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The values of $\sec^{2} (\tan^{- 1} 2) + {cosec}^{2} (\cot^{- 1} 3) =$

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Correct option is C

We have,sec2⁡tan−1⁡2+cosec2⁡cot−1⁡3=sec⁡tan−1⁡22+cosec⁡cot−1⁡32=sec⁡tan−1⁡212+cosec⁡cot−1⁡312=sec⁡sec−1⁡52+cosec⁡cosec−1⁡102=(5)2+(10)2=15

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The values of sec2⁡tan−1⁡2+cosec2⁡cot−1⁡3=

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The values of $\sec^{2} (\tan^{- 1} 2) + {cosec}^{2} (\cot^{- 1} 3) =$