Pythagorean Identities
by EngliSea on 2026-11-05


Pythagorean Identities

SOH CAH TOA
sin²(x) + cos²(x) = 1
tan²(x) + 1 = sec²(x)
1 + cot²(x) = csc²(x)

Slope is rise over run.
⦶²(x) + ⊖²(x)
= (opposite/hypotenuse)² + (adjacent/hypotenuse)²
= hypotenuse²/hypotenuse²
= 1
⊘²(x) + 1 = ⊖⁻²(x)
1 + ⊘⁻²(x) = ⦶⁻²(x)


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Pythagorean Identities.

Soh Caa Toa.
sine squared of x + cosine squared of x equals 1.
tangent squared of x + 1 equals secant squared of x.
1 + co-tangent squared of x equals co-secant squared of x.

Slope is rise over run.
Rise squared of x + run squared of x equals 1.
Slope squared of x + 1 equals run reciprocal squared of x.
1 + slope reciprocal squared of x equals rise reciprocal squared of x.