Cosecant of Right Angle
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Theorem
- $\csc 90 \degrees = \csc \dfrac \pi 2 = 1$
where $\csc$ denotes cosecant.
Proof
| \(\ds \csc 90 \degrees\) | \(=\) | \(\ds \frac 1 {\sin 90 \degrees}\) | Cosecant is Reciprocal of Sine | |||||||||||
| \(\ds \) | \(=\) | \(\ds \frac 1 1\) | Sine of Right Angle | |||||||||||
| \(\ds \) | \(=\) | \(\ds 1\) |
$\blacksquare$
Also see
- Sine of Right Angle
- Cosine of Right Angle
- Tangent of Right Angle
- Cotangent of Right Angle
- Secant 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