Cotangent of 300 Degrees
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Theorem
- $\cot 300 \degrees = \cot \dfrac {5 \pi} 3 = - \dfrac {\sqrt 3} 3$
where $\cot$ denotes cotangent.
Proof
| \(\ds \cot 300 \degrees\) | \(=\) | \(\ds \map \cot {360 \degrees - 60 \degrees}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds -\cot 60 \degrees\) | Cotangent of Conjugate Angle | |||||||||||
| \(\ds \) | \(=\) | \(\ds -\frac {\sqrt 3} 3\) | Cotangent of $60 \degrees$ |
$\blacksquare$
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