Sum and Difference Identities

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$$\sin\ 75^{o\ }$$  

$$\sin\ 33^o\cos42^o+\cos33^o\sin42^o$$  

$$\sin\ 33^o\cos42^o-\cos33^o\sin42^o$$  

$$\cos33^o\cos42^o+\sin33^o\sin42^o$$  

$$\tan75^o$$  

$$\tan\ 15^o$$  

$$\frac{\sin45^o}{\cos30^o}$$  

$$\tan90^{o\ }$$  

$$\sin\ 90^{o\ }$$  

$$\sin\ 60^{o\ }$$  

$$\cos\ 90^{o\ }$$  

$$\cos\ 60^{o\ }$$  

$$-\frac{33}{65}$$  

$$\frac{33}{65}$$  

$$\frac{1}{2}$$  

$$\frac{12}{13}$$  

$$\frac{\sqrt{6}+\sqrt{2}}{4}$$  

$$\frac{\sqrt{6}-\sqrt{2}}{4}$$  

$$\frac{\sqrt{2}-\sqrt{6}}{4}$$  

$$-\frac{\sqrt{3}}{2}$$