The value of tan 2 ( sec - 1 2 ) + cot 2 ( csc - 1 3 ) is:

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Solution

Q.
The value of $\tan^{2} (\sec^{- 1} 2) + \cot^{2} (c o s e c^{- 1} 3)$ is:

1 5

2 11

3 13

4 15

Ans.
(2)

Ans. 11

Explanation:

$\tan^{2} (\sec^{- 1} 2) + \cot^{2} (c o s e c^{- 1} 3)$

$= \sec^{2} (\sec^{- 1} 2) - 1 + c o s e c^{2} (c o s e c^{- 1} 3) - 1$

$= 2^{2} + 3^{2} - 2$

$= 11$

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