Find the value of :
$sec^{2} (tan^{- 1} 2) + csc^{2} (cot^{- 1} 3)$

11

15

17

21

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Find the value of :

sec^{2} (tan^{- 1} 2) + csc^{2} (cot^{- 1} 3)

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Text solutionVerified

sec^{2} (tan^{- 1} 2) + csc^{2} (cot^{- 1} 3)

= 1 + tan^{2} (tan^{- 1} 2) + 1 + cot^{2} (cot^{- 1} 3)

= 1 + [tan (tan^{- 1} 2)]^{2} + 1 + [cot (cot^{- 1} 3)]^{2} = 1 + 2^{2} + 1 + 3^{2} = 15

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Question Text	Find the value of : $sec^{2} (tan^{- 1} 2) + csc^{2} (cot^{- 1} 3)$
Answer Type	Text solution:1
Upvotes	150