how to solve arctan[tan(7pi /4)] ...?

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22-11-2016
Physics

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how to solve arctan[tan(7pi /4)] ...?

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Аноним Аноним · Answer 1 · 2016-11-25T14:28:12+01:00

Well,
arctan is a bijection from R into (-pi/2 , pi/2)*and
pi is a period of tangent function:
so
as we have : tan(7pi/4) = tan(pi - pi/4) = - tan(pi/4)
we finally get :

arctan(tan(7pi/4)) = artan(tan(- pi/4)) = - pi/4

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