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FormulaSheet,MA154

# FormulaSheet,MA154 - b 2 4 2 b b ac x a − ± − =...

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11/11 MA 15400 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: QUADRATIC FORMULA: cos = ( r a ) ( r b ) r a r
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Unformatted text preview: b 2 4 2 b b ac x a − ± − = STANDARD FORM FOR CONICS: x − h ( ) 2 a 2 + y − k ( ) 2 b 2 = 1 x − h ( ) 2 a 2 − y − k ( ) 2 b 2 = 1 ( y − k ) 2 = 4 p ( x − h ) x − h ( ) 2 b 2 + y − k ( ) 2 a 2 = 1 y − k ( ) 2 a 2 − x − h ( ) 2 b 2 = 1 ( x − h ) 2 = 4 p ( y − k ) A B C c a b α β γ...
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