Sine of Straight Angle
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Theorem
- $\sin 180 \degrees = \sin \pi = 0$
where:
- $\sin$ denotes the sine function
- $180 \degrees = \pi$ is the straight angle.
Proof
A direct implementation of Sine of Multiple of Pi:
- $\forall n \in \Z: \sin n \pi = 0$
In this case, $n = 1$ and so:
- $\sin \pi = 0$
$\blacksquare$
Also see
- Cosine of Straight Angle
- Tangent of Straight Angle
- Cotangent of Straight Angle
- Secant of Straight Angle
- Cosecant of Straight Angle
Sources
- 1953: L. Harwood Clarke: A Note Book in Pure Mathematics ... (previous) ... (next): $\text V$. Trigonometry: Special angles
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 5$: Trigonometric Functions: Exact Values for Trigonometric Functions of Various Angles