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If x=sec^(2)(tan^(-1)2)+cos ec^(2)(cot^(...

If `x=sec^(2)(tan^(-1)2)+cos ec^(2)(cot^(-1)3)` and `y=tan^(-1)((sqrt(1+tan^(2))8-1)/(tan8))` then `15x^(2)+4y^(2)` is equal to `3434+lambda` where `lambda=`

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

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