Effect of Adding/Subtracting Angles on Trignometric Ratios

Following is the manner in which trigonometric ratios are affected when adding/subtracting angles:

Anglessincostancosecseccot
90°-θ\(\cos\theta\)\(\sin\theta\)\(\cot\theta\)\(\sec\theta\)cosec \(\theta\)\(\tan\theta\)
90°+θ\(\cos\theta\)\(-\sin\theta\)\(-\cot\theta\)\(\sec\theta\)\(-\)cosec \(\theta\)\(-\tan\theta\)
180°-θ\(\sin\theta\)\(-\cos\theta\)\(-\tan\theta\)cosec \(\theta\)\(-\sec\theta\)\(-\cot\theta\)
180°+θ\(-\sin\theta\)\(-\cos\theta\)\(\tan\theta\)\(-\)cosec \(\theta\)\(-\sec\theta\)\(\cot\theta\)
270°-θ\(-\cos\theta\)\(-\sin\theta\)\(\cot\theta\)\(-\sec\theta\)\(-\)cosec \(\theta\)\(\tan\theta\)
270°+θ\(-\cos\theta\)\(\sin\theta\)\(-\cot\theta\)\(-\sec\theta\)cosec \(\theta\)\(-\tan\theta\)
360°-θ\(-\sin\theta\)\(\cos\theta\)\(-\tan\theta\)\(-\)cosec \(\theta\)\(\sec\theta\)\(-\cot\theta\)
360°+θ\(\sin\theta\)\(\cos\theta\)\(\tan\theta\)cosec \(\theta\)\(\sec\theta\)\(\cot\theta\)
Please note that in all above formulae \(0\leqslant \theta \leqslant 90\)°

Also, for all values of θ:
\(\sin(-\theta)=-\sin(\theta)\)\(\cos(-\theta)=\cos(\theta)\)\(\tan(-\theta)=-\tan(\theta)\)
cosec \((-\theta)=-\) cosec \((\theta)\)\(\sec(-\theta)=\sec(\theta)\)\(\cot(-\theta)=-\cot(\theta)\)