SUMMARY OF VERY IMPORTANT IDENTITIES SUM AND DIFFERENCE FORMULAS cos ( A + B ) = cos A cos B − sin A sin B cos ( A − B ) = cos A cos B + sin A sin B sin ( A + B ) = sin A cos B + sin B cos A sin ( A − B ) = sin A cos B − sin B cos A tan A + tan B tan ( A + B ) = (5 ) 1 − tan A tan B tan A − tan B tan ( A − B ) = (6) 1 + tan A tan B (1) (2) (3 ) (4) DOUBLE ANGLE FORMULAS cos 2 A = cos 2 A − sin 2 A (7) cos 2 A = 2cos 2 A − 1 (8) cos 2 A = 1 − 2sin 2 A (9) sin 2 A = 2sin A cos A tan 2 A = 2tan A 1 − tan 2 A (10 ) (11)