Negative Angle Identities

Even and Odd Function Identities

Function	Formula	Property	Description
sin(-θ)	$-\sin\theta$	Odd Function	Sine is antisymmetric - reflects through origin with sign change
cos(-θ)	$\cos\theta$	Even Function	Cosine is symmetric - reflects through y-axis without sign change
tan(-θ)	$-\tan\theta$	Odd Function	Tangent is antisymmetric - follows from sine/cosine properties
csc(-θ)	$-\csc\theta$	Odd Function	Cosecant inherits odd property from sine as its reciprocal
sec(-θ)	$\sec\theta$	Even Function	Secant inherits even property from cosine as its reciprocal
cot(-θ)	$-\cot\theta$	Odd Function	Cotangent is antisymmetric - derived from cosine/sine ratio