Since sinθ,cosθ,andtanθ are in GP cos2θ=sinθtanθ =sinθsinθcosθ or cos3θ=sin2θ orcos3θsin2θ=1 orcos3θsin3θ=1sinθ or cot3θ=cosecθ ∴cot6θ−cot2θ=cosec2θ−(cosec2θ−1)=1
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