Secant of Full Angle
(Redirected from Secant of 360 Degrees)
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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