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Pythagorean Identity
sin²θ + cos²θ = 1
Secant Identity
1 + tan²θ = sec²θ
Cosecant Identity
1 + cot²θ = csc²θ
Cosine Identity
cos²θ = 1 - sin²θ
Tangent Identity
tan²θ = sec²θ - 1
Cotangent Identity
cot²θ = csc²θ - 1
Sine-Cosine Relation
sin²θ - 1 = -cos²θ
Alternate Pythagorean Identity
1 = sec²θ - tan²θ
Alternate Cosecant Identity
1 = csc²θ - cot²θ