Secant of 300 Degrees

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Theorem

$\sec 300 \degrees = \sec \dfrac {5 \pi} 3 = 2$

where $\sec$ denotes secant.


Proof

\(\ds \sec 300 \degrees\) \(=\) \(\ds \map \sec {360 \degrees - 60 \degrees}\)
\(\ds \) \(=\) \(\ds \sec 60 \degrees\) Secant of Conjugate Angle
\(\ds \) \(=\) \(\ds 2\) Secant of $60 \degrees$

$\blacksquare$


Sources