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Show that "sec"^(2)(Tan^(-1)2)+"cosec"^(...

Show that `"sec"^(2)(Tan^(-1)2)+"cosec"^(2)(Cot^(-1)2) =10`

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sec^(2)(Tan^(-1)2)+cosec^(2)(Cot^(-1)3)=

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

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

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

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

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

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

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

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

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