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Prove that: .
Prove that: $\tan^2(\sec^{-1} 2) + \cot^2(\operatorname{cosec}^{-1} 3) = 11$.
Given: $\tan^2(\sec^{-1} 2) + \cot^2(\operatorname{cosec}^{-1} 3)$
To show: $11$
Answer
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From ISC 2020 Mathematics Paper 1, question 1(ii).