m112fs - A bc c b a cos 2 2 2 2 − = Law of Sines c C b B...

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1 MATH 112 FORMULA SHEET Logarithms and Exponentials The value A after t years of an investment of principal P paying interest at an annual rate r : with interest compounded n times a year: nt n r P A ) 1 ( + = with interest compounded continuously: rt Pe A = The population P after time t , with initial population P 0 and relative growth rate k : kt e P P 0 = The mass M of a radioactive element after time t , with initial amount M 0 , and relative decay rate k : kt e M M = 0 Change of base formula: Trigonometry : Notation: 2 2 ) (sin ) ( sin θ = Arc Length: ( in radians): r S = Area of a sector ( in radians): 2 2 1 r A s = Area of a triangle: C ab A sin 2 1 = Law of Cosines:
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Unformatted text preview: A bc c b a cos 2 2 2 2 − + = Law of Sines: c C b B a A sin sin sin = = Addition and Subtraction Formulas : Double Angle Formulas : Half Angle Formulas: b a b a b a b a b a b a b a b a b a b a b a b a sin sin cos cos ) cos( sin sin cos cos ) cos( sin cos cos sin ) sin( sin cos cos sin ) sin( + = − − = + − = − + = + a a a a a a 2 2 sin cos ) 2 cos( cos sin 2 ) 2 sin( − = = 2 cos 1 2 cos 2 cos 1 2 sin a a a a + ± = − ± = a x x b b a log log log =...
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