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periodicity identities

Periodicity Identities

Trig identities showing the periodic behavior of the six trig functions.

 

Periodicity Identities, radians

 Periodicity Identities, degrees

sin (x + 2π) = sin x

csc (x + 2π) = csc x

 

sin (x + 360°) = sin x

csc (x + 360°) = csc x

cos (x + 2π) = cos x

sec (x + 2π) = sec x

 

cos (x + 360°) = cos x

sec (x + 360°) = sec x

tan (x + π) = tan x

cot (x + π) = cot x

 

tan (x + 180°) = tan x

cot (x + 180°) = cot x

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