The value of ${cos}^{- 1} (- 1) - {sin}^{- 1} (1)$ is

π

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\frac{π}{2}

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\frac{3 π}{2}

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- \frac{3 π}{2}

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Solution

The correct option is B $\frac{π}{2}$
$E = π - c o s^{- 1} (1) - s i n^{- 1} (1) = π - \frac{π}{2} = \frac{π}{2}$

$∵ c o s^{- 1} (- x) = π - c o s^{- 1} x$

and $c o s^{- 1} x + s i n^{- 1} x = \frac{π}{2}$

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The value of $c o s^{- 1} (c o s \frac{3 π}{2})$ is

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