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Question
cot2θ - tan2θ = cosec2θ - sec2θ
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Solution
डावी बाजू = cot2θ - tan2θ
= `("cosec"^2θ - 1) - (sec^2θ - 1)` .......`[(∵ tan^2θ = sec^2θ - 1), (cot^2θ = "cosec"^2θ - 1)]`
= cosec2θ - 1 - sec2θ + 1
= cosec2θ - sec2θ
= उजवी बाजू
∴ cot2θ - tan2θ = cosec2θ - sec2θ
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