The value of cos - 1 ( cos 3 2 ) is equal to:

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Solution

Q.
The value of $\cos^{- 1} (\cos \frac{3 π}{2})$ is equal to:

1 $\frac{π}{2}$

2 $\frac{3 π}{2}$

3 $\frac{5 π}{2}$

4 $\frac{7 π}{2}$

Ans.
(1)

Ans.    $\frac{π}{2}$

Explanation:

   $\cos^{- 1} (\cos \frac{3 π}{2}) \neq \frac{3 π}{2}$ as   $\frac{3 π}{2} \notin [0, π]$

$∴$    $\cos^{- 1} (\cos \frac{3 π}{2}) = \cos^{- 1} (0) = \frac{π}{2}$

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