Secant of Zero

Theorem

$\sec 0 = 0$

where $\sec$ denotes secant.


Proof

\(\ds \sec 0 \degrees\) \(=\) \(\ds \frac 1 {\cos 0 \degrees}\) Secant is Reciprocal of Cosine
\(\ds \) \(=\) \(\ds \frac 1 1\) Cosine of Zero is One
\(\ds \) \(=\) \(\ds 1\)

$\blacksquare$


Also see


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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