Even/Odd Identities
by EngliSea on 2026-11-06


Even/Odd Identities

SOH CAH TOA
sin(-x) = -sin(x)︱cos(-x) = cos(x)︱tan(-x) = -tan(x)
csc(-x) = -csc(x)︱sec(-x) = sec(x)︱cot(-x) = -cot(x)

Slope is rise over run.
⦶(-x) = -⦶(x)︱⊖(-x) = ⊖(x)︱⊘(-x) = -⊘(x)
⦶⁻¹(-x) = -⦶⁻¹(x)︱⊖⁻¹(-x) = ⊖⁻¹(x)︱⊘⁻¹(-x) = -⊘⁻¹(x)


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Even/Odd Identities

Soh Caa Toa.
Sine of negative x equals negative sine of x.
Cosine of negative x equals cosine of x.
Tangent of negative x equals negative tangent of x.
Co-secant of negative x equals negative co-secant of x.
Secant of negative x equals secant of x.
Co-tangent of negative x equals negative co-tangent of x.

Slope is rise over run.
Rise of negative x equals negative rise of x.
Run of negative x equals run of x.
Slope of negative x equals negative slope of x.
Rise reciprocal of negative x equals negative rise reciprocal of x.
Run reciprocal of negative x equals run reciprocal of x.
Slope reciprocal of negative x equals negative slope reciprocal of x.