Barrons AP Calculus

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TRIGONOMETRY

BASIC   IDENTITIES

sin^2   θ   +   cos^2   θ   =   1.

1    +  tan^2   θ   =   sec^2   θ.

1    +  cot^2   θ   =   csc^2   θ.

SUM AND DIFFERENCE  FORMULAS

sin (α  ±   β)  =   sin α   cos β   ±   cos α   sin β.

cos (α  ±   β)  =   cos α   cos β       sin α   sin β.

DOUBLE-ANGLE    FORMULAS

sin 2α  =   2   sin α   cos α.

cos 2α  =   cos^2   α   −   sin^2   α   =   2   cos^2   α   −   1   =   1   −   2   sin^2   α.

HALF-ANGLE  FORMULAS

REDUCTION   FORMULAS

sin (−α)    =   −sin    α: cos  (−α)    =   cos α.

sin (π  −   α)  =   sin α; cos  (π  −   α)  =   −cos    α.