of the problems in my book, it requires you to put the arc tangent into the 2piK equation and solve for the arc tangents and lie in [0,2pi]. For:
arctan(117)+piK
the answers are 1.5622 and 4.70384, how is the 4.70384 found??
2026-03-29 02:29:13.1774751353
Arc Tangents and Equation
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$1.5622+\pi\approx 4.70384{}{}{}{}{}{}$
Adding or subtracting any other multiples of $\pi$ gives you values outside of the range $[0,2\pi]$, so those are the only answers.