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7 steps: (1) Pythagorean identity: sin²θ + cos²θ = 1 (derived from a²+b²=c², divide by c²). (2) Derived: tan²θ + 1 = sec²θ, and 1 + cot²θ = csc²θ. (3) Reciprocal identities: cscθ=1/sinθ, secθ=1/cosθ, cotθ=1/tanθ. (4) Quotient: tanθ=sinθ/cosθ. (5) Using identities to simplify: sin²θ/(1-cos²θ) = sin²θ

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