Cotangent of Three Right Angles
(Redirected from Cotangent of 270 Degrees)
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Theorem
- $\cot 270 \degrees = \cot \dfrac {3 \pi} 2 = 0$
where $\cot$ denotes cotangent.
Proof
\(\ds \cot 270 \degrees\) | \(=\) | \(\ds \map \cot {360 \degrees - 90 \degrees}\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds -\cot 90 \degrees\) | Cotangent of Conjugate Angle | |||||||||||
\(\ds \) | \(=\) | \(\ds 0\) | Cotangent of Right Angle |
$\blacksquare$
Also see
- Sine of Three Right Angles
- Cosine of Three Right Angles
- Tangent of Three Right Angles
- Secant of Three Right Angles
- Cosecant of Three Right Angles
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