fs - MA 154 FORMULA SHEET ADDITION AND SUBTRACTION FORMULAS...

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8/02 MA 154 FORMULA SHEET ADDITION AND SUBTRACTION FORMULAS sin( u + v ) = sin u cos v + cos u sin v sin( u v ) = sin u cos v cos u sin v cos( u + v ) = cos u cos v sin u sin v cos( u v ) = cos u cos v + sin u sin v tan( u + v ) = tan u + tan v 1 tan u tan v tan( u v ) = tan u tan v 1 + tan u tan v DOUBLE-ANGLE FORMULAS sin(2 u ) = 2sin u cos u cos(2 u ) = cos 2 u sin 2 u tan(2 u ) = 2tan u 1 tan 2 u PYTHAGOREAN IDENTITIES sin 2 θ + cos 2 = 1 1 + tan 2 = sec 2 1 + cot 2 = csc 2 LAW OF SINES LAW OF COSINES sin α a = sin β b = sin γ c c 2 = a 2 + b 2 2 ab cos ANGLE BETWEEN TWO VECTORS: cos = ( G a ) ( G b
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This note was uploaded on 02/07/2011 for the course MA 154 taught by Professor Delworth during the Fall '08 term at Purdue University-West Lafayette.

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