Explanation:
LHS= csc^2 θ . tan^2 θ - 1
= (1/Sin^2 θ). (Sin^2 θ / cos^2 θ) - 1
= 1/cos^2 θ - 1
= (1 - cos^2 θ) / cos^2 θ
= sin^2 θ / cos^2 θ
= tan^2 θ
= RHS
Hence proved
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