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The golden ratio satisfies arctan(1/φ) + arctan(1/φ³) = π/4. Proved via the arctangent addition formula with branch safety. All intermediate steps use φ² = φ+1 only. Pure algebra.
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Title CCFU Proof 7 — Arctangent Identity: arctan(1/φ) + arctan(1/φ³) = π/4
The golden ratio satisfies arctan(1/φ) + arctan(1/φ³) = π/4. Proved via the arctangent addition formula with branch safety. All intermediate steps use φ² = φ+1 only. Pure algebra.
Work type Research papers, Thesis, Lecture notes
Tags proof, mathematics, golden ratio, identity, arctangent, ccfu
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Identifier 2605155669720
Entry date May 15, 2026, 10:07 PM UTC
License All rights reserved
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Author 100.00 %. Holder Captain Cookie Face Universe. Date May 15, 2026.
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