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sec^(2)(tan^(-1)5)+cosec^(2)(cot^(-1)5)=...

`sec^(2)(tan^(-1)5)+cosec^(2)(cot^(-1)5)=`

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sec^(2)(tan^(-1)4)+cosec^(2)(cot^(-1)5) = ________

sec^(2)(tan^(-1)4)+cosec^(2)(cot^(-1)3) =

sec^(2)(tan^(-1)2) +"cosec"^(2)(cot^(-1)3)=

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sec^(2)(tan^(-1)2) + "cosec"^(2)(cot^(-1)3)=

Prove that: sec^(2) (tan^(-1)2) + "cosec"^(2)(cot^(-1)3)=15 .