Secant of Full Angle

Theorem

$\sec 360 \degrees = \sec 2 \pi = 1$

where $\sec$ denotes secant.


Proof

\(\ds \sec 360 \degrees\) \(=\) \(\ds \map \sec {360 \degrees - 0 \degrees}\)
\(\ds \) \(=\) \(\ds \sec 0 \degrees\) Secant of Conjugate Angle
\(\ds \) \(=\) \(\ds 1\) Secant of Zero

$\blacksquare$


Sources

  • 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 5$: Trigonometric Functions: Exact Values for Trigonometric Functions of Various Angles
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