Cotangent of Right Angle
(Redirected from Cotangent of 90 Degrees)
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Theorem
- $\cot 90 \degrees = \cot \dfrac \pi 2 = 0$
where $\cot$ denotes cotangent.
Proof
\(\ds \cot 90 \degrees\) | \(=\) | \(\ds \frac {\cos 90 \degrees} {\sin 90 \degrees}\) | Cotangent is Cosine divided by Sine | |||||||||||
\(\ds \) | \(=\) | \(\ds \frac 0 1\) | Cosine of Right Angle and Sine of Right Angle | |||||||||||
\(\ds \) | \(=\) | \(\ds 0\) |
$\blacksquare$
Also see
- Sine of Right Angle
- Cosine of Right Angle
- Tangent of Right Angle
- Secant of Right Angle
- Cosecant of Right Angle
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