The value of $c o s [2 t a n^{- 1} (7)]$ is

49/50

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- 49/50

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24/25

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- 24/25

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Solution

The correct option is D
- 24/25

$c o s [2 t a n^{- 1} (7) = c o s [c o s^{- 1} (\frac{1 - (49)}{1 + 49})]]$
$= c o s [c o s^{- 1} (- \frac{48}{50})]$
$= c o s [π - c o s^{- 1} (\frac{48}{5})]$
$= - c o s c o s^{- 1} (\frac{48}{50})$
$= - \frac{48}{50} = - \frac{24}{25}$

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