The correct option is B 1As we know that sec^ 1( 2)=2π3 ∴cos(π3+sec^ 1( 2))=cos(π3+2π3)=cosπ= 1 ...

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Inequalities of Integrals

cos-1π3+sec-1...

Question

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

-1

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None of these

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Solution

The correct option is B -1
As we know that
${sec}^{- 1} (- 2) = \frac{2 π}{3}$
$∴ cos (\frac{π}{3} + {sec}^{- 1} (- 2)) = cos (\frac{π}{3} + \frac{2 π}{3}) = cos π = - 1$

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