Cosecant of Supplementary Angle/Examples/4 Theta minus 180
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Example of Cosecant of Supplementary Angle
- $\map \csc {4 \theta - 180 \degrees} = -\map \csc {4 \theta}$
Proof
| \(\ds \map \csc {4 \theta - 180 \degrees}\) | \(=\) | \(\ds -\map \csc {180 \degrees - 4 \theta}\) | Cosecant Function is Odd | |||||||||||
| \(\ds \) | \(=\) | \(\ds -\map \csc {4 \theta}\) | Cosecant of Supplementary Angle |
$\blacksquare$
Sources
- 1953: L. Harwood Clarke: A Note Book in Pure Mathematics ... (previous) ... (next): $\text V$. Trigonometry: Exercise $\text {XXXI}$: $8.$