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sin (A + B)
sin A cos B + cos A sin B
sin (A - B)
sin A cos B - cos A sin B
tan (A + B)
\frac{\left(\tan A+\tan B\right)}{\left(1-\tan A\tan B\right)}
tan (A - B)
\frac{\left(\tan A-\tan B\right)}{1+\tan A\tan B}
sin 2A
2 sin A cos A
cos 2A (1)
cos² A - sin² A
cos 2A (2)
2 cos² A - 1
cos 2A (3)
1 - 2 sin² A
sin (A/2)
±\sqrt{\frac{\left(1-\cos A\right)}{2}}
cos (A/2)
±\sqrt{\frac{\left(1+\cos A\right)}{2}}