For example, take (5pi)/4 which is in Q3, it's half angle is (5pi)/8 which is in Q2. Is this true for every angle?
2026-04-02 15:07:58.1775142478
Would every half angle of an angle in each quadrant be in the previous quadrant?
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No. Here are two counterexamples:
(7pi)/4 is in the fourth quadrant and (7pi)/8 is in the second quadrant.
(pi)/3 is in the first quadrant and (pi)/6 is also in the first quadrant.