Monday 6 August 2012

Trigonometry

Trigonometry 



Pythagorean Identities
sin2 θ + cos2 θ = 1
tan2 θ + 1 = sec2 θ
cot2 θ + 1 = csc2 θ
Reciprocal Identities
Ratio Identities



Odd/Even Identities
sin (–x) = –sin x
cos (–x) = cos x
tan (–x) = –tan x
csc (–x) = –csc x
sec (–x) = sec x
cot (–x) = –cot x

Cofunction IdentitiesradiansCofunction Identitiesdegrees
sin (90° – x) = cos xcos (90° – x) = sin x
tan (90° – x) = cot xcot (90° – x) = tan x
sec (90° – x) = csc xcsc (90° – x) = sec x

Periodicity IdentitiesradiansPeriodicity Identitiesdegrees
sin (x + 2π) = sin xcsc (x + 2π) = csc xsin (x + 360°) = sin xcsc (x + 360°) = csc x
cos (x + 2π) = cos xsec (x + 2π) = sec xcos (x + 360°) = cos xsec (x + 360°) = sec x
tan (x + π) = tan xcot (x + π) = cot xtan (x + 180°) = tan xsin (x + 180°) = cot x







Half Angle Identities
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SOURCE :INTERNET