Allied angles table

Allied angles table

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

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Negative angle identities
Negative angle identities -

 

$$ 1. \ \sin (−t)=−\sin (t) $$

$$ 2....

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