Tangent of 330 Degrees
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Theorem
- $\tan 330^\circ = \tan \dfrac {11 \pi} 6 = -\dfrac {\sqrt 3} 3$
where $\tan$ denotes tangent.
Proof
| \(\ds \tan 330^\circ\) | \(=\) | \(\ds \tan \left({360^\circ - 30^\circ}\right)\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds -\tan 30^\circ\) | Tangent of Conjugate Angle | |||||||||||
| \(\ds \) | \(=\) | \(\ds -\frac {\sqrt 3} 3\) | Tangent of 30 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