CALCULUS II INFORMATION SHEET

Trig Integrals

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Inverse Trig Integrals

 

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TRIG IDENTITIES

cos 2 x + sin 2 x = 1 sec 2 x = 1 + tan 2 x

csc 2 x = 1 + cot 2 x cos 2 x = ½ (1 + cos 2x)

sin 2 x = ½ (1 - cos 2x) sin 2x = 2 sin x cos x

cos 2x = cos 2 x - sin 2 x
cos 2x = 1 - 2 sin 2 x
cos 2x = 2 cos 2 x - 1

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PRODUCT FORMULAS

sin u cos v = ½ [sin (u + v) + sin (u - v)] cos u sin v = ½ [sin (u + v) - sin (u - v)]

cos u cos v = ½ [cos (u + v) + cos (u - v)] sin u sin v = ½ [cos (u - v) - cos (u + v)]

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