SUMMARY OF VERY IMPORTANT IDENTITIES

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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)
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