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Allied angles table
| \(\alpha\) |
\(\sin \alpha\) |
\(\cos \alpha\) |
\(\tan \alpha\) |
\(\cot \alpha\) |
\(\sec \alpha\) |
\(\text{cosec} \alpha\) |
| \(-\theta\) |
\(-\sin \theta\) |
\(+\cos \theta\) |
\(-\tan \theta\) |
\(-\cot \theta\) |
\(+\sec \theta\) |
\(-\text{cosec} \theta\) |
| \(90^\circ-\theta\) |
\(+\cos \theta\) |
\(+\sin \theta\) |
\(+\cot \theta\) |
\(+\tan \theta\) |
\(+\text{cosec} \theta\) |
\(+\sec \theta\) |
| \(90^\circ+\theta\) |
\(+\cos \theta\) |
\(-\sin \theta\) |
\(-\cot \theta\) |
\(-\tan \theta\) |
\(-\text{cosec} \theta\) |
\(+\sec \theta\) |
| \(180^\circ-\theta\) |
\(+\sin \theta\) |
\(-\cos \theta\) |
\(-\tan \theta\) |
\(-\cot \theta\) |
\(-\sec \theta\) |
\(+\text{cosec} \theta\) |
| \(180^\circ+\theta\) |
\(-\sin \theta\) |
\(-\cos \theta\) |
\(+\tan \theta\) |
\(+\cot \theta\) |
\(-\sec \theta\) |
\(-\text{cosec} \theta\) |
| \(270^\circ-\theta\) |
\(-\cos \theta\) |
\(-\sin \theta\) |
\(+\cot \theta\) |
\(+\tan \theta\) |
\(-\text{cosec} \theta\) |
\(-\sec \theta\) |
| \(270^\circ+\theta\) |
\(-\cos \theta\) |
\(+\sin \theta\) |
\(-\cot \theta\) |
\(-\tan \theta\) |
\(+\text{cosec} \theta\) |
\(-\sec \theta\) |
| \(360^\circ-\theta\) |
\(-\sin \theta\) |
\(+\cos \theta\) |
\(-\tan \theta\) |
\(-\cot \theta\) |
\(+\sec \theta\) |
\(-\text{cosec} \theta\) |
| \(360^\circ+\theta\) |
\(+\sin \theta\) |
\(+\cos \theta\) |
\(+\tan \theta\) |
\(+\cot \theta\) |
\(+\sec \theta\) |
\(+\text{cosec} \theta\) |
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