Calc formula - TRIGONOMETRY Definitionof the Six...

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TRIGONOMETRY Definitionof the Six TrigonometricFunctions Right triangle definitions, where 0 < () < 'TT/2. sin () = opp. hypo adj. Opposite cos () = - h yp. tan () = op~. Adjacent adj. Circular function definitions, where () is any angle. Y y r sin () = - csc () = - r y cos () = ~ see () = !:. r x x tan () = l: cot () = ~ x y Reciprocal Identities . 1 1 smx=- secx=- csc x cos x 1 tan x = cot x 1 cot x = tan x 1 csc x = sin x 1 cosx=secx Tangentand CotangentIdentities sin x cos x tan x = - cot x = ---;-- cos x sm x Pythagorean Identities sin2 x + cos2 x = 1 1 + tan2 x = sec2 x 1 + cot2 x = csc2 X CofunctionIdentities sin (~-x) = eos x csc(~ - x) = see x see (~-x) = csc x cos(~-x) = sin x tan(~ -x) = cot x cot(~-x) = tan x ReductionFormulas sin( - x) = -sin x cos(- x) = cos x csc(-x) = -csc x tan(-x) = -tan x sec(- x) = see x cot( - x) = -cot x Sumand DifferenceFormulas sin(u:!::v) = sin u eos v :!::COS u sin v cos(u:!::v) = cos u cos v :+ sin u sin v tanu:!::tanv tan(u+v) = - l:+tanutanv csc () = hypo
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This note was uploaded on 01/15/2010 for the course FIN 357 taught by Professor Hadaway during the Fall '06 term at University of Texas at Austin.

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Calc formula - TRIGONOMETRY Definitionof the Six...

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