prove that tan0​ -cot0 =2sin20-1/sin0cos0

RHS, 2sin2θ-1sinθcosθ=-1-2sin2θsinθcosθ=-cos2θsinθcosθ=sin2θ-cos2θsinθcosθ=sin2θsinθcosθ-cos2θsinθcosθ=tanθ-cotθ

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