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Trigonometric identities to verify, showing equations involving tangent, cosine, sine, cotangent, secant, cosecant, and their relationships.

Verification of trigonometric identities with four equations to be proven, including -tan θ cos θ = sin(-θ), cot² θ (1 + tan² θ) = csc² θ, sec θ / csc θ = tan θ, and sin² θ (csc² θ - 1) = cos² θ.

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