Pythagorean Identities
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Transcript of Pythagorean Identities
Pythagorean Identitiessin2 + cos2 = 1tan2 + 1 = sec2 cot2 + 1 = csc2 Reciprocal Identities
Ratio Identities
Odd/Even Identities
sin (x) = sin xcos (x) = cos xtan (x) = tan xcsc (x) = csc xsec (x) = sec xcot (x) = cot x
Cofunction Identities, radiansCofunction Identities, degrees
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 Identities, radiansPeriodicity Identities, degrees
sin (x + 2) = sin xcsc (x + 2) = csc xsin (x + 360) = sin xcsc (x + 360) = csc x
cos (x + 2) = cos xsec (x + 2) = sec xcos (x + 360) = cos xsec (x + 360) = sec x
tan (x + ) = tan xcot (x + ) = cot xtan (x + 180) = tan xcot (x + 180) = cot x
Sum/Difference Identities
Double Angle Identities
Half Angle Identities
orororor
Product to Sum Identities
Sum to Product Identities